arXiv math.CAの新着論文12本をご紹介します。

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

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/2026-06-01/

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

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/2026-05-29/

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

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/2026-05-28/

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

arXiv math.CAの新着論文8本をご紹介します。

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

arXiv math.CAの新着論文15本をご紹介します。

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

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/2026-05-25/

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

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/2026-05-22/

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

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/2026-05-21/

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

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/2026-05-20/

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