プレプリどんどん: math.CA

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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)

  1. 12H AGO

    多線形形式と距離グラフ - 2026/5/13の論文1本

    arXiv math.CAの新着論文1本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-13/ $\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs

    2 min

  2. 1D AGO

    不等式と推定と関数解析 - 2026/5/12の論文10本

    arXiv math.CAの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-12/ Isoperimetric Inequality for degenerate elliptic operators of Grushin typeStrichartz estimates for orthonormal systems on compact manifolds: the non-sharp regionSharpness of convolution bounds for measuresMultilinear multiplier theorems and their applications to the Jacobian and the Hessian determinantOn the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distributionOn the rational solutions of generalized Abel equationsLocal Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized HessiansRecent progress of Littlewood-paley Theory with chirp functionConcentration effects and $\Gamma$-limit for the elastica functional for open and closed curvesThe norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$

    22 min

  3. 2D AGO

    テータ関数と直交多項式とブラウン運動 - 2026/5/11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/2026-05-11/ On ratios of theta functionsDyadic Martingale Transforms and Weighted Walsh-Carleson OperatorsHermite expansions of functions from the weighted Hardy classOrthogonal Polynomials, a Szeg\H{o}--Verblunsky Theorem and Baxter's Theorem on the Quaternionic SphereBrownian-time Change of measure

    9 min

  4. 5D AGO

    ノルムと極限サイクルとフーリエ係数 - 2026/5/8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/2026-05-08/ Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectorsFinitude of Limit Cycles of Linear Piecewise ODEs in the CylinderFourier coefficients of continuous functions with sparse spectrumConvexity of the embedding parameter sets of some analytic function spacesAccessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocksA multidimensional Szemer\'{e}di theorem in integers

    8 min

  5. 6D AGO

    関数と不等式と動的系と級数 - 2026/5/7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/2026-05-07/ Radial Integration in Continuous Dimension: A Mellin-Gamma Classification of Euclidean Ball VolumeOn maximal functions associated with planar vector fieldsEnergy-minimizing measures supported near fractal 1-setsde la Vall\'ee Poussin Means of Walsh-Fourier ExpansionsAlmost Everywhere Convergence of Arithmetic Means of Walsh--Fourier Partial Sums Along SubsequencesOn Characterizations of (Almost) Strictly Convex FunctionsOn Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomialsAlmost-Orthogonality in Lp Spaces: A Case Study with GrokSmooth linearization of nonautonomous dynamics under general dichotomic behaviourNon-uniqueness for a differential equation and a proof by ChatGPTTheta functions and transformations of bilateral basic hypergeometric seriesGrokability in five inequalities

    18 min

  6. MAY 6

    レヴィ曲線と漸近解析と不確定性原理 - 2026/5/6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/2026-05-06/ Shifted L\'evy's Dragon Curve and Directed GraphA novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formulaA discrete Hardy uncertainty principleExact ReLU realization of tensor-product refinement iteratesTwo Regularized Determinants of Laplacian through Resurgence theory

    7 min

  7. MAY 5

    q-Heun方程式と自己相似集合 - 2026/5/5の論文9本

    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/2026-05-05/ Special Solutions of $q$-Heun Equation by $q$-Integral TransformationsExact Loop Controllers for ReLU Realization of Homogeneous Curve RefinementsThe strong version of nonlinear Carleson conjecture failsInhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systemsWeighted decoupling with lower-dimensional frequency localizationTime-periodic carrying simplex for a competitive system of Carath\'eodory ODEsHow Thick Is the Sierpi\'nski Triangle?A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumerationSelf-similarity of unions of self-similar sets and their translations

    12 min

  8. MAY 4

    最適制御と準線形偏微分方程式 - 2026/5/4の論文2本

    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/2026-05-04/ A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and SubdifferentialsExistence and uniqueness of weak solutions to quasilinear PDEs with critical data

    3 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)

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