プレプリどんどん: math.CA

プレプリどんどん: math.CA

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プレプリどんどん: math.CA episodes

  • 直交多項式と近似と不等式と偏極化 - 2026/5/28の論文5本

    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
    10 min
  • 直交多項式と不確定性原理と関数空間 - 2026/5/27の論文8本

    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
    16 min
  • 調和解析と関数空間と不等式 - 2026/5/26の論文15本

    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
    26 min
  • パウリ対と直交多項式と結晶測度 - 2026/5/25の論文3本

    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
    6 min
  • フーリエ解析と不変量と不動点定理 - 2026/5/22の論文6本

    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
    12 min
  • ベッセル関数とフラクタルと Hardy 空間 - 2026/5/21の論文5本

    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
    10 min
  • 分数積分と乗数とフーリエ拡張 - 2026/5/20の論文6本

    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
    11 min
  • バナッハ空間と特異積分とガボール基底 - 2026/5/19の論文7本

    arXiv math.CAの新着論文7本をご紹介します。

    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
    13 min
  • 誤差評価と凸多面体とディオファントス近似 - 2026/5/18の論文4本

    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/2026-05-18/

    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
    8 min
  • 補間と多項式と埋め込みと作用素 - 2026/5/15の論文5本

    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/2026-05-15/

    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
    10 min

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