番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-12/

1. New bound on the Hausdorff dimension of Kakeya sets in $\mathbb{R}^4$
2. A higher-dimensional Schr\"odinger maximal estimate along families of bi-Lipschitz curves
3. The square function estimate for the cone in four dimensions
4. Limit cycles of slow-fast quintic Lienard systems
5. Sharp power-weight estimates for the fractional spherical maximal operator
6. Hsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature
7. Spread-out Furstenberg sets I: the sticky case
8. Spread-out Furstenberg sets II: general configurations and fractal restricted projections
9. The second type of power mean bounds for the hypergeometric mean
10. Characterizing higher-dimensional H\"older domains via spherical geometric functions
11. Volume stability of plank covers
12. High-Index Asymptotics of Mathieu Spectral Gaps and Splittings
13. Reasonable bounds for Restricted Polynomial Progressions in $\mathbb F^n_p$
14. Dimension-free Markov--Bernstein-type inequality for $\mathbb R^2$-valued polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-09/

1. The Kakeya problem for codimension-two planes in $\mathbb{R}^n$
2. Multilinear rough singular integral operators may not be of the weak type at the endpoint
3. Revisiting Positive Exponent power weighted Stein-Weiss inequalities in $L^1$
4. Fourier Restriction Beyond Dimension Data: A Multiscale Moment Criterion
5. On a control problem for two orthogonal nets of curves in the plane
6. Box dimension profiles and intermediate dimensions
7. Fourier quasicrystals with positive integer masses are sections of Lee-Yang cycles
8. The Erd\H{o}s-Falconer distance problem in the integer lattice
9. Equidistribution of number theoretic point sets in the torus and the sphere in Wasserstein metric and $L^2$ discrepancy
10. Universal Radial Laws for Random Polynomials: Erd\H{o}s Problem #522 and Non-Universal Fluctuations
11. Bounds on the maximum number of limit cycles of piecewise linear Lienard systems II. The discontinuous case
12. Hierarchical Melnikov Realization: Logarithmic Factor Improvement to Hilbert Number Lower Bounds
13. A Computationally-Efficient Closed-Form $C^{s,1}$-Extension Formula
14. Measurable obstructions for unmeasurable colourings
15. Directed fractal percolation and non-Lipschitz variants
16. Estimates on Fully Nonlinear Elliptic Equations with Unrectifiable Exceptional Gradient Sets
17. Global asymptotic stability of homogeneous polynomial vector fields is undecidable

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-08/

1. Positive-measure intersections of Bedford-McMullen carpets under similitudes
2. Sparse domination modulo polynomials
3. On an infinitely divisible distribution involving modified Bessel functions
4. A method for generating multivariate multiple orthogonal polynomials
5. Bounds on the maximum number of limit cycles of piecewise linear Lienard systems I. The continuous case
6. On $L^p$ norms of maximal operators
7. Galois descents of certain multiple polylogarithms
8. A sharp spectral multiplier theorem on the Engel group
9. A family of Hurwitz polynomial vector fields in $\mathbb{R}^3$ having non-constant periodic orbits
10. The full shadow of a polynomial I. The limiting core and the transient set
11. Sharp Hilbert transform norms on Schatten classes: classification and optimal spectral corrections
12. Collapse and saturation for radial nodal solutions of a Lorentz--Minkowski mean curvature equation
13. Exact bounds on the distribution function of isotropic log-concave distributions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-07/

1. Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces
2. Equilibria of Inverse-Square Repulsion on the Line Are Arithmetic Progressions
3. Full-Range $\Gamma$-Convergence of Weak-Type Nonlocal Functionals
4. $\mathcal C^m$ solutions of semialgebraic equations on curves
5. A Proof of McLeod's 1959 Conjecture on Complete Homogeneous Symmetric Ratios
6. A Mizohata--Takeuchi-type estimate for the hyperbolic paraboloid
7. Sharp two-sided bounds for the product of modified Bessel functions and for its logarithmic derivative
8. Counterexamples to Hardy--Littlewood maximal inequalities on solvable groups
9. Moduli of smoothness and growth of the Laguerre transform: two-sided estimates
10. Almost sparse operators and Bergman projectors on trees
11. Positive Bidiagonal Factorizations and Mixed-Type Chebyshev Multiple Orthogonal Polynomials
12. Local level sets of the Takagi-van der Waerden function
13. A sharp density bound for infinite convolutions
14. Higher additive energies on discrete cubes
15. Sampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomials
16. Kuznecov formulas for domains with fractal boundary
17. Liouvillian first integrals of differential equations: A Galoisian approach

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-06/

1. A note on the asymmetric discretised ring theorem
2. Projection theorems for macroscopic intermediate dimensions
3. Multiple solutions of singular periodic problems
4. On the mapping properties of a radially power-weighted k-plane transform
5. On pointwise convergence of singular integrals of Christ-Journ\'e type
6. Lower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfaces
7. Sparse domination and the bi-parameter Hilbert transform
8. The strong $\ell^r$ spherical maximal function
9. Lebesgue measure of distance sets and $L^2$ ball inflation
10. Dunkl--BMO functions representable in terms of generalized balayage of Carleson measures and an application
11. Null-additive sets and packing measures
12. Addition formula for two families of orthogonal polynomials in several variables
13. Weak reverse H\"older inequalities for doubling measures
14. A Fraction Dimensional Kakeya Compression
15. Improved dimension bounds for Falconer's distance problem in the plane
16. Multilinear transference on product spaces and applications
17. A uniqueness result for two-step indefinite $p$-Laplacian equations
18. Refinements on the Restriction and Kakeya problems range in $\mathbb{R}^4$
19. Point Configurations in Brownian Traces
20. Pointwise Convergence of Random Ergodic Averages at the \(L^1\) Endpoint
21. Sharp Poincar\'e Inequalities for Families of Nonlocal Nonconvex Functionals
22. Borwein-Bradley-type identities for Ramanujan-type series for $1/\pi^4$
23. From Sharp Self-Improvement to Exact Perimeter Formulas in Bourgain--Brezis--Mironescu Spaces
24. Sharp uniform stability of the logarithmic Sobolev inequality on finite cycles and stability of the cubic Sobolev inequality
25. From the Sphere to the Grassmannian: Continuous Brascamp--Lieb Inequalities via Measure Approximation and Heat Flow
26. Exactness of weighted exponential systems with a defect
27. Characterization of the boundedness of the discrete Fractional maximal operator between weighted in Lorentz sequence spaces
28. Optimal Tail Estimates for Differential Equations Driven by Fractional Brownian Motion
29. Noncommutative maximal inequalities for polynomial ergodic averages
30. Uniform oscillation properties of almost periodic functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-05/

1. Maximal directional singular integrals
2. Space curve Fourier restriction for orthonormal functions
3. Weak type $(1,1)$ bounds for oscillatory singular integrals with rough kernels
4. Sharp rational points counting near nondegenerate curves in $\mathbb{R}^n$
5. Counterexamples for Rational Points Near Curves
6. Input-Endpoint Compactness and Essential Norms for Weighted Bilinear Hardy Operators
7. Compactness and Essential Distances of Weighted Bilinear Hardy-Steklov Operators
8. Differential inclusions and the chattering phenomenon

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-02/

1. Stability of concentration in the Paley-Wiener space
2. Strip Decoupling Inequalities for the Paraboloid in $\mathbb{R}^3$
3. Quantitative possibilities for Baxter's theorem in nonlinear Fourier analysis
4. Endpoint Mapping Properties of Wave Operators for Schr\"odinger Operators in Dimensions $n\ge3$
5. Vanishing orders of Dirichlet solutions to the Schr\"odinger equation in dimensions three and higher
6. Quadratic distances in even dimensions over prime fields
7. Decoupling and Tail Laws for Small-Order Metric-Valued Nonlocal Energies: A Structural View of the Maz'ya--Shaposhnikova Formula
8. An abstract averaging method for quasilinear equations
9. An averaging method for periodic solutions of quasilinear equations in Banach spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-01/

1. Hyperplane Incidences and Distance Sets in Higher Dimensions
2. Tur\'an type inequalities for oscillatory special functions
3. Sharp volume bounds for BRK-type sets of surfaces of revolution
4. The Minkowski $?(x)$ function and Salem's problem. II
5. On planar Nikodym-type sets
6. A Note on Capacity Muckenhoupt Weights with respect to the Hausdorff Content
7. Natural reparameterization and continuity of the solution map for polynomials
8. A Kac-Moody root system and linear ordinary differential equations
9. On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate
10. The Pearl ensemble and the logarithmic energy on the Sphere
11. More on dominated and microscopic sets
12. The Work of Hong Wang
13. Weak type $(1,1)$ boundedness of noncommutative singular integral operators with rough kernels
14. Small additive groups with $A+\xi A=\mathbb R$
15. Assouad type dimensions of generalized affine fractal interpolation functions and their applications
16. Exact barycentric rational interpolation of analytic functions with an application to the Bessel functions
17. Sharp spherical extension theorem in $\mathbb F_q^{2m}$ and applications
18. A stochastic Carleson embedding theorem with constant $e$ and the vector of Riesz transforms
19. A Hartman-Grobman theorem on Banach bundles
20. Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-30/

1. Subadditive bijections on the positive reals
2. A note on Rainwater's Theorem
3. Positive Cubature Compression and Optimal Hyperinterpolation Stability on a Conic Surface
4. Assouad and Lower Dimensions of Graphs of Weierstrass-Type Functions with Rapidly Growing Frequencies
5. Compactness and Essential Norms of Weighted Bilinear Hardy Operators on General Intervals
6. Flag multiresolutions: T1, paraproducts and commutators
7. Critical Points of Line Restrictions of Signed Point-Charge Potentials
8. Sharp Thresholds for Distance Patterns in Random Subsets of $\mathbb Z^d$
9. Absolutely Continuous Convolutions and Projections of Fractal Measures
10. Beyond Constant Truncations: The Bounded Sobolev Approximation Gap
11. Polynomial Counterexamples to Shanks' Conjecture in Dirichlet-Type Spaces over the Bidisc
12. Optimal Hardy Inequalities for Fractional $p$-Laplacians on the Integers
13. Elementary Askey-Wilson Functions
14. The double descent and Runge phenomena in overparametrized polynomial interpolation
15. A geometric rigidity estimate for codimension-1 immersions into spheres

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-29/

1. Hahn-Type Orthogonality for the Resolvent Delta Operator $\mathscr L=D(I-D)^{-1}$
2. A component-wise inequality for permutation matches
3. Characterization of the boundedness of the segment multiplier on weighted Lebesgue spaces
4. Sharp Bernstein--Nikolskii inequalities for polynomials and entire functions of exponential type
5. Sharp lower bounds for the periodic maximal Schr\"odinger operator in higher dimensions
6. Rigidity of reflectionless Riesz measures and Sobolev estimates for Riesz transforms on Lipschitz graphs
7. Gabor frames with no Gabor duals
8. Endpoint Absolute Monotonicity for the Complete Elliptic Integral of the First Kind
9. Stochastic maximal $L^p$-regularity for non-autonomous evolution equations with fractional derivative in UMD spaces
10. Sharp $L^p$ estimates for the strong spherical maximal operator
11. Level set estimates for strictly convex and hyperbolic functions
12. Mollified disc multipliers
13. Discreteness, finite rank, and stability of p-frame energy minimizers
14. Weighted Bernstein-type inequalities on a trapezoidal domain
15. A Formalism for Merging Power Series in Solving Multinomial Equations: Master Series and Master Numbers
16. Favard length of non-homogeneous random disc-like Cantor sets
17. Sharp Matrix $\mathcal A_p$ lower bounds for general non-degenerate convolution Calder\'on--Zygmund operators
18. Rough Singular Integrals and Marcinkiewicz Integrals on Product Spaces, with $H^1$ Characterizations on Product Spheres
19. The Guo-Zhang-Qi conjecture and positive Laplace kernels for a digamma power family
20. Monotone Sobolev functions: approximation, critical points, and level sets
21. Weak Endpoint Estimate for Commutators of Rough Maximal Singular Integral operators
22. Positive measure and level sets of the Takagi function
23. Sharp Quantitative Matrix-Weighted Estimates for Fractional Integrals and Sobolev Inequalities
24. On the Nazarov--Shcheglova Conjecture for Sharp Sobolev Inequalities: The Case (n,p)=(3,2)
25. Wave Packet Density in Local Smoothing: Refinements and Limitations
26. Weak Tiling by Unions of Non-overlapping Unit Cubes
27. Pitt Inequalities and Logarithmic-type Uncertainty Principles for Metaplectic Operators
28. Sharp weighted $L^1$ bounds for Coulomb fields on the sphere
29. The Szemer\'edi-Trotter Estimate in Finite Field with its Applications
30. Algorithmic Implementation of Multi-Window STFT Phase Retrieval
31. Visibility problem in higher dimensions
32. Toward P\'olya and Szeg\H{o}'s conjecture for logarithmic vs Newtonian capacity
33. Mean values, order, and convergence in the Hardy space of Dirichlet series
34. Jackson-type Inequalities with Explicit Weight Dependence for N-term Wavelet Approximation on Localized Weighted Besov Classes
35. Oscillation of Second-Order Delay Equations with Positive Feedback
36. A Fourier approach to the sharp stability of Heisenberg Uncertainty Principles of higher and fractional orders: a new perspective
37. Rootwise estimates for Weyl alternants
38. Why Directly Learning Periodic Trajectories Can Fail
39. On $L^p$ bounds for the Littlewood-Paley $g_\alpha$ function with fractional poisson kernel
40. Sharp Gaussian divergence and Bernstein-Markov inequalities
41. Spherical ESPRIT by Paired Small Circles and Infinitesimal Rotations
42. The strong reproducing kernel thesis for Hankel operators and the Garsia norm
43. An elementary treatment of Ramanujan's elementary continued fractions
44. $k$-Fibonacci and $k$-Lucas numbers with the H\"older inequality
45. An improved high-low method for the parabola
46. Off-diagonal bounds for spectral projector kernels
47. Coxeter Symmetry in Hypergeometric Functions and Elliptic Integral Moments
48. Refined Gauss--Lobatto bounds for odd-order convexity
49. Convex counterexamples to the Schiffer and Pompeiu conjectures in dimensions three, four, six, eight, ten and fourteen
50. A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-28/

1. Almost-orthogonal Strichartz estimates and radial improvements
2. Discrete orthogonal polynomials related to Hahn difference operator
3. On convergence of formal Dulac series, satisfying an algebraic $q$-difference equation
4. Formalizing Carleson's Theorem in Lean
5. The Wiener norm of lifts of dense Sidon sets
6. Sharp weighted weak-type bounds for commutators of singular integrals
7. Prescribed projections for a general class of maps and efficient covering by variable plane curves
8. Phase retrieval for Schr\"odinger evolutions
9. Extremals and stability for the Folland-Stein inequality on H-type groups
10. Upper and lower fluctuations in Shallit's law of leap years in Pierce expansions
11. An elementary solution to the polarization problem
12. The derivative function of the zeta-star correspondence
13. Optimal stability hierarchies of the Heisenberg Uncertainty Principle for solenoidal fields and of the second order Caffarelli--Kohn--Nirenberg inequalities
14. Completely monotone negative powers of hyperbolic polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-25/

1. Endpoint Riesz transforms on normalized graphs
2. On the Alzer-Berg problem: an optimal Bernstein boundary and a uniqueness conjecture
3. Sharp power-mean comparisons for Gauss hypergeometric functions
4. Spectral eigenvalue problem of Cantor measures and Artin's primitive root conjecture
5. The ultraspherical background of the Jacobi phase expansion, in closed form
6. Critical Hausdorff Measure for Higher-Dimensional Bedford-McMullen Subshifts
7. Form domination and tent space estimates for operators on the half-space
8. Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution
9. Method I revisited: extension, continuity, and applications
10. Hausdorff-Young inequalities for $\mathrm{SU}(1,1)$ Fourier products indexed by binary cubes
11. Ornstein-Uhlenbeck semigroup maximal operator on weighted $L^p$ space
12. Wiman-Valiron inequalities in the unit disk outside sets of finite logarithmic measure
13. Absolute continuity and dimension conservation for self-similar sets and measures
14. Preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-24/

1. On $C^k$ convex variants of Stein's Weighted $L^2$ Conjecture for Bochner-Riesz means
2. Spectrality of Weighted Measures on Two Line Segments
3. Spherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformations
4. Sparse bounds and joint oscillation for bilinear rough commutators
5. On the Central Maximal Function in $\mathbb{R}^n$
6. A set of points with optimal $L^2$ spherical cap discrepancy
7. The weak-type $(1,1)$ estimates for wave equation on $ax+b$ groups
8. A minimal HRT counterexample at the sharp Gelfand--Shilov threshold
9. Derivatives of Theta Functions and a Problem of Lyubarskii and Nes
10. The critical mixed-arithmetic four-point HRT theorem
11. Complex median method
12. Besicovitch Compression and a Quantitative Failure of Endpoint Fourier Restriction
13. Phase retrieval from a uniformly discrete point set
14. A Szemer\'edi-Trotter Theorem in Arbitrary Fields
15. Geometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groups
16. A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture
17. Sharp Higher Integrability Theory, Part I: The $L^p$-norm of the Beurling--Ahlfors transform
18. Multiplicity-Weighted Moments Across a Harmonic Caustic: Closed Forms with Order-Independent Breakpoints
19. The Spectra of the Henze-Zirkler and Henze-Wagner Operators for BHEP Tests

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-23/

1. A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass point
2. Spectral synthesis with the complexity parameter in $\mathbb{Z}_N^d$
3. Dynamical Sampling in Graph Paley--Wiener Spaces
4. Matrix Continued Fractions from Bidiagonal Factorizations
5. Hypergeometric Mixed-Type Multiple Orthogonal Polynomials
6. Dunkl theory, convolution algebras, and related Markov processes
7. Voltage and current density in a rectangle with point in- and ejection via Green's functions and $q$-analysis
8. Exponential improvements in Rado's covering problem
9. The dHYM equation on crepant resolutions of Calabi-Yau cones
10. Compact sets in Banach lattices over spaces of homogeneous type
11. Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems
12. Remarks on the Geometry of Sets in $\mathbb{Z}^d$ with Small Fourier $L^1$ Norm
13. The cubic discriminant as an organizing principle for Duffing dynamics

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-22/

1. Rectifiability of the straight visible boundary and the limits of segment-based Hardy criteria
2. P-adic Curved Kakeya Sets, Projection Theorem and Covering Numbers
3. A new type of deterministic Salem sets and its spectrality
4. $P$-adic $s$-energy and Fourier dimension
5. On higher-order differential equations for Laguerre-Hahn orthogonal polynomials
6. On the Rajchman property of homogeneous self-affine measures
7. The Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifolds
8. Endpoint estimates for commutators of singular integral operators associated with admissible functions
9. Endpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-Space
10. The Zygmund conjecture and Rey's exponential integrability conjecture
11. Dimension-free estimates for discrete maximal functions over cubes in $\mathbb Z^d$
12. Establishing the Polynomial Wolff Axioms for $\delta$-Separated $\delta$-Tubes With #o-minimality
13. Uniqueness sets in weighted $\ell^2$-spaces via simultaneous approximation
14. Some Results on Lame-Heun Spectral Geometry
15. Collision Positivity for Three-Variable Symmetric Monomial Inequalities
16. On variation functions of lacunary series
17. Restricted isometry of sampled Fourier and Hadamard matrices via entropic descent
18. Sharp $L^2$-stability and gradient stability hierarchies of the $L^2$-Poincar\'e inequalities on Euclidean balls and Gaussian Poincar\'e inequality
19. Finite-data inverse nodal optimization in angular-momentum sectors of Schr\"{o}dinger operators
20. Exponential separation of self-conformal systems
21. Sharp zero estimates for trajectories of polynomial vector fields
22. A purely metric characterization of supercritical Sobolev spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-21/

1. Super-g-H\"older Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes Clock
2. Some freezing limits for Bessel functions and Bessel processes with drift of type $B_N$
3. Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $SL(2,\mathbb{R})$ Conformal Block
4. A boundedness result for degenerate parabolic Riesz transforms with rough coefficients
5. An Askey Scheme for Jacobi Systems of Mixed Type: Laguerre Limits of the First and Second Kinds and Hermite Limits
6. Kakeya and Furstenberg problems for sticky sets of tubes
7. An $m^{2.943}$ Bohnenblust--Hille Bound on the Boolean Cube
8. Complete characterization of planar $C^1$ linearizability and optimal conjugacy regularity
9. Dimension-free weak $(1,1)$ estimates for Riesz transforms with constant drift
10. Periodic Magnetic Geodesics with Every Low Energy: Existence and Localization
11. Projection Constants of Polynomial Spaces via Representation Theory
12. Lyapunov stability of polynomial vector fields is undecidable

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-18/

1. Complete Bernstein functions and scaled ultraspherical zeros
2. Rigorous analysis of giant magnetic vortex strings
3. Product-profile anti-concentration for block-structured multi-affine polynomials
4. The divergence set for the wave equation in higher dimensions
5. $L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$
6. Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spaces
7. Universal completeness of exponentials
8. Sumsets of Ahlfors--David regular sets
9. Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems
10. A constructive approach to range characterization of spherical mean transform in odd dimensions
11. Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents
12. An exponential Lojasiewicz inequality for semi-Pfaffian sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-17/

1. Connection Formulae for a Generalised Ramanujan Entire Function
2. There are no Riesz bases of exponentials in balls and triangles
3. On Kolmogorov's rearrangement problem and Garsia's conjecture
4. Curved commutators in higher dimensions
5. Multilinear Mikhlin Multipliers with Degenerate Singularities
6. Range Failure, Resolvent Growth, and Resonance in Partially Dissipative Systems
7. Endpoint eigenfunction restriction estimates in codimension two
8. Sharp Strichartz estimates on the one-dimensional torus
9. Zeros of the Spectrogram of Colored Noise
10. $p$-roughness of paths and invariance of $p$-th variation
11. A Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau Equation
12. On Two Questions by Brezis et al Concerning the Critical Difference Quotient Characterization of First-Order Sobolev Spaces
13. A Sharp Planar Fractional Isoperimetric Inequality
14. Absolute deviations of the binomial about a prescribed centre: the tail expansion in closed form

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-16/

1. Completing the Meijer--Barnes $K$-function: the excluded case $N<0$
2. Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
3. Sets with no Riesz bases of exponentials
4. Commutators with two matrix weights
5. Improved weighted bounds for the strong maximal function
6. Improved $L^p$ bounds for the helical maximal function in dimensions $n \geq 5$
7. Rational Points near Monofractal Curves and the Strong Oscillation Principle
8. Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching
9. Block-count constrained harmonic sums: spectral expansion and block-directed Euler-Maclaurin
10. Singular solutions to parabolic equations in one space dimension
11. On Sarnak--Str\"{o}mbergsson conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-15/

1. A Lower Bound on the Blob
2. Polynomial corners in finite fields beyond the distinct-degree case
3. Failure of the linear $A_2$ bound for the strong maximal operator
4. Spherical harmonics with maximal Lp norm growth
5. Non-radial Dunkl multipliers at the $L^2$-Sobolev threshold
6. On the weighted weak-type constant for the dyadic square function
7. The `1/9'-problem for the $\varphi$-functions
8. On the matrix $A_p$ conjecture
9. Erd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential Scale
10. Cahn-Hilliard equation associated with hypergraph
11. Invariant sets of the double Hilbert transform
12. The lower envelope of ultraspherical polynomials
13. Spherical maximal operators on rank one Riemannian symmetric spaces of noncompact type
14. Besicovitch's covering theorem in the parabolic metric
15. BMO-Type characterizations and endpoint estimates for commutators of intrinsic square functions on Orlicz-Hardy spaces
16. Predictable subordination, sharp martingale inequalities and applications
17. The sharp $L^p$ bound for the imaginary part of the Beurling--Ahlfors operator on the lattice
18. The two cubic separable minimal surfaces: $\mathcal D_1\mathcal D_2\mathcal D_3=1$ and $\mathcal C_1+\mathcal C_2+\mathcal C_3=3\,\mathcal C_1\mathcal C_2\mathcal C_3$
19. Polynomial Growth of Complex Polynomial Hardy--Littlewood Constants
20. The Koml\'os conjecture for complex discrepancy
21. Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions
22. Nested QMC designs on spheres

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-14/

1. Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms
2. Trace-defect bounds for discrete Fourier concentration operators
3. An Elementary Proof of the Hambly-Lyons Uniqueness Theorem
4. Weighted Endpoint Variational and Jump Inequalites for Rough Singular Integrals
5. The norm of the centered Hardy--Littlewood maximal operator
6. Bourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure bounds
7. A weighted restriction estimate in $\mathbb R^2$
8. Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
9. Some extremal problem for martingale transforms. III
10. Littlewood-Paley Theory For Orthogonal Expansions Associated With Root Systems
11. Hardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on Infinite Rooted $k$-Ary Trees
12. Sharp $L^2 \to L^4$ extension inequality for quadratic surfaces in finite fields
13. Equal-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue Constants
14. Diameter-free reverse inequalities and superorthogonality
15. Minimal central slices of the regular simplex
16. Tangent-cone cancellation and Maz'ya's $\Phi$-inequalities on finitely cornered planar domains
17. Exotic operators on the Hardy spaces of the infinite-dimensional torus

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-11/

1. Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameter
2. Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres
3. On the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $
4. Riesz capacity ratios with negative exponents
5. Shorter proof of dimension-free $L^p$ estimates for maximal Riesz transforms
6. Liouville regular Jordan curves
7. A threshold for full packing dimension of H\"{o}lder images of sets and measures
8. Gaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schr\"odinger Equation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-10/

1. Mockenhaupt's Three-Term Hardy-Littlewood Majorant Conjecture
2. Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transforms
3. Dimension-free estimates for the full discrete Euclidean ball maximal function
4. Loomis-Whitney inequalities on Reiter-Heisenberg groups
5. A proof of Askey's convexity conjecture
6. Positivity and Asymptotics for Chenevier's Orthogonal Polynomials
7. Primes with Restricted-Digit Differences
8. When Finite Free Curves Split
9. Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carath\'eodory spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-09/

1. Characterization on spectra of self-similar measures and the dual spectral set conjecture
2. Regular closed gradient ranges and asymptotic gradient values
3. A solution to the Erd\H{o}s Problem #1040
4. Terminating Zero-Balanced Hypergeometric Series Using Divided Differences
5. Exact Asymptotics of the Multidimensional Nikolskii Constant
6. Lifting curved Kakeya sets to linear Kakeya sets
7. A counterexample to the Gowers $U^k$ uncertainty conjecture for $k\ge 6$
8. Some constructions of restricted Kakeya sets
9. Admissible characterization in delay equations and robustness of exponential dichotomies against small-delay perturbations
10. Two-parameter variational estimates for averages over tori
11. Boundedness of Multilinear Hilbert Transforms Along Moment Curves
12. Pi\~neiro mixed orthogonal polynomials and bidiagonal factorization
13. Polynomial Bohnenblust--Hille Bounds for product of cyclic groups
14. A sharp covering theorem and Solyanik estimates for Euclidean balls
15. Boundary value problems for linear differential-algebraic equations: solvability via the Kronecker canonical form
16. An Askey-Type Confluence Scheme for Hahn-Like Multiple Orthogonality
17. Full-radius dimension-free maximal inequalities for discrete Euclidean balls
18. Symmetric products of Laguerre zeros
19. Intersections and Minkowski Sums of Four-Corner Cantor Dusts with the Unit Circle
20. Wavelet orthonormal bases for nonexpansive dilations
21. Estimates for $L^p$ variants of Gowers norms
22. Endpoint bounds for the Born-Jordan distribution
23. On the Two-Weight Problem for One-Sided Maximal Operators in Higher Dimensions
24. Distance Energies and Negative Type of Flat Tori
25. The equivalence of solutions to fractional and logarithmic Helmholtz equations
26. The spectrum of $(\xi\alpha^n)$ can be uncountable
27. Non-asymptotic bounds for the average singular value of a complex Gaussian matrix
28. Dimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transform
29. On the well-posedness and efficient approximation for the classical Melan equation in suspension bridges

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-07/

1. Bourgain's proof of the circular maximal theorem: an exposition
2. Primes are Complete for a Class of $N$-Bernoulli Convolutions Spectral Pair
3. On the spectrality of the non-homogeneous golden-mean self-similar measure
4. A Log-Free $n^{1/5}$ Bound for Chowla's Cosine Problem
5. The weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O(\sqrt{n} \log n)$
6. Asymptotics for the $k$-Hessian Eigenvalue on the Unit Ball

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-04/

1. Reducibility of symmetry on $q$-Painlev\'e equations
2. Certified Spherical MUSIC for 3D Localization under Adversarial Subspace Perturbations
3. A thickness boundary and modular obstructions for two-set radial projections
4. Sparse bounds for maximal rough singular integrals
5. Hausdorff--Choquet Angular Spaces and Weak-Type $(1,1)$ Bounds for Rough Maximal Operators
6. Endpoint Estimates for Stein's Purely Quadratic Carleson Operator
7. On the abstract approach to spectral constants: a proof of the Clou\^atre--Ostermann--Ransford conjecture
8. The finiteness conjecture for equilibria of electric fields generated by point charges of one sign

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-03/

1. Orthogonal polynomials which are eigenfunctions of a partial differential operator
2. A Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$
3. Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels
4. Ratio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomials
5. Estimating the number of real zeros of linear combinations of radicals of polynomials
6. The frame set of the first Hermite function
7. Positivity loss in bandlimited spectral reproduction on spheres

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-02/

1. Translational tiles without spectra in finite abelian p-groups
2. Critical points of point charge potentials along lines
3. The frameset of the second-order B-Spline along $ab=1/q$
4. Asymptotic safety regions for Gabor frames generated by Hermite functions
5. Colombo's Determinant Problem
6. Higher-order Gaussian bounds for maximally subelliptic boundary value problems
7. The Discrete $L_p$ Minkowski Problem for Negative $p$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-01/

1. Repairing the refined-decoupling proof of the 5/4 planar pinned Falconer theorem
2. Minkowski sums with convex curves without pointwise Fourier decay
3. Mesh-Degree Rigidity for Positive Chebyshev-Fourier Approximants
4. On the measure of the boundary of a Haj\l{}asz-Sobolev $(M^{1,p},M^{1,q})$-extension domain
5. A Littlewood-Type Theorem for Harmonic Functions in Euclidean Half-Spaces
6. An Ellipse Criterion for Exact Nonuniqueness in the Planar Interior Radon Problem
7. Monodromy and Isomonodromy for Linear $q$-Difference Systems with Coefficient Matrix $Ax+B$
8. Counterexamples for generalizations of the non-elliptic Schr\"{o}dinger maximal operator
9. On the Coefficients of Hurwitz-Type Matrix Polynomials
10. Square Functions and Rectifiability under Monotone Transformations of the Density
11. A Painlev\'e equation for the H\"ormander-Bernhardsson constant
12. The Erd\'elyi--Magnus--Nevai and Krasikov Conjectures for Jacobi Polynomials
13. The Koornwinder--Kostenko--Teschl Conjecture for Jacobi Polynomials and the Discrete Laguerre Phase Transition
14. Critical discrete Hardy inequalities in $L^p$
15. A Counterexample to Belinsky's Conjecture on Ces\`aro Means at Lebesgue Points
16. Sharp constants for weak estimates of Riesz Potentials when $0
17. Sub-Laplacians on Compact Lie Groups: Heat Kernels, Distance, and Zeta Determinants
18. Least Variability in a Polynomial-Square Class of Rational Kernels
19. Ergodic $\times p$-invariant measures on $\mathbb{T}^2$ with no dimension dropping projections
20. GPT, the Counterexample Machine
21. Counting integral points near a curve in the n-dimensional Euclidean space
22. Wallis-type products with polynomial exponents and the Dirichlet beta function at negative integers
23. Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schr\"odinger Operators
24. Controllability of time-varying lumped semilinear systems
25. A Full Characterization of the Dirichlet Carleson embedding $\operatorname{id}: \mathcal D_{p-1}^p \to L^p(\mu)$ for $p>2$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-31/

1. Mehler--Heine asymptotics for finite differences of mass-modified Charlier and Meixner polynomials
2. Quantitative Uniqueness and Rough Damping on $\mathbb T^2$
3. Optimal polynomial meshes beyond geometric boundary regularity via Green sublevels
4. A Sharp Capacity Gauge Solution to the Open Problem of Quasisymmetric Composition on $\mathcal{Q}_\alpha(\mathbb R^n)$
5. Notices on a new functional identity and allied series transformations
6. A unified approach via Geronimus transformation to various types of orthogonal polynomials
7. Higher Order Structure along Nilpotent Eigendirections in Planar Vector Fields
8. Lattice points in high-dimensional $\ell^q$ balls with small radii
9. Critical Gaussian Multiplicative Chaos on the Circle Is Rajchman

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-28/

1. Microstructure evolution as a game
2. Capacitary-Distance Hardy Inequality
3. Optimal fractional discrete Hardy inequalities on the half-line
4. A complex-analytic proof of square-restricted stable phase retrieval in Fock space
5. A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations
6. Arbitrarily Fast Quantum Dispersion in Long-Range Crystals

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-27/

1. A sharpened Carlson's integral inequality
2. Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions
3. Bilinear Bochner--Riesz Means on the Complex Sphere
4. Optimal differentiability of isotropic positive definite functions on even-dimensional spheres
5. Weighted Estimation by Discrete-time Sparse Domination on Martingale Spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-26/

1. A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation
2. Directional maximal operators in the plane
3. Borell--Brascamp--Lieb inequality with finitely many output functions
4. Functions with comparable integrals on all k-planes
5. Optimal Hardy Inequalities for Random Walks on $\mathbb{Z}^2$
6. On AAA approximants on an interval to Nevanlinna-Pick functions and P\'olya Frequency Series
7. Evolution families and variation of constants formula for abstract functional differential equations with time-dependent infinite delay
8. Sparse domination implies convex body domination
9. Polynomial Ergodic Averages Along Short Intervals
10. Common tiling functions with small support
11. Stieltjes polynomial interpolation
12. BMO Classification for Two-Dimensional Dunkl Newton and Green Kernels
13. Critical fractional Hardy inequalities
14. Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlev\'e equations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-25/

1. Positive measure for restricted projections along smooth non-degenerate curves
2. Endpoint orthonormal Strichartz estimates
3. Gaussian beam Radon transform for tensor fields in $\mathbb{R}^2$
4. $L^p$-Estimates for maximal averages along mixed homogeneous hypersurfaces in $\mathbb{R}^{3}$
5. Isotropic Positive Definite Functions on Spheres: Even-Dimensional Gneiting's Problem
6. The H\"ormander--Bernhardsson function in higher dimensions
7. Rotating needles in space: the road to the Kakeya conjecture, and why it matters
8. A criterion on weak type $(1,1)$ bound of rough singular integrals
9. Local Scaling and Dimension Distortion of Generalized Cantor Functions
10. Distance preservers for Lobachevsky space
11. The Nikolskii Constant in Arbitrary Dimension
12. Critical two-depth Journ\'e packing for bi-parameter and Zygmund rectangles
13. Rubio de Francia's Extrapolation Theorem and Sparse Bounds
14. The Hamburger Criterion for Matrix Nevanlinna--Pick Interpolation
15. The dyadic denominator law for the phase constants of the Jacobi zeros
16. Big Pieces of Regular Parabolic (bi-)Lipschitz Images is Equivalent to Parabolic Uniform Rectifiability
17. Eigenvalue asymptotics and uniform eigenfunction bounds for the fractional Laplacian in the interval
18. Rational Points and Brownian Motion
19. Finite-term recurrences in a generalized Bochner--Krall family
20. Componentwise Geometry and Monodromy of Generalized Lam\'e Equations
21. On ideal lemniscates, butterflies, and circular waves
22. The parabolic Dini-$\beta$ condition and absolute continuity of surface and caloric measure
23. Quasiconvexity of the Burkholder function on symmetric matrices
24. Quantitative Logarithmic Chowla Correlations Uniformly over Growing Shifts

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-24/

1. Strong asymptotics for Jacobi-Pi\~neiro orthogonal polynomials
2. Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights
3. Anisotropic Bourgain--Brezis inequalities
4. On the $p$-variation of Riemann's ''nondifferentiable'' function
5. Space-filling surfaces: sharp H\"older continuous parameterizations from squares to cubes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-21/

1. Product formulas for multivariate and matrix-variate confluent hypergeometric functions
2. Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators
3. Boundary-Weighted Fourier Inequalities for Convex Domains
4. Generalized inverses of strictly monotone transformations
5. Uniform weak type $(1,1)$ bounds for Riesz transforms on stratified Lie groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-20/

1. $\Gamma$-Convergence of Weak-Type Nonlocal Functionals on Bounded Domains
2. Buffered Shading-Compatible Multiplicity Factoring in Four Dimensions
3. Cellular Maximal-Density Factoring and a Repair of the Streamlined Three-Dimensional Kakeya Reduction
4. Complexity-sensitive additive energy and off-diagonal Young inequalities on bounded-degree algebraic varieties
5. Norm bounds on Fourier series with polynomial spectra and constrained coefficients
6. The Unfair 0-1 Polynomial Problem and High-Degree Trinomials
7. Mean Value Estimates for a Real-Exponent Analogue of Waring's Problem
8. Semi-Discrete Linear Hyperbolic Curvature flow
9. Gaudin models for some classical multivariate distributions
10. From Erdos Problem 1154 to a Zero One Law for Turing Ideals
11. Second-Level Concavity of the Riemann $\Xi$ Kernel

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-19/

1. Sufficient Conditions for Strong Natural Boundaries involving Lacunary Sequences
2. High-dimensional discrete 1-symmetric convex bodies and dimension-free estimates for maximal functions
3. A four-way Szeg\H{o} theorem for $L^p$ extremal polynomials on subsets of $\mathbb R$
4. Properties and applications of Lorentz--Muckenhoupt classes
5. Mixed-norm Brasamp-Lieb inequalities
6. A dimension-free weak-type $(1,1)$ bound for the vector Riesz transform on $\mathbb{R}^n$
7. Almost sure pointwise convergence for the 2D periodic quintic NLS
8. Romanovski polynomials, Gegenbauer connections, and $\mathrm{su}(1,1)$ ladder structures
9. Alternating generalizations of Mizuno's product formula via modified gamma functions
10. Sharp Quasi-Reverse Minkowski Inequality for Schatten Norms
11. Failure of almost monotonicity of harmonic measure density ratios at points of vanishing codimension-one density

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-18/

1. Wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0 < p \le 1$, with exact $L^2$ convergence, and the maximal class of admissible functions for Goldberg-type splittings
2. Arithmetic-progression gap sets in Cantor sets
3. Fractal Uncertainty and Quantitative Uniqueness for the Fourier Bessel Transform
4. Whittaker functions with one or both parameters large: simplified uniform asymptotic expansions involving Bessel and Airy functions
5. Generalization for Poincar\'e--Sobolev inequalities with local weights
6. Tur\'an problem on the union of three intervals of equal length
7. New Fej\'er-type Inequalities Related to Hermite-Hadamard-type Inequalities and Their Applications
8. The Nikolskii constant in odd dimensions
9. A finite-order characterization of entrywise positivity preservers
10. Sharp weighted estimates for the Bessel Riesz transform and its commutator with Andersen--Kerman weights
11. Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $\mathcal A_\infty$ Weights
12. Complete asymptotic expansion for a Durrmeyer variant of operators based on Hermite polynomials
13. On the relations between several notions of symmetry for the second order linear differential equation
14. A Green Function Approach to Smooth Nonautonomous Topological Equivalence with Unbounded Nonlinearities under $(\mu,\nu)$--Dichotomies
15. Positive quasimodular forms and the sign uncertainty principle
16. A nonabelian Brunn-Minkowski inequality II
17. The nonlinear Hausdorff-Young inequality
18. Lipschitz surjections between self-similar sets
19. Commutator estimates for functions of noncommuting self-adjoint operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-17/

1. Transversal H\"older Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic Mappings
2. Cesaro Means along Polynomial Subsequences of Fourier Partial Sums at Lebesgue Points
3. Sharp refined-direction Kakeya estimates in finite Heisenberg groups
4. Extremal functions and zero sets for the Dirichlet space
5. Woven weighted exponentials
6. A characterization of uniqueness of purely atomic finite measures with central Cantor set range
7. Near diagonal additive energy bound for points on algebraic surfaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-14/

1. Lommel polynomials and explicitly solvable prediction problems on the unit circle
2. Conformal Dimension of Measures and Quasisymmetric Dimension Reduction
3. Parabolic BMO, Parabolic Muckenhoupt Classes, and Parabolic Reverse H\"older Classes with Time Lag
4. Mixed Weak type inequalities for pairs of weights related to the Hardy-Littlewood maximal funcion, Calder\'on-Zygmund operators and their commutators
5. Chebyshev polynomials on a Jordan arc
6. Fourier-invariant functions with dense zero sets
7. A conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measure
8. The Hayman--Wu constant is $\pi^2$
9. Relative Periodic Orbits in the Gutzwiller-type Anisotropic Kepler Problem and $n$-body Problem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-13/

1. Kakeya sets and dimension compression in compact Lie groups
2. On Constrained Riesz Minimum Energy Problems
3. On the optimal constant in the Montgomery-Vaughan weighted Hilbert inequality
4. Near optimal three-fold additive energy bound for points on convex curves
5. The 196560 auxiliary-function conjecture for the Leech lattice
6. Isospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphere
7. The Corona Problem for Slice Holomorphic Functions via the Matrix Corona Problem
8. Grothendieck's theorem for Bessel sequences

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-12/

1. Almost everywhere convergence of subsequences of Walsh-N\"orlund means
2. Classification of Fourier summation formulas on a horizontal strip
3. Applications of Nonlinear Projections to Rectifiable 1-sets
4. Finite Good Witnesses for Generalized Curve Projections at the Rectifiable Endpoint
5. Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator
6. Sharp constants in the one-sided John-Nirenberg inequality for functions of bounded lower oscillation
7. Matrix Szeg\H{o} Function and Matrix Orthogonal Polynomials for Multiple Cuts
8. A double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sums
9. On the Assouad dimension of Weierstrass function graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-11/

1. An intrinsically subcritical four-point counterexample
2. Random Bernoulli measures in a random environment
3. A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set
4. Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures
5. A Riemann-Hilbert representation for Sobolev orthogonal polynomials
6. Generalized Freud weight, discrete Painlev\'{e} I hierarchy and full asymptotics of Hankel determinants
7. Sharp $L^2$ Estimates for $(2+1)$-dimensional oscillatory integral operators with homogeneous binomial phases
8. Structure of Minimal Locally Concave Functions
9. Sharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical Averages
10. A new example of crystalline-type measure with unit masses and an application to tiling of the real line by translates of a function
11. Fourier restriction to hyperbolic rectangles and an application
12. Widom factors for Chebyshev and residual polynomials on semi-regular subsets of $\mathbb{R}$
13. Analytic continuation of local zeta functions to a slit complex plane: the one-dimensional case
14. The sharp reverse Hardy inequality in BMO for nonincreasing functions
15. The Minimum Cardinality of a Dependent Finite Gabor System Is Four
16. Lipschitz spaces adapted to Schr\"{o}dinger operators on the Heisenberg group
17. Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator
18. Sharp Bounds for Rational Points Near Space Curves
19. On the weighted hard-core model and Rado's covering problem for congruent Euclidean balls

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-10/

1. Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces
2. Nineteen vectors and a certificate of their phase-retrieval injectivity in $\mathbb{C}^6$
3. Maximal estimates for perturbations of the Schr\"odinger operator on $\mathbb{T}^d$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-07/

1. Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights
2. Degree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomials
3. Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases
4. On number of cyclic $n$-roots and disjointness of Fourier supports
5. Effective Lagrangian regularity and the uniqueness threshold for random H\"older velocity fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-06/

1. Bernstein-type bases on $q$-quadratic lattices and Askey--Wilson\slash $q$-Racah connection coefficients
2. Preservation of Positive-Definiteness by Bernstein Operators on the Circle
3. Two absolutely bounded determinantal ratios
4. A Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding Conjecture
5. Gabor Frames of Totally Positive Functions: A Complete Characterization
6. Linear dependence of time-frequency shifts of a Schwartz function

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-05/

1. Laplace Asymptotics near Stratified Minimum Sets
2. Algebraic defect and positive mother body measures
3. On the endpoint estimate for discrete spherical average over sparse sequences
4. Optimized bounds for the product and the ratios of modified Bessel functions
5. Mechanical Implications of the Teleportation of Rigid Extended Bodies from the Perspective of Classical Mechanics and Mathematics
6. A solution to Crouzeix's conjecture
7. Strichartz estimates for quasi-periodic functions on long time intervals: An arithmetic approach
8. A Tau function for $q$-Painlev\'e VI as a Fredholm determinant

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-04/

1. Minimizers of one-dimensional regularization problems with linear and nonlinear total variation
2. On an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl
3. Bessel-Like Multiple Orthogonal Polynomials of Mixed Type
4. Positive Bidiagonal Factorizations for Banded Markov Processes
5. Evaluation of terminating and non-terminating sums containing the digamma function
6. Dual boundedness of the maximal operator on concave Banach function spaces
7. Sharp weighted norm estimates for the positive Bergman operator: the two-parameter case
8. A proof of the Szeg\H{o} conjecture on Jacobi extrema
9. Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity
10. Poincar\'e inequalities on hyperbolic-type spaces
11. Convex order, log-convexity and moments of averages of random variables
12. The Hardy averaging operator between Orlicz spaces and a new gauge functional characterizing a given Orlicz space
13. Distribution of simplices in the discrete and continuous settings
14. Nondegeneracy and regularity of polynomial pushforwards
15. On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
16. Pointwise endpoint limits for nonlocal operators
17. A Bismut-Elworthy-Li formula for linear stochastic evolution equations in Banach spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-03/

1. From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem
2. Favard length and generalized projections
3. Nonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approach
4. Perturbed Dyadic Cubes and Quantitative Estimates for Schr\"odinger Operators with Potentials in $RH^{n/2}$
5. Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-31/

1. Airy Turning-Point Asymptotics for Ramanujan's Entire Function $A_q(z)$
2. Curved Kakeya problems and the projective geometry of paths
3. Almost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrum
4. Limit theorems for differential systems with multipoint boundary conditions in Sobolev spaces
5. Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains
6. Embedding $C(K)$ for countable $K$ into $C([0,1])$ as Besicovitch functions
7. Approximation by Kantorovich-type operators in general Banach spaces
8. New universality classes associated to fractals
9. Eventually greedy best Egyptian underapproximations of rational numbers via optimal control

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-30/

1. Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation
2. Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis
3. A Mixed-Resonance Counterexample to the Lukic Conjecture
4. Holder regularity of Hartman-Grobman theorem on vector bundle
5. Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds
6. Dynamical phase retrieval for Schr{\"o}dinger evolution on finite graphs
7. On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group
8. Weak geometric lemma for ADR boundary of a uniform domain implies uniform rectifiability
9. The HRT Conjecture for Symmetric Configurations and Real-Valued Functions
10. Geometry of strong forces in continuum mechanics

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-29/

1. A Lusin theorem for nonlocal gradients
2. The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions
3. The Winding Number at the Critical H\"older Exponent 1/3: Failure of Universal Fourier Summation
4. Multi-Parameter Exponential Sums with Product Hilbert Kernels
5. An antichain approach to a conjecture of Zygmund
6. Mimicking diffusion processes with differential equations
7. Jacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifolds
8. P\'olya's Conjecture for the Neumann Laplacian on Euclidean Balls

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-28/

1. Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra
2. $L^p$-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures on the Sierpinski Gasket
3. Weak-$A_\infty$ packing and estimates for fractional sparse forms on spaces of homogeneous type
4. Spectrality of Moran-Type Measures Generated by Two-Element and Three-Element Digit Sets
5. A Fixed-Point Construction of the Elementary Transcendental Functions
6. Nonexistence of universal Fourier summation formulas for the degree below the H\"older threshold $\alpha=1/3$
7. Weak porosity in spaces of homogeneous type
8. Fuglede's conjecture holds for three intervals
9. Continuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbers
10. Optimal bounds for the ratio of differences of quadratic, arithmetic, and harmonic means
11. Asymptotic areas between powers of sine and cosine curves
12. Jittered sampling and probability measures
13. Isoperimetric-Combinatorial Bounds for Range-Controlled Matchings and Quasi-Interpolation from Scattered Data
14. An independent proof of the plunge-region conjecture for time-frequency localization operators in dimension one
15. Linear relations modulo meager sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-27/

1. Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approach
2. Bourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real Line
3. Dual spaces and T1 theorem of variable Dunkl--Hardy spaces
4. Variable Hardy spaces in the Dunkl Setting
5. Equality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functions
6. Characterization of the boundedness of the segment multiplier on rearrangement-invariant spaces
7. The fractional Kontorovich-Lebedev transform
8. Fourier decay and non-decay for pseudo-affine self-conformal measures
9. Gelfand-type problem for turbulent jets: sharp $L^\infty$ bound on extremal solutions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-24/

1. A characterization of compact open spectral sets in $\mathbb{Q}_p^d$
2. Endpoint estimates for multiparameter multipliers of Marcinkiewicz type
3. Extremal Functions and Widom Factors on Compact Riemann Surfaces
4. The Frankl--Tokushige product conjectures for $r$-cross-intersecting families
5. Eigenfunctions, free boundaries, and time-frequency localization

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-23/

1. Dimension drop for intersections of Cantor sets
2. Rough averages of triangular Hilbert transforms
3. A solution to Meneguette's polynomial problem
4. Pinned nonempty interior and volumes of simplices
5. The missing two-point inequality in Weissler's conjecture
6. Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-22/

1. Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution
2. Minkowski dimension and content of complex continued fractions
3. Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type
4. Optimal concentration in the Paley-Wiener space
5. Chaos in the Order of Finite Bernoulli Convolutions
6. Metric entropy of the space of holomorphic functions
7. Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-21/

1. Interactions between quantitative rectifiability, singular integrals, and boundary value problems for harmonic functions
2. Properties of two Chebyshev-like polynomial sequences
3. Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses
4. Endpoint Criteria for One-Dimensional Bilinear Rough Singular Integrals
5. On monodromy and spectral geometry of generalized Lam\'e equations with four singularities, I: half periods
6. Discrete analogues in harmonic analysis: Multi-parameter Radon averages
7. On off-diagonal operators in matrix-weighted spaces
8. Ideal G{\aa}rding polynomials
9. On Erdos-Falconer distance problem in even dimensions
10. Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations
11. Hardy spaces of discrete holomorphic functions on the upper half-lattice
12. Structural Properties of the K\"othe Dual of the Matricial Bloch Space
13. Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-20/

1. Theory and Computation of Discrete Sturm--Liouville Problems on Non-Uniform Grids via the Pr\"ufer Transformation
2. On the parabolic $H^p$ theory generated by $(p,\infty)$-atoms for $0
3. H\"older functions with nonporous graphs
4. Locatedness, Convexity, and Integrability in $\mathbb{R}^N$
5. Orthonormal Sobolev estimates with fractal measures
6. Fourier inequalities in variable Lebesgue spaces
7. Sharp L^4 restriction estimates for surfaces of codimension two in R^5
8. Sharp decay estimates for $(2+1)$-dimensional oscillatory integral operators via Newton height
9. Both directions of Fuglede's conjecture fail in dimension two
10. Smooth projections of self-similar measures
11. Canonical Mandelbrot Cascades on Curves Are Rajchman
12. Quantum Mechanics on Lie Groups: II. Path Integrals
13. Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-17/

1. Towards a characterization of idempotent Schur multipliers
2. Projections of self-affine sets onto lines
3. A construction of Kakeya Sets in Arbitrary Dimension
4. Approximation of solutions of the sinh-Gordon equation $\Delta u -\sinh(2u)=0$ by hyperbolic orthogonal ring patterns
5. Automorphic Nelson Dilations for Contractions and Invariant Subspace Tracking
6. On the entropy of the log-normal distribution
7. Global quadratic estimates for degenerate elliptic operators on cylinders

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-16/

1. Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloid
2. The exact $L_1$-norm supremum of Walsh--Kaczmarz--Fej\'er kernels
3. Quantitative Fourier Restriction Estimates for Weyl Operators: Fourier-Support Dependence and Lower Bounds
4. Dynamic Universal Approximation via Signature Controlled Differential Equations
5. Inscribed squares of level sets of functions on the sphere

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-15/

1. On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomials
2. Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums
3. Curious identities involving Legendre polynomials and Ap\'ery-like numbers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-14/

1. Riccati type recursions for some infinite series involving zeros of Bessel functions of the first kind
2. Determinacy Witnesses in the Completely Monotone--Stieltjes--Bernstein Hierarchy
3. From weighted paraboloid restriction to $k$-stars and distance graphs
4. Sharp higher order regularity of discrete maximal functions
5. Dilation-balanced product Pitt inequalities for mixed-tail potentials
6. On a Class of Hypergeometric Sums via Recurrences and Product Binomial-Harmonic Identities
7. Optimal Extrapolation Bounds for Sparse Fourier Sums
8. Hardy-Rogers and Jungck Type Fixed Point Theorems in Perturbed Metric Spaces, Stability and Data Dependence
9. The isomorphic section-projection problem for convex bodies
10. Lattice point counting in Cygan--Kor\'anyi balls on Heisenberg groups
11. Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds
12. Sharp Broken-Power Lorentz Estimates for Fractional Powers of Radial Schr\"odinger Operators with Inverse-Square Asymptotics
13. Fractal uncertainty principle over $\mathbb{Q}_p$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-13/

1. Integrability of a composition of functions
2. Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses
3. Quartic Fourier-Laplace limits for $(p,q)$-Rogers-Szeg\H{o} polynomials
4. Sharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Operators with Inverse-Square Potentials
5. Approximation by quasi-projection operators and dual wavelet frames in Sobolev spaces
6. Log-convexity and log-concavity of noncentral gamma sums and differences
7. Weak-type estimates for the Bergman projection on planar domains

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-10/

1. A set of points on the sphere with small Riesz energy
2. On $(p,q)$-binomial coefficient ratios for complex parameters
3. Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators
4. Two-ends Furstenberg inequality for transversal families and applications to Fourier decay
5. A functional inequality related to Domar's uniform boundedness theorem
6. The logistic-normal integral and the moments of the logistic-normal distribution
7. Elliptic curves, Fourier ratio, and sampling complexity
8. Controllability and Exponential Mixing in Singular Interacting Particle Systems
9. Point-dimension theory (part II): The point-cross dimension

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-09/

1. A note on the first variation of the total mass
2. Paul levy's Isoperimetric Problems on cyclic polygons
3. There is no degree independent Bombieri type inequality for non-homogeneous polynomials
4. Stable Phase Retrieval for Spans of Independent Random Variables

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-08/

1. Riccati Reductions for Modified Bessel Ratios: Bernstein Positivity, Exact Certificates, and Transfer Obstructions
2. A Variation Norm Carleson Theorem Along the Primes
3. High-dimensional limits and extremizers for maximal functions associated with log-concave densities
4. On a measure-theoretic reading of $\beta$-Gr\"uss type inequalities
5. Separation Capacity of Scattering Networks on Low-Dimensional Datasets
6. Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-07/

1. A Bernstein--Ganzburg limit theorem for best weighted approximation
2. Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms
3. Trace bounds for limiting operators on rough domains
4. A variation on the P\'{o}lya-Seg\H{o} principle in one dimension
5. Weighted $H^p-L^q$ boundedness of integral operators with rough kernels
6. Non-universality of sumsets of lacunary sequences and arbitrary sets
7. Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities
8. On the Arc Length of a Supercircle and a Hypergeometric Formulation of $\pi$
9. A Roth theorem in $\mathbb R^2$ and a related ergodic theorem
10. $\mathrm{L}^p$ bounds for parabolic Riesz transforms with rough coefficients: The case $1

11. Besicovitch's example in higher dimensions: a purely unrectifiable set with large lower density
12. Van Vleck spectra of high-order Heun operators:\ finite-band universality and exterior asymptotics
13. Preimage Regions of Symmetric Separable Maps on the Simplex: Convexity and Barycentric Star-Shapedness
14. Sobolev--Morrey Spaces and Divergence-Form Degenerate Second-Order Elliptic Equations on Domains with Higher Co-Dimensional Boundaries
15. Ramanujan-type identities for alternating Hurwitz zeta functions
16. H\"older maps under Pfaffian constraints
17. Bernstein Functions at Work: Coalescents, Copulas, and Subordination

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-03/

1. Spectrality of factors of product spectral measures
2. Summability of formal solutions of some singular perturbations problems in differential and moment differential equations
3. Improved polynomial estimate for the Lebesgue constants of Leja sequences on finite unions of intervals
4. Weighted Extensions of Stein's Theorem for Linear and Multilinear Operators
5. Tiles and weak tiles in $\mathbb{Z}_{pq}$
6. Uniform bounds on the Dunkl kernel
7. Bochner-Riesz means on the Heisenberg group
8. Eliminating positive-measure level sets by small Lipschitz perturbations
9. A Probabilistic Sign Rule for Quotients of Positive Series and Integral Transforms
10. On perturbations that preserve the connectivity properties in tree percolations
11. Sharp Lower Bounds for Sumsets in Hypercubes
12. Flux solutions for stochastic chemical systems with sources and sinks

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-02/

1. An order-interpolation inequality for Bessel functions
2. On volume vectors determined by hypergraphs in thin subsets of Euclidean space
3. The $2j-k$ and $j-2k$ Bi-orthogonal Polynomials on the Unit Circle: Further Properties and Riemann-Hilbert Characterizations
4. On the Peres--Schlag orthogonal projection problem and Kakeya-type sets
5. A Recurrence Based Summation Method for Ultra-Rapid Divergent Series and Renormalon Type Expansions
6. Bounds for the maximal and Riesz potential operators with variable fractionality
7. One-sided median porous sets and one-sided Muckenhoupt distance functions
8. Peres--Schlag's nonempty-interior problem and a shifted-product variant for product sets
9. Function-Counting Theory for Low-Dimensional Data Structures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-01/

1. Equivalence of the minimality conditions for the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
2. Order-Moment Transport and Hankel Determinants in Special-Function Inequalities
3. Conjectures of Bernstein and Erd\H os for weighted Lagrange interpolation on the halfline with exponential weights
4. A Beckmann boundary form of Talagrand's conjecture on the discrete cube
5. Sobolev spaces on snowtrees
6. Fractional integral and fractional maximal operators on generalized Fofana spaces
7. On the spherical Blaschke-Lebesgue problem
8. Periodic Non-uniqueness Sets for Shift-invariant Spaces and Parity-Based Obstructions to the Frame Property for Gabor Systems
9. Quantum Stokes matrices and quantum Riemann-Hilbert-Birkhoff maps

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-30/

1. Kernel approximation beyond the native space -- with applications to approximation on manifolds
2. Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds
3. Estimate of the Rate of Convergence of Fourier Sums for Functions from Lebesgue Classes on a Set of Full Measure
4. Planar sets with large visible parts
5. Rectangles, triangles and Schr\"{o}dinger waves
6. Fourier decay and $L^p$ Sobolev smoothing for weighted hypersurface measures in ${\mathbb R}^3$
7. Equilibria in Motion: Stability, Tracking, and Convergence
8. Transition asymptotics for the real solutions of the sinh-Gordon Painlev\'e III equation
9. On a conjecture on $k$-antichains in the unit $n$-cube
10. On the Marstrand projection theorem for the Assouad spectrum
11. Modern Theory of Gradient-Based Optimization
12. The Concept of Wiener Amalgam Spaces
13. Definable Eventual Equalizers
14. A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields
15. Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya
16. Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-29/

1. Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials
2. On the Bourgain--Brezis--Mironescu spaces over Carleson tents
3. Which Saddles Contribute? The South-East Rule for Multidimensional Integrals

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-26/

1. Askey-Wilson continued fraction at $q^N=1$
2. A $Tb$ type theorem for suppressed kernels
3. A Finitely Generated Module Representation of the Bickley-Naylor Functions
4. An analytic approach to the ubiquity of geometric Brascamp-Lieb data
5. The longest and shortest roots of a real cubic
6. Chromatic expansion with Bessel operator of fractional order
7. Evolving edge weights via local entropy flow and cohesion flow on graphs
8. Bilinear rough singular integrals under a fractional geometric condition
9. On the parabolic Hausdorff dimension of orthogonal projections
10. On the resonant Carleson-Radon transform in all dimensions. The degree one resonant case
11. Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters
12. Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture
13. Discrete Space-Time Wave Kernels and Trace Identities on Regular Graphs
14. Discrete Space-Time Wave Kernels on Regular Trees
15. Recovering Governing Equations from Solution Data: Identifiability Bounds for Linear and Nonlinear ODEs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-25/

1. The Maximum Codimension of a Salem Submanifold
2. A Riemann-Hilbert approach to the computation of transform pairs
3. Dragon curves in Littlewood roots
4. An inequality for Jacobi polynomials: a complement to Finite Increment Theorem
5. A novel 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlev\'e II symmetry reduction
6. Riesz 2-energy of the Diamond ensemble

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-24/

1. Weighted Hardy Inequalities for Nested Averages
2. Sufficient conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations
3. Metric entropy of Fourier ratio classes on ${\mathbb Z}_N$
4. The Usual Square Function on Weakly Flat Sets
5. When Entropy flows: drifting along the route to Chaos
6. On the Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions
7. An integral formula for the inhomogeneous Jordan--von Neumann equation
8. A Disk-Growth Remez Principle and a Modular Proof of the Measurable Tur\'an-Nazarov Inequality
9. Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-23/

1. Necessary conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations
2. A Critical-Scale Extension of Zhizhiashvili's Theorem for Rectangular Fourier Series
3. Minimality of the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
4. On the boundedness for the bilinear quadratic functional given by arbitrary strips
5. On Block Spaces on the Unit Sphere
6. Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives
7. Smooth Solutions to Systems of Linear Inequalities on $\mathbb{R}$
8. A bilinear approach to the finite field restriction problem, II
9. Anisotropic 2D FUP and quantum open baker's map
10. On the Structure and Stability of Boundary Mixed Steady States in Evolutionary Games on Networks
11. Advancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wetting
12. On It\^o-Stratonovich formula for rough sheets
13. Locality of rough path lifts
14. Prescribed--Energy Connecting Orbits for Quasilinear Conservative Systems
15. On the cyclicity of the period annulus of quasi-homogeneous polynomial vector fields
16. Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces
17. Computing Gaussian and exponential integrals in ${\Bbb R}^n$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-19/

1. Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the discrete Riesz Transforms
2. The Littlewood-Paley formula and mean counting function for vertical limits of Dirichlet series
3. On $H=W$ in Banach function spaces
4. Comparison Theorems for the Profile Curve Equation of Rotationally Symmetric Self-Shrinkers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-18/

1. Classification of the hypergeometric orthogonal polynomials via their recurrence coefficients
2. General duality relations for hypergeometric and basic hypergeometric series
3. On weighted estimates for fractional operators and applications to Hardy-type inequalities
4. Two weight estimates for difference quotients

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-17/

1. Unbounded nonconvex Young differential inclusions: existence of a measurable selection of solutions
2. Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schr\"{o}dinger operators
3. Spectral interpretation of Riemann zeta zeros
4. Weak and strong $q$-analogs of the Laguerre--P\'olya class
5. The Hall problem in domains
6. Uniqueness sets for functions of Dirichlet-type with restricted Taylor coefficients

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-16/

1. Multiplicative and Additive Finite Free Convolutions for q-Polynomials
2. Rational approximation to the Hurwitz-Lerch zeta function
3. The Opdam-Cherednik kernel is the Laplace transform of a positive measure
4. A universal support theorem for 1-Wasserstein optimal transport
5. From Fractional to Set Tilings for Pairs of Lattices
6. The Lagrange Inversion Theorem with Limited Smoothness
7. On the validity of Tonelli's Theorem
8. A Note on an Approximate Fixed Point Theorem for $\operatorname{VMO}$ Maps
9. A remark on Kolmogorov's theorem
10. Purely unrectifiable sets, fractal percolation and graphs of functions
11. Decoupling and Discrete Strichartz Estimates for Dispersive Equations on the Torus
12. On the relationship between block spaces and Orlicz spaces
13. Restriction estimates for surfaces with negative curvature in $\mathbb R^3$
14. Loewner chains with multiple boundary attraction points: A construction via close-to-convex functions
15. Maximal Ergodic Theorems for Operators with Finite Peripheral Spectrum
16. On the Bloch--Carleson measure problems
17. A Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-15/

1. Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums
2. A remark on Chebyshev rational functions, multipoint Pad\'e approximants and Noise
3. $l^{p}-L^{q}$ boundedness of sequence-to-function Hardy-Littlewood-P\'{o}lya-type operators
4. Local convergence of Sussmann's infinite product for analytic vector fields
5. An explicit formula for Koornwinder moments and Rains' positivity conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-12/

1. Remarks on the Ionescu-Wainger multiplier theorem
2. An Oskolkov--Zhizhiashvili Criterion for Rectangular Fourier Sums
3. The (local) geometry of oscillatory integrals on manifolds: Dimension three
4. On Almgren's Multiple-valued Functions of Class 1
5. Quantitative flatness and obstructions in Fourier analysis
6. Pathwise integration beyond Young via Faber--Schauder energy spaces
7. Dimension-free Markov--Bernstein inequalities for product measures
8. Limitations of Learning Tanh Neural Networks with Finite Precision
9. Analytic approaches to perturbations of strongly coupled Yang-Mills plasma

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-11/

1. The general Brannan coefficient conjecture II: Meijer-function approximations
2. Sharpness characterizes Hill functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-10/

1. A Resurgent Analytic Framework for Indicial Umbral Calculus via Mellin-Barnes and Borel-Laplace Theories
2. Clock spacing for two-sided Jacobi matrices
3. Two Integral Sliding-Window Inequalities for Maximal Convolutions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-09/

1. Functions of Bounded Variation and Point Processes
2. From generalized Poincar\'e to Poincar\'e-Sobolev inequalities via self-improving methods
3. Weighted Hardy Inequality in $l_2$
4. On the Constant and Extremal Function for Weighted Hardy Inequality in $L_p$
5. The Distance for Functions in BMO to BLO
6. Non-unique solutions to the periodic gKdV equation
7. Explicit bounds for Dickman's function
8. Effective quasianalytic Remez inequalities on tame sets
9. On chain rule and renormalization
10. Restriction estimates for toral eigenfunctions and lattice points in spherical regions
11. Algebraic Hodge generic points are dense
12. A non-testing characterization of bounded and compact composition operators on $\mathcal Q_p$ spaces
13. Quantization of measures in Carnot groups
14. The $L^p$ Neumann problem for parabolic operators with coefficients satisfying small Carleson condition
15. Fourier transform of nonlinear images of self-similar measures: qualitative aspects
16. Pathological function spaces and an unsolved Analysis I problem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-08/

1. Quasi-Orthogonal Polynomials and Exceptional Sequences
2. Convergence of sparse square-summable NLFT
3. The Sidon Decomposition Problem in Abelian Groups of Bounded Torsion
4. Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study
5. Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas
6. Discrete analogues in harmonic analysis: $TT^*$ methods
7. Dynamics and structure of pull-in and touchdown behavior in parallel-plate electrostatic MEMS actuators via geometric approaches
8. Visible parts and lower bounds on point-ray incidences
9. Multi-scale properties of continued fraction sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-05/

1. A simple proof that the Riesz projection is bounded on $L^p(\mathbb{T})$ for $1
2. On the Macdonald-type function and its relation with index transforms and orthogonal polynomials
3. The Sharp Sadov Constant and Local Spectral Stability for Shapiro--Diananda Cyclic Sums
4. On the revolving structure of the L\'evy dragon and its linear transforms
5. The Ize Conjecture Redux: A Parity Criterion for Global Equivariant Bifurcation Guarantees
6. Algebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulation
7. Large data scattering for the defocusing $k$-dispersion generalized Benjamin-Ono equation in the energy space

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-04/

1. Almost everywhere divergence of double Fourier series along shrinking conical regions
2. From local to global asymptotic behaviour of orthogonal polynomials
3. Median porosity is quasiconformally invariant
4. Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
5. Uniqueness results for quasi-analytic functions on compact Lie groups and homogeneous spaces
6. Quantitative uniqueness properties for functions on compact quasi-analytic manifolds
7. Gaussian decay for the Harmonic oscillator

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-03/

1. Sharp Log-Sobolev Inequalities for Finite Cyclic Groups with Word-Length
2. Maximal inequalities for derivatives of spherical means
3. Optimal constants of smoothing estimates for quantum harmonic oscillators
4. Multiple Orthogonal Polynomials on the Ball and Radial Extensions
5. On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications
6. Weighted variational inequalities for the fractional Dunkl heat semigroup
7. Cylindrical generalized Ricci solitons in three dimensions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-02/

1. High-level convexity for products of squared Euclidean distance functions
2. A Quantified Two-projection Theorem for Nonlinear Projections
3. Chamber lifting and non-radial Dunkl multipliers
4. Constructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz Inequalities
5. Multilinear extrapolation of compactness on mixed-norm spaces
6. Sharp sign uncertainty for trigonometric polynomials
7. Mehler formula for Wronskians of Hermite polynomials
8. Further evidence towards the Fourier Entropy-Influence conjecture
9. Empirical Approximation of $L_p$ Norms
10. On a Local Radial Rigidity Phenomenon of Elliptic Systems on Riemannian Manifolds
11. Frames of orbits of multiplication operators on Hardy spaces
12. $q$-Selberg extensions of Gasper's two stage $q$-beta integrals

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-01/

1. Two-weight inequalities for the Dunkl--Poisson integrals
2. A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $\mathbb{Z}_{n}$ for $n\geq 4$
3. P\'olya--Schur problems and free probability

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-29/

1. Restriction problems on the three-dimensional Heisenberg nilmanifold
2. The manufacture of examples: the $(-1)$-classical orthogonal polynomials
3. Where not to find the spectrum of the partial theta function
4. Complex spectrum of the partial theta function
5. On hyperbolic corners and unit-area triangles in planar sets of large measure
6. The sharp log Sobolev inequality on finite cycles
7. Asymptotics of the Number of Components of Random Polynomial Lemniscates
8. Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces
9. On the WALA conjecture, Alberti representations and applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-28/

1. Half-Step-Invariant Sets, Admissible Maps, and Classical Orthogonal Polynomials
2. Positive Measure of Unions of Variable Surfaces
3. Simultaneous approximation properties of a certain genuine hybrid type operator
4. Improvement of a Hardy-Littlewood inequality and applications to the boundedness of analytic paraproducts on mixed norm spaces
5. A solution to the polarization problem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-27/

1. A description of the Laguerre-Hahn orthogonal polynomials of class zero revisited with two new families analogous to Bessel and new results for structure relations and differential equations
2. On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions
3. A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$
4. ODE/IM Correspondence at the Free-Fermion Point. Laguerre Wronskians, Shifted Symmetric Functions, and Quantum KdV
5. Uncertainty Principles, Spectral Localization, and Singular Schr\"odinger Operators on Compact Manifolds
6. A Unified Range Characterization for the Spherical mean transform
7. A Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary Conditions
8. Weighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-26/

1. Decoupling for AD-regular sets on the parabola
2. On potentials of distributions in Orlicz-Hardy type spaces on the Heisenberg group
3. Pointwise behavior of SU(1,1) nonlinear Fourier transform
4. Optimal discrete $p$-Hardy-Rellich-Birman inequalities
5. Discriminants of derivatives and symmetric difference polynomials
6. Calderon-type commutators and chamber lifting in the Dunkl setting
7. Sparse domination of Calder\'on--Zygmund operators by mean oscillations
8. Well-poised basic q-Taylor expansions with complementary remainders and a two-basis kernel
9. Lattice point counting problems on step-two nilpotent Lie groups
10. Specular differentiation in normed vector spaces: Quasi-Mean Value and Quasi-Fermat Theorems
11. A Closed Form for the Chord-Power Integral I_2 of a Triangle
12. Degenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by Brezis
13. A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors
14. The indicator diagram theory for maximal type entire functions and the characterization of analytic continuability
15. Uniform heat kernel asymptotics for the Grushin operator

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-25/

1. Discrete Pauli pairs
2. On a general method for deriving a fourth-order differential equation satisfied by Laguerre-Hahn orthogonal polynomials with new results for the class 0 analogous to Hermite
3. On almost periodicity in crystalline measures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-22/

1. Fourier analytic variants of the Furstenberg and Kakeya problems
2. Discrepancy of determinantal point processes on compact, connected two-point homogeneous spaces
3. On volumes of simplices in intermediate dimensions
4. A conjecture for arithmetic spherical maximal functions
5. Boundedness of the Hardy-Littlewood maximal operator on generalized fofana spaces
6. Hybrid and Component-wise Leggett-Williams type Fixed Point Theorems in Product Spaces with Applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-21/

1. Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel Functions
2. Brascamp--Lieb inequalities for fractal dimensions
3. $L^2$-Stability for STFT phase retrieval
4. Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
5. Modified Painlev\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-20/

1. Some new estimates for generalized fractional integrals associated with operators on Morrey spaces
2. The bilinear cone multiplier on $\mathbb{R}^2\times \mathbb{R}^2$
3. The Poisson Matrix $\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform
4. The Law of the iterated logaritm for smooth functions
5. A discussion of two new proofs of Fefferman's Fourier extension theorem in the plane
6. Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-19/

1. A Banach space that distinguishes two maximal operators
2. On singular integrals with non-negative kernels in the Heisenberg group
3. Gabor unconditional bases and frames in $L^p(\mathbb{R})$
4. Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
5. What lies between polynomial and exponential growth?
6. On the spectra of Cantor measures
7. Zero correlations and averaged fields of orthonormal Gaussian functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-18/

1. Generalized Error Bounds in the Recovery of Solitary Wave Profiles
2. Projections of convex polytopes to a line and higher univariate Prony systems
3. A Weyl-type theorem for Diophantine approximations driven by LCA groups and applications
4. Area of H\"older curves and coarea formula on the Heisenberg group

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-15/

1. Optimal $C^{1,1}$ and Quasi-Optimal $C^2$ Monotone Interpolation with Curvature Control
2. Darboux-type formula for Jacobi biorthogonal polynomials
3. Compact Embedding Theorem Associated with Classical Weight {Functions} in Two Variables
4. A new proof of maximal theorem on Heisenberg groups
5. Bilinear embedding for divergence-form operators with first-order terms and negative potentials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-14/

1. Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg Group
2. Complex methods in the asymptotics of M\"obius energy integrals of helix curves
3. Variable Muckenhoupt $A_\infty$ Weights
4. Triebel-Lizorkin spaces and expansive matrices
5. Galerkin Approximation of the Fractional Sobolev Constant
6. Large values of shifted mixed character sums
7. Superharmonically Weighted Dirichlet Spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-13/

1. $\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-12/

1. Isoperimetric Inequality for degenerate elliptic operators of Grushin type
2. Strichartz estimates for orthonormal systems on compact manifolds: the non-sharp region
3. Sharpness of convolution bounds for measures
4. Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
5. On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution
6. On the rational solutions of generalized Abel equations
7. Local Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized Hessians
8. Recent progress of Littlewood-paley Theory with chirp function
9. Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
10. The norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-11/

1. On ratios of theta functions
2. Dyadic Martingale Transforms and Weighted Walsh-Carleson Operators
3. Hermite expansions of functions from the weighted Hardy class
4. Orthogonal Polynomials, a Szeg\H{o}--Verblunsky Theorem and Baxter's Theorem on the Quaternionic Sphere
5. Brownian-time Change of measure

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-08/

1. Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectors
2. Finitude of Limit Cycles of Linear Piecewise ODEs in the Cylinder
3. Fourier coefficients of continuous functions with sparse spectrum
4. Convexity of the embedding parameter sets of some analytic function spaces
5. Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
6. A multidimensional Szemer\'{e}di theorem in integers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-07/

1. Radial Integration in Continuous Dimension: A Mellin-Gamma Classification of Euclidean Ball Volume
2. On maximal functions associated with planar vector fields
3. Energy-minimizing measures supported near fractal 1-sets
4. de la Vall\'ee Poussin Means of Walsh-Fourier Expansions
5. Almost Everywhere Convergence of Arithmetic Means of Walsh--Fourier Partial Sums Along Subsequences
6. On Characterizations of (Almost) Strictly Convex Functions
7. On Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials
8. Almost-Orthogonality in Lp Spaces: A Case Study with Grok
9. Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
10. Non-uniqueness for a differential equation and a proof by ChatGPT
11. Theta functions and transformations of bilateral basic hypergeometric series
12. Grokability in five inequalities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-06/

1. Shifted L\'evy's Dragon Curve and Directed Graph
2. A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
3. A discrete Hardy uncertainty principle
4. Exact ReLU realization of tensor-product refinement iterates
5. Two Regularized Determinants of Laplacian through Resurgence theory

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-05/

1. Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
2. Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
3. The strong version of nonlinear Carleson conjecture fails
4. Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems
5. Weighted decoupling with lower-dimensional frequency localization
6. Time-periodic carrying simplex for a competitive system of Carath\'eodory ODEs
7. How Thick Is the Sierpi\'nski Triangle?
8. A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
9. Self-similarity of unions of self-similar sets and their translations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-04/

1. A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
2. Existence and uniqueness of weak solutions to quasilinear PDEs with critical data

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-01/

1. Propagation of nonlinear pulses near diffractive points of any order
2. A divisor function of Wigert and higher degree forms
3. G\r{a}rding Polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-30/

1. Uncertainty Principle for distributions with Fourier transform in $L_{p,q}(\mathbb{R}^d)$
2. Compactness of bilinear singular integral with mild kernel regularity
3. Blend-to-zero operators for smooth transition functions
4. Non-symmetrically $t$-affine functions revisited
5. Quasi graph-additive functions with a prescribed branch
6. Fractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal Polynomials
7. Limit cycles in piecewise smooth systems with circular switching manifold
8. Spectral Selection in Symmetric Self-Attention Dynamics
9. Recovering Product BMO from Schatten Hankel operators
10. Weighted Linearization of Vector Fields via a Formal Moser Trick

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-29/

1. The Uncertainty Principle in Harmonic Analysis -- Lecture Notes on Selected Topics
2. The smoothest average and some extremal problems for polynomials
3. Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels
4. Quantitative estimates for the absolute convergence of wavelet-type series
5. A curved three-point pattern problem for fractal sets on the real line
6. Interlacing of zeros of polynomials completed with two additional points
7. Asymptotically sharp embedding of $A_\infty$ into $A_p$ for flat weights and applications to Poincar\'e-Sobolev inequalities
8. Relocation without preference: A destination-agnostic Schelling-type metapopulation model
9. Boundary estimates for the fractional spherical maximal function
10. Sharp Strichartz estimate for the 1D periodic Schr\"odinger equation

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-28/

1. Single-Point Higher-Order Szeg\H{o} Sum Rules in OPUC: Necessity for $m=1,2,3$
2. On a family of strong fractional maximal operators
3. A Six-Term Functional Equation and a Quartic Dilogarithm Ladder
4. A determinant identity for the sum of contour integral matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-27/

1. A counterexample to Abel-type asymptotics for scaled Volterra equations
2. A note on the sum-product problem for fractal sets
3. Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials
4. Continuity properties of strongly singular integral operators for extreme values of $p$
5. Existence of a periodic solution for superquadratic Hamiltonian systems with possible finite-time blow-up
6. Algebraic methods in periodic singular Liouville equations
7. $A_\infty$-invariance of oscillatory norms, and Schatten characterisations of commutators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-24/

1. Linear Response for Bernoulli Convolutions
2. Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries
3. $A^p_\alpha$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products
4. A theory of generalized Lam\'e curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-23/

1. On reality of eigenvalues of banded block Toeplitz matrices
2. On Uniqueness of Mock Theta Functions
3. On the Sadowsky functional for anisotropic ribbons

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-22/

1. Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem
2. Multiparameter Marcinkiewicz integrals and a resonance theorem
3. On Fourier decay and the distance set problem
4. Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-21/

1. On the packing dimension of projected measures
2. Counterexamples for lacunary dilates via dyadic spike blocks
3. Near-optimal density theorems for large dilates of large point configurations
4. The Adams trace theorem for product Morrey spaces
5. Rado's covering problem for cubes and balls: a semi-survey
6. Pointwise character bounds for $\mathrm{SU}(3)$
7. The Kerman-Sawyer trace theorem for product Morrey spaces
8. Multilinear embedding theorem for fractional sparse operators
9. Wave operators for Jacobi matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-20/

1. Uncertainty principles and singular potentials
2. Uniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopes
3. Bounded cohomology classes from differential forms

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-17/

1. Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels
2. On the orthogonality of solutions for higher-order non-Hermitian difference equations
3. On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary
4. Restricted Projections to Hyperplanes in $\mathbb{R}^n$
5. Uniform volume estimates and maximal functions on generalized Heisenberg-type groups
6. Arithmetic functions and learning theory
7. On Certain Pfaffians Connected with the Inverse Problem for Collinear Central Configurations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-16/

1. Haar bases for multi-parameter twisted structures
2. On the Hausdorff dimension of graph of random vector-valued Weierstrass function
3. On the discrete Painlev\'e equivalence problem, non-conjugate translations and nodal curves
4. Contractive analytic self-mappings of the disc
5. Coagulation equations with particle emission

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-15/

1. Higher-order asymptotics for the energy of greedy sequences on the unit circle
2. An eigenvalue result for Neumann BVPs with functional terms
3. Parabolic weak porosity and parabolic Muckenhoupt distance functions
4. On the Pointwise Convergence of Solutions to the Schr\"odinger Equation Along Certain Highly Tangential Curves
5. Uniqueness and non-uniqueness pairs for the fractional Laplacian

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-14/

1. The attainable almost sure large dimensions
2. Volterra periodic chain
3. Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation
4. On the non-uniqueness of continuous solutions to differential equations with a discrete state-dependent delay
5. Geronimus transformation and Sobolev-type orthogonal polynomials
6. Another approach to WKB analysis
7. Isotropic Positive Definite Functions on Spheres
8. A generalization of Reifenberg's theorem in R^N for flat cones
9. Complex analytic theory of Sturm-Liouville operators with Schatten $p$-class resolvents
10. Lagrangian formulation and Eulerian closure in alignment dynamics
11. Rigidity in the Planar Ulam Floating Body Problem with perimetral density $\sigma=\tfrac16$
12. Scattering for the Klein-Gordon-Schr\"odinger system in three dimensions with radial data
13. Feynman's linear divergence problem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-13/

1. Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line
2. P\'olya's shire theorem for a class of functions with essential singularities
3. Cotlar martingale transforms and related singular integrals

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-10/

1. Endpoint Estimates for Certain Singular Integrals with Non-smooth Kernels
2. An Efficient Entropy Flow on Weighted Graphs: Theory and Applications
3. The two-weight fractional Poincar\'e-Sobolev sandwich
4. The Boolean surface area of polynomial threshold functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-09/

1. The quantitative Beurling-Helson Theorem
2. Curves of tangencies of foliation pairs and normalizing transformations
3. Bourgain-Brezis-Mironescu formula for Riesz Potentials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-08/

1. Some analytic properties of the partial theta function
2. From curvature to Kovacic: a geometric approach to integrability of scalar ODEs
3. Projections of sets with optimal oracles onto $k$-planes
4. Explicit Formulas for the One-Parameter Group Generated by the Dunkl Operator on $\mathbb{R}$
5. A Generalized Fourier Transform and a Smooth Analogue of Dunkl Operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-07/

1. The Kakeya conjecture, after Wang and Zahl
2. Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators
3. Separating zeros of polynomials using an added interlacing point
4. A Minimalist Approach to Rolling Wheels
5. Bernstein inequality on parabolic domains
6. From hyperbolic to complex Euler integrals
7. On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
8. Hadamard-Type Asymptotics for Products of Best Rational Approximation Errors
9. Determinantally Equivalent Functions Beyond the Nowhere-Zero Case
10. Stokes structure of wild difference modules
11. On special values of Koshliakov zeta functions
12. Bounding the Gap Between Zeros of the Variable- Parameter Confluent Hypergeometric Function
13. An improved bound for sumsets of thick compact sets via the Shapley--Folkman theorem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-06/

1. A Bilinear Kakeya Inequality in the Heisenberg Group
2. Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property
3. A note on the Erd\"os minimal area problem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-03/

1. Extremal graph theory and point configurations in Ahlfors-David regular sets
2. Falconer lattice sets and the Erdos similarity problem
3. A Determinantal Approach to a Sharp $\ell^1-\ell^\infty-\ell^2$ Norm Inequality
4. Systems with discrete singular $\phi$-Laplacian and maximal monotone boundary conditions
5. A Fenchel Theorem for the Gauss maps and uniqueness of minimizers of nonlocal curvature energies
6. Ces\`aro summability of H\"older functions and Talbot effect on rank one Riemannian symmetric spaces of compact type

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-02/

1. A twisted Fefferman--Stein type inequality and its applications
2. Characterizations of fractional operators via integral transforms

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-01/

1. Meta Algebras and Special Functions: the Racah Case
2. Bourgain's projection theorem over normed division algebras
3. Uniform optimal-order Wasserstein quantisation
4. On maximal families of independent sets with respect to asymptotic density
5. Extreme points in quotients of Hardy spaces
6. Endogenous Cycles in a Keen--Goodwin Model with Minsky Debt
7. $\chi^2$-cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials
8. Thomas-Fermi equation revisited: A variation on a theme by Majorana

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-31/

1. On parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
2. Buffon Discrepancy and the Steinhaus Longimeter
3. Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions
4. Stability of periodic waves in the model with intensity--dependent dispersion
5. Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlev\'e VI distribution

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-30/

1. Spectral synthesis with the complexity parameter
2. Twisted Multiparameter singular integrals -- real variable methods and applications, I
3. Harald Bohr's splitting theorem
4. Paraproducts on local dyadic fractional Sobolev spaces
5. An integrality phenomenon
6. The Schwartz space for the $ (k, a) $-generalized Fourier transform and the minimal representation of the conformal group

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-27/

1. A further q-analogue of Gosper's strange series
2. Bifurcation of limit cycles in a class of piecewise smooth generalized Abel equations with two asymmetric zones
3. Characterisation of Convergence, Boundedness and Unboundedness in Solutions of Second Order Linear Differential Equations
4. Characterisation of Stability and Decay Rates in a Weakly Damped Second Order Linear Differential Equation
5. Extending Theorems of Boros and Menzer
6. A Bloch type space associated with {\lambda}-analytic functions
7. Real-variable theory of matrix-weighted multi-parameter Besov--Triebel--Lizorkin-type spaces
8. Real spectral shift functions for pairs of contractions and pairs of dissipative operators
9. Kakeya Conjecture and Conditional Kolmogorov Complexity
10. Fourier dimension of Mandelbrot Cascades on planar curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-26/

1. Quantitative Bounds and Compactness for the Commutators of Area Integrals Associated with Self-adjoint Operators on Weighted $L^p$ and Morrey Spaces
2. H\"older exponents and fractal structure of level sets of self-affine functions associated with the $Q_s$-representation of numbers
3. Sharp estimates for eigenvalues of localization operators with applications to area laws

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-25/

1. Maximal growth of the Stein-Wainger oscillatory integral
2. Singularity for graph-directed conjugate equations indexed by a two-vertex digraph
3. Anti-concentration of polynomials: $L^{p}$ balls and symmetric measures
4. Eigenvalue stability of Hermitian and normal matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-24/

1. Evaluation of the symmetrized Mordell-Tornheim zeta function
2. Frames and Bases of Translates of Signals on Undirected Graphs
3. A sharp logarithmic condition for the Hardy operator on $L^{1}(0,\infty)$ and $\ell^1$
4. Bidiagonal Factorization of Banded Recursion Matrices for Mixed-Type Multiple Orthogonal Polynomials
5. Spectral synthesis on Riemannian manifolds
6. Local Bernstein theory, and lower bounds for Lebesgue constants
7. A Logvinenko-Sereda theorem for lacunary spectra
8. Bifurcations for Lagrangian systems and geodesics I
9. Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations
10. Zeros of Laurent multiple orthogonal polynomials on the unit circle
11. Hausdorff Dimension of Union of Lines that Cover a Function Graph: Applications to PDEs
12. Double Recurrence and Almost Sure Convergence: Primes and Weighted Theory
13. Dynamics of the Takagi function and the shadowing property

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-23/

1. Perturbations of Cauchy differences
2. Quantitative theory of the inverse spectral problem for Sturm-Liouville operator with applications
3. Dominated sets, microscopic sets and Hausdorff measures
4. The shifted bilinear Hilbert transform

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-20/

1. Furstenberg-type estimates under mild non-concentration assumptions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-19/

1. Finner-like inequalities in the Heisenberg group
2. Quantitative harmonic approximations and Dorronsoro's Theorem in metric measure spaces
3. Weighted equilibrium in a field of a uniform charge of an interval
4. A new class of orthogonal polynomials
5. A brief review of Radon-Nikod\'ymification

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-18/

1. The d'Alembert Inevitability Theorem
2. Finite orthogonal polynomials on a cone
3. Lower bounds in $H^2$-rational approximation to Blaschke products
4. Sparse Bounds for Rough Fourier Integral Operators
5. Extrapolation of solvability of the parabolic $L^p$ Neumann problem on bounded Lipschitz cylinders

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-17/

1. Automorphisms of Stokes multipliers in higher-order WKBJ theory
2. Stability of the generalized Wehrl entropy and the local concentration of homogeneous polynomials
3. Sturm-Liouville problems with a boundary condition depending bilinearly on an eigenparameter
4. Arithmetic Constraints on Hypergeometric Identities
5. On subadditive quasi-arithmetic means
6. Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates
7. On some results of Korobov and Larcher and Zaremba's conjecture
8. Minimizers of the Maximum Distance Problem via an Analyst's Traveling Salesperson Algorithm
9. Curved Ingham inequalities and observability of the toroidal Schr{\"o}dinger equation
10. Riesz transforms associated with the Grushin operator with drift
11. Mixed Bourgain-Morrey spaces and their applications to boundedness of operators
12. Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-16/

1. Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs
2. Polynomial curvelets on higher-dimensional spheres
3. Nontrivial weak solutions of the stationary KdV equation in sharp $L^p$ spaces
4. Approximate null-controllability of discrete heat equations with potentials on lattices
5. More on explicit correspondence between gradient trees in $\mathbb{R}$ and holomorphic convex quadrilaterals in $T^{*}\mathbb{R}$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-13/

1. Duality for Delsarte's extremal problem on compact Gelfand pairs
2. Le Roy, Lerch and Legendre chi functions and generalised Borel-Le Roy transform
3. The Green Function for Elliptic Systems in the Upper-Half Space

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-12/

1. An invitation to dimension interpolation
2. Sharp Eigenfunction Bounds on the Torus for large $p$
3. Analysis of a Biofilm Model in a Continuously Stirred Tank Reactor with Wall Attachment
4. On positive definite thresholding of correlation matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-11/

1. The $p$-Hardy-Rellich-Birman inequalities on the half-line
2. Cumulative Riemann sums, distribution functions, and a universal inequality
3. The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization
4. Algebraicity of the Brascamp-Lieb constants
5. Convex body domination for the commutator of vector valued operators with matrix multi-symbol
6. Transformed $\ell_p$ Minimization Model and Sparse Signal Recovery

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-10/

1. On one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functions
2. Sharp estimates for eigenvalues of localization operators before the plunge region
3. A note on small cap square function and decoupling estimates for the parabola
4. Cancellative sparse domination
5. Asymmetric uniqueness sets in $\ell^q$
6. Yet Another Characterisation of Classical Orthogonal Polynomials?
7. CONVOLVED NUMBERS OF K-SECTION OF THE FIBONACCI SEQUENCE: PROPERTIES, CONSEQUENCES Convolved Numbers of $k$-sections of the Fibonacci Sequence
8. Differentiable normal linearization of partially hyperbolic dynamical systems
9. Necessary conditions for existence of tensor invariants for general nonlinear dynamical systems
10. Blaschke products and unwinding in higher dimensions
11. PDE propagation, sampling, and the Fourier ratio
12. Spectrum of Hausdorff operators on weighted Bergman and Hardy spaces of the upper half-plane

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-09/

1. On the approximation of Weierstrass function via superoscillations
2. Hausdorff dimension of images and graphs of some random complex series
3. The Planar Coleman--Gurtin model with Beltrami conductivity
4. Rubio de Francia Extrapolation Theorem for Quasi non-increasing Sequences

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-06/

1. Elliptic integral identities derived from Coxeter's integrals
2. Riesz energy deformation through insulated strips
3. Weighted Chui's conjecture
4. Weighted Sobolev Inequalities via the Meyers--Ziemer Framework: Measures, Isoperimetric Inequalities, and Endpoint Estimates

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-05/

1. Convex and quasiconvex truncations of nonconvex functions
2. On Hausdorff dimensions of $k$-point configuration sets and Elekes-R\'onyai type theorems
3. A degeneration of the generalized Zwegers' $\mu$-function according to the Ramanujan difference equation
4. Catching jumps of metric-valued mappings with Lipschitz functions
5. Asymptotic sharpness of a Nikolskii type inequality for rational functions in the Wiener algebra
6. Bilinear spherical maximal function on the Heisenberg group
7. Extreme and exposed points of shift-invariant spaces generated by Gaussian kernel and hyperbolic secant

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-04/

1. Attainable forms of lower spectra
2. Whispering Gallery Modes for Semilinear Dirichlet Eigenvalue Problems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-03/

1. Analysis of the long-term behavior of the "Bando--follow-the-leader'' car-following model
2. On uniqueness sets and coefficients of multiple Walsh series converging over cubes
3. Krall-type orthogonal polynomials and integrable isomonodromic deformations
4. Mapping properties of the $S$-operator
5. Falconer-type results for any finite graph with multiple pins
6. Revisiting second-order linear differential equations over Hardy fields
7. $\ell^1$ mapping properties, smoothness and decay for $SU(2)$-valued nonlinear Fourier transform
8. Weighted boundedness for the maximal operator associated with matrices
9. Riemann-Wirtinger integrals on the product of two one-dimensional complex tori
10. A Unified Model for Blood and Lymph Flow with Coupled Nonsmooth Biochemical Dynamics
11. Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications
12. Commutators, mean-field, and supercritical mean-field limits for Coulomb/Riesz gases

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-02/

1. Bounded and measurable common fundamental domains for two lattices
2. Singularities of the First Painlev{\'{e}} Transcendent
3. Rational solutions and limit cycles of polynomial and trigonometric Abel equations
4. Continuous dependence results for quasilinear evolution equations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-27/

1. Three-Term Recurrence Relations for Confluent Basic Hypergeometric Series with Applications to q-Bessel Functions
2. Repeated principal indefinite summation
3. High-dimensional Laplace asymptotics up to the concentration threshold

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-26/

1. Every semi-normalized unconditional Schauder frame in Hilbert spaces contains a frame
2. Endpoint Variation and jump inequalities for rough singular integrals
3. Canonical forms for boundary conditions of self-adjoint odd-order differential operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-25/

1. A coherent theory of tent spaces and homogeneous Triebel-Lizorkin spaces
2. On the P\'olya Frequency Order of the de Bruijn Newman Kernel. Certified Failure at Order Five and the Toeplitz Threshold Phenomenon
3. Sharp isoperimetric inequalities on the Hamming cube II: The critical exponent
4. Wendroff's theorem beyond consecutive degrees and related inverse spectral problems
5. Oppenheim--Schur inequalities for causal products

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-23/

1. Sharp estimates for the Fourier transform of surface-carried measures and maximal operators associated with hypersurfaces in $\mathbb{R}^4$ with vanishing Gaussian curvature
2. Helical maximal function and weighted estimates
3. Conditional thinning and multiplicative statistics of Laguerre-type orthogonal polynomial ensembles

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-20/

1. Power weight inequalities for spherical maximal functions
2. Complex Moments, Gamma and Riemann Zeta Functions unified by the Parabolic Mellin Transform
3. Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calder\'on-Type Reproducing Formula, Atomic Characterization, and Product Calder\'on--Zygmund Operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-19/

1. A.E. Convergence vs Boundedness
2. Remarks on the inverse Littlewood conjecture
3. Cantor sets in higher dimensions II: Optimal dimension constraint for stable intersections

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-18/

1. Slowly decaying Rajchman measures and a restriction theorem for the Fourier transform at the limit case of zero Fourier dimension
2. The general Brannan coefficient conjecture and Watson's lemma
3. A lower bound for a variation norm operator associated with circular means
4. Improved regularity for a composite functional equation stemming from the theory of means
5. A Counterexample to Matkowski's Conjecture for Quasi Graph-Additive Functions
6. Asymptotics and zero distribution of geometric polynomials
7. Connection formulas for Askey--Wilson polynomials and related expansions
8. Integer Cantor Sets: Arithmetic Combinatorial Properties
9. Szemer\'edi's Theorem Along Cantor Sets of Integers
10. Finite Free Information Inequalities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-17/

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-02-16/

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-01-21/

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-01-19/

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-01-16/