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プレプリどんどん: math.CA

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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プレプリどんどん編集部

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Science

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prepridondon.nyoho.jp

Dernier épisode

10 juil. 2026

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Épisodes

エネルギーと二項係数とフーリエ解析 - 2026/7/10の論文9本 10.07.2026

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/2026-07-10/ A set of points on the sphere with small Riesz energy On $(p,q)$-binomial coefficient ratios for complex parameters Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators Two-ends Furstenberg inequality for transversal families and applications t...

全質量と等周問題と多項式と位相回復 - 2026/7/9の論文4本 09.07.2026

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/2026-07-09/ A note on the first variation of the total mass Paul levy's Isoperimetric Problems on cyclic polygons There is no degree independent Bombieri type inequality for non-homogeneous polynomials Stable Phase Retrieval for Spans of Independent Random Variables

ベッセル比と不等式と最大関数 - 2026/7/8の論文6本 08.07.2026

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/2026-07-08/ Riccati Reductions for Modified Bessel Ratios: Bernstein Positivity, Exact Certificates, and Transfer Obstructions A Variation Norm Carleson Theorem Along the Primes High-dimensional limits and extremizers for maximal functions associated with log-concave densities On a measu...

近似と有界性とスペクトルと関数 - 2026/7/7の論文17本 07.07.2026

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/2026-07-07/ A Bernstein--Ganzburg limit theorem for best weighted approximation Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Trace bounds for limiting operators on rough domains A variation on the P\'{o}lya-Seg\H{o} principle in one dimension Weighted...

スペクトルと摂動と測度と境界値 - 2026/7/3の論文12本 03.07.2026

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/2026-07-03/ Spectrality of factors of product spectral measures Summability of formal solutions of some singular perturbations problems in differential and moment differential equations Improved polynomial estimate for the Lebesgue constants of Leja sequences on finite unions of interva...

ベッセル関数と直交多項式とポテンシャル - 2026/7/2の論文9本 02.07.2026

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/2026-07-02/ An order-interpolation inequality for Bessel functions On volume vectors determined by hypergraphs in thin subsets of Euclidean space The $2j-k$ and $j-2k$ Bi-orthogonal Polynomials on the Unit Circle: Further Properties and Riemann-Hilbert Characterizations On the Peres--Sch...

関数と行列と空間と境界条件 - 2026/7/1の論文9本 01.07.2026

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/2026-07-01/ Equivalence of the minimality conditions for the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter Order-Moment Transport and Hankel Determinants in Special-Function Inequalities Conjectures of Bernstein and Erd\H os...

多様体とフーリエ解析と最適化 - 2026/6/30の論文16本 30.06.2026

arXiv math. CAの新着論文16本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-30/ Kernel approximation beyond the native space -- with applications to approximation on manifolds Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds Estimate of the Rate of Convergence of Fourier Sums for Functions from Lebesgue Classes on a S...

直交多項式と関数空間と多次元積分 - 2026/6/29の論文3本 29.06.2026

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/2026-06-29/ Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials On the Bourgain--Brezis--Mironescu spaces over Carleson tents Which Saddles Contribute? The South-East Rule for Multidimensional Integrals

積分とグラフと微分方程式 - 2026/6/26の論文15本 26.06.2026

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/2026-06-26/ Askey-Wilson continued fraction at $q^N=1$ A $Tb$ type theorem for suppressed kernels A Finitely Generated Module Representation of the Bickley-Naylor Functions An analytic approach to the ubiquity of geometric Brascamp-Lieb data The longest and shortest roots of a real cubi...

多様体と多項式と方程式 - 2026/6/25の論文6本 25.06.2026

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/2026-06-25/ The Maximum Codimension of a Salem Submanifold A Riemann-Hilbert approach to the computation of transform pairs Dragon curves in Littlewood roots An inequality for Jacobi polynomials: a complement to Finite Increment Theorem A novel 2+1-dimensional extended Dym equation: movi...

不等式とエントロピーと漸近挙動 - 2026/6/24の論文9本 24.06.2026

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/ Weighted Hardy Inequalities for Nested Averages Sufficient conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations Metric entropy of Fourier ratio classes on ${\mathbb Z}_N$ The Usual Square Function on Weakly Flat Set...

微分方程式と関数空間と粗い道 - 2026/6/23の論文17本 23.06.2026

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/ Necessary conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations A Critical-Scale Extension of Zhizhiashvili's Theorem for Rectangular Fourier Series Minimality of the root functions of Sturm-Liouville problems with...

離散リース変換とディリクレ級数と自己縮小曲面 - 2026/6/19の論文4本 19.06.2026

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/ Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the discrete Riesz Transforms The Littlewood-Paley formula and mean counting function for vertical limits of Dirichlet series On $H=W$ in Banach function spaces Comparison Theorems for the Profile Curve E...

超幾何級数と重み付き評価 - 2026/6/18の論文4本 18.06.2026

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/ Classification of the hypergeometric orthogonal polynomials via their recurrence coefficients General duality relations for hypergeometric and basic hypergeometric series On weighted estimates for fractional operators and applications to Hardy-type inequalities Two weight est...

微分包含とスペクトルとゼータ関数 - 2026/6/17の論文6本 17.06.2026

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/ Unbounded nonconvex Young differential inclusions: existence of a measurable selection of solutions Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schr\"{o}dinger operators Spectral interpretation of Riemann zeta zeros Weak and strong $...

近似と輸送と測度と関数空間 - 2026/6/16の論文17本 16.06.2026

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/ Multiplicative and Additive Finite Free Convolutions for q-Polynomials Rational approximation to the Hurwitz-Lerch zeta function The Opdam-Cherednik kernel is the Laplace transform of a positive measure A universal support theorem for 1-Wasserstein optimal transport From Fra...

フーリエ級数と有理関数と演算子 - 2026/6/15の論文5本 15.06.2026

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/ Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums A remark on Chebyshev rational functions, multipoint Pad\'e approximants and Noise $l^{p}-L^{q}$ boundedness of sequence-to-function Hardy-Littlewood-P\'{o}lya-type operators Loc...

フーリエ解析と積分と次元とニューラルネットワーク - 2026/6/12の論文9本 12.06.2026

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/ Remarks on the Ionescu-Wainger multiplier theorem An Oskolkov--Zhizhiashvili Criterion for Rectangular Fourier Sums The (local) geometry of oscillatory integrals on manifolds: Dimension three On Almgren's Multiple-valued Functions of Class 1 Quantitative flatness and obstruct...

ブランナン係数とヒル関数 - 2026/6/11の論文2本 11.06.2026

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/ The general Brannan coefficient conjecture II: Meijer-function approximations Sharpness characterizes Hill functions

傘形式演算とヤコビ行列と畳み込み不等式 - 2026/6/10の論文3本 10.06.2026

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/ A Resurgent Analytic Framework for Indicial Umbral Calculus via Mellin-Barnes and Borel-Laplace Theories Clock spacing for two-sided Jacobi matrices Two Integral Sliding-Window Inequalities for Maximal Convolutions

不等式と関数空間と測度論 - 2026/6/9の論文16本 09.06.2026

arXiv math. CAの新着論文16本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-09/ Functions of Bounded Variation and Point Processes From generalized Poincar\'e to Poincar\'e-Sobolev inequalities via self-improving methods Weighted Hardy Inequality in $l_2$ On the Constant and Extremal Function for Weighted Hardy Inequality in $L_p$ The Distance for Funct...

多項式と調和解析と幾何学的構造 - 2026/6/8の論文9本 08.06.2026

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/2026-06-08/ Quasi-Orthogonal Polynomials and Exceptional Sequences Convergence of sparse square-summable NLFT The Sidon Decomposition Problem in Abelian Groups of Bounded Torsion Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study Fourier restriction estima...

射影と多項式と変換と分岐と散乱 - 2026/6/5の論文7本 05.06.2026

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/2026-06-05/ A simple proof that the Riesz projection is bounded on $L^p(\mathbb{T})$ for $1

直交多項式と準解析関数と量子群 - 2026/6/4の論文7本 04.06.2026

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/2026-06-04/ Almost everywhere divergence of double Fourier series along shrinking conical regions From local to global asymptotic behaviour of orthogonal polynomials Median porosity is quasiconformally invariant Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$ Uniquenes...

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