arXiv math.CAの新着論文9本をご紹介します。

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

arXiv math.CAの新着論文17本をご紹介します。

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 ${\Bbb R}^n$

arXiv math.CAの新着論文4本をご紹介します。

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

arXiv math.CAの新着論文4本をご紹介します。

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

arXiv math.CAの新着論文6本をご紹介します。

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

arXiv math.CAの新着論文17本をご紹介します。

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

arXiv math.CAの新着論文5本をご紹介します。

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

arXiv math.CAの新着論文9本をご紹介します。

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

arXiv math.CAの新着論文2本をご紹介します。

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

arXiv math.CAの新着論文3本をご紹介します。

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