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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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16 de oct. de 2026

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Episodios

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...

不等式と調和解析とリッチソリトン - 2026/6/3の論文7本 03.06.2026

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/2026-06-03/ Sharp Log-Sobolev Inequalities for Finite Cyclic Groups with Word-Length Maximal inequalities for derivatives of spherical means Optimal constants of smoothing estimates for quantum harmonic oscillators Multiple Orthogonal Polynomials on the Ball and Radial Extensions On the...

凸性と関数近似と多項式と積分 - 2026/6/2の論文12本 02.06.2026

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/2026-06-02/ High-level convexity for products of squared Euclidean distance functions A Quantified Two-projection Theorem for Nonlinear Projections Chamber lifting and non-radial Dunkl multipliers Constructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz Ineq...

不等式と自由確率論 - 2026/6/1の論文3本 01.06.2026

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/2026-06-01/ Two-weight inequalities for the Dunkl--Poisson integrals A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $\mathbb{Z}_{n}$ for $n\geq 4$ P\'olya--Schur problems and free probability

正交多項式とスペクトルと不等式 - 2026/5/29の論文9本 29.05.2026

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/2026-05-29/ Restriction problems on the three-dimensional Heisenberg nilmanifold The manufacture of examples: the $(-1)$-classical orthogonal polynomials Where not to find the spectrum of the partial theta function Complex spectrum of the partial theta function On hyperbolic corners and...

直交多項式と近似と不等式と偏極化 - 2026/5/28の論文5本 28.05.2026

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/2026-05-28/ Half-Step-Invariant Sets, Admissible Maps, and Classical Orthogonal Polynomials Positive Measure of Unions of Variable Surfaces Simultaneous approximation properties of a certain genuine hybrid type operator Improvement of a Hardy-Littlewood inequality and applications to the...

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 27.05.2026

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/ 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 On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functi...

調和解析と関数空間と不等式 - 2026/5/26の論文15本 26.05.2026

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/2026-05-26/ Decoupling for AD-regular sets on the parabola On potentials of distributions in Orlicz-Hardy type spaces on the Heisenberg group Pointwise behavior of SU(1,1) nonlinear Fourier transform Optimal discrete $p$-Hardy-Rellich-Birman inequalities Discriminants of derivatives and...

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