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

  • 凸性と非凸性とHausdorff次元 - 2026/3/5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/2026-03-05/

    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
    8 min
  • 車追従モデルとハーディ場とガス - 2026/3/3の論文12本

    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/2026-03-03/

    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
    13 min
  • パインレーブと極限周期と連続依存 - 2026/3/2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/2026-03-02/

    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
    5 min
  • 三項再帰とq-ベッセルと無限和と高次元 - 2026/2/27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/2026-02-27/

    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
    4 min
  • 半正規化と不変性と粗い奇異積分 - 2026/2/26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/2026-02-26/

    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
    4 min
  • トライベル・リゾルフとハミング立方体 - 2026/2/25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/2026-02-25/

    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
    6 min
  • Fourier変換と表面測度と最大演算子とラグレール多項式 - 2026/2/23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/2026-02-23/

    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
    4 min
  • 球面最大関数とメルン変換とガンマ - 2026/2/20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/2026-02-20/

    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
    4 min

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arXivのmath.CA (古典解析と常微分方程式) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)