プレプリどんどん編集部

プレプリどんどん: math.CA

Science JA ↓ 105 episodes

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

Latest episode

Jul 10, 2026

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Episodes

調和解析と多項式と特異積分と推定 - 2026/4/29の論文10本 29.04.2026

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/2026-04-29/ The Uncertainty Principle in Harmonic Analysis -- Lecture Notes on Selected Topics The smoothest average and some extremal problems for polynomials Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels Quantitative estimates for the absolu...

最大作用素と関数方程式と行列式 - 2026/4/28の論文4本 28.04.2026

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/2026-04-28/ Single-Point Higher-Order Szeg\H{o} Sum Rules in OPUC: Necessity for $m=1,2,3$ On a family of strong fractional maximal operators A Six-Term Functional Equation and a Quartic Dilogarithm Ladder A determinant identity for the sum of contour integral matrices

積分演算子とハミルトン系と多項式 - 2026/4/27の論文7本 27.04.2026

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/2026-04-27/ A counterexample to Abel-type asymptotics for scaled Volterra equations A note on the sum-product problem for fractal sets Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials Continuity properties of strongly singular integral o...

ベルヌーイ畳み込みと調和測度とラメ曲線 - 2026/4/24の論文4本 24.04.2026

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/2026-04-24/ Linear Response for Bernoulli Convolutions Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries $A^p_\alpha$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products A theory of generalized Lam\'e curves

固有値と模形式とリボン - 2026/4/23の論文3本 23.04.2026

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/2026-04-23/ On reality of eigenvalues of banded block Toeplitz matrices On Uniqueness of Mock Theta Functions On the Sadowsky functional for anisotropic ribbons

リーシュ変換とフーリエ減衰と積分作用素 - 2026/4/22の論文4本 22.04.2026

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/2026-04-22/ Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem Multiparameter Marcinkiewicz integrals and a resonance theorem On Fourier decay and the distance set problem Boundedness properties of the bilinear fractional integral operator...

次元と密度とトレース定理と演算子 - 2026/4/21の論文9本 21.04.2026

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/2026-04-21/ On the packing dimension of projected measures Counterexamples for lacunary dilates via dyadic spike blocks Near-optimal density theorems for large dilates of large point configurations The Adams trace theorem for product Morrey spaces Rado's covering problem for cubes and ba...

不確定性原理と境界コホモロジー - 2026/4/20の論文3本 20.04.2026

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/2026-04-20/ Uncertainty principles and singular potentials Uniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopes Bounded cohomology classes from differential forms

エネルギーと差分方程式と不等式 - 2026/4/17の論文7本 17.04.2026

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/2026-04-17/ Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels On the orthogonality of solutions for higher-order non-Hermitian difference equations On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary...

ハール基底とハウスドルフ次元と凝集方程式 - 2026/4/16の論文5本 16.04.2026

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/2026-04-16/ Haar bases for multi-parameter twisted structures On the Hausdorff dimension of graph of random vector-valued Weierstrass function On the discrete Painlev\'e equivalence problem, non-conjugate translations and nodal curves Contractive analytic self-mappings of the disc Coagul...

エネルギーと固有値とラプラシアン - 2026/4/15の論文5本 15.04.2026

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/2026-04-15/ Higher-order asymptotics for the energy of greedy sequences on the unit circle An eigenvalue result for Neumann BVPs with functional terms Parabolic weak porosity and parabolic Muckenhoupt distance functions On the Pointwise Convergence of Solutions to the Schr\"odinger Equat...

ボルツェラとWKBとシュタッテン - 2026/4/14の論文13本 14.04.2026

arXiv math. CAの新着論文13本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-14/ The attainable almost sure large dimensions Volterra periodic chain Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation On the non-uniqueness of continuous solutions to differential equations with a discrete state-dependent...

DunklとSingularとMart - 2026/4/13の論文3本 13.04.2026

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/2026-04-13/ Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line P\'olya's shire theorem for a class of functions with essential singularities Cotlar martingale transforms and related singular integrals

非滑らかな核と重み付きグラフとポアンカレ - 2026/4/10の論文4本 10.04.2026

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/2026-04-10/ Endpoint Estimates for Certain Singular Integrals with Non-smooth Kernels An Efficient Entropy Flow on Weighted Graphs: Theory and Applications The two-weight fractional Poincar\'e-Sobolev sandwich The Boolean surface area of polynomial threshold functions

定量的ベウルンガーと曲線と正規化 - 2026/4/9の論文3本 09.04.2026

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/2026-04-09/ The quantitative Beurling-Helson Theorem Curves of tangencies of foliation pairs and normalizing transformations Bourgain-Brezis-Mironescu formula for Riesz Potentials

部分θ関数と幾何的解析とDunkl変換 - 2026/4/8の論文5本 08.04.2026

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/2026-04-08/ Some analytic properties of the partial theta function From curvature to Kovacic: a geometric approach to integrability of scalar ODEs Projections of sets with optimal oracles onto $k$-planes Explicit Formulas for the One-Parameter Group Generated by the Dunkl Operator on $\m...

カケヤとシュレーディンガーとオイラー - 2026/4/7の論文13本 07.04.2026

arXiv math. CAの新着論文13本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-07/ The Kakeya conjecture, after Wang and Zahl Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators Separating zeros of polynomials using an added interlacing point A Minimalist Approach to Rolling Wheels Bernstein inequality on parabolic domains Fro...

バイリニアとカケヤと逆倍増性とエルドス - 2026/4/6の論文3本 06.04.2026

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/2026-04-06/ A Bilinear Kakeya Inequality in the Heisenberg Group Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property A note on the Erd\"os minimal area problem

極限グラフと点配置と正則集合 - 2026/4/3の論文6本 03.04.2026

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/2026-04-03/ Extremal graph theory and point configurations in Ahlfors-David regular sets Falconer lattice sets and the Erdos similarity problem A Determinantal Approach to a Sharp $\ell^1-\ell^\infty-\ell^2$ Norm Inequality Systems with discrete singular $\phi$-Laplacian and maximal mono...

フェフマン-スティン不等式と応用と分数演算子 - 2026/4/2の論文2本 02.04.2026

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/2026-04-02/ A twisted Fefferman--Stein type inequality and its applications Characterizations of fractional operators via integral transforms

メタ代数とラカーハーとワッサースタイン - 2026/4/1の論文8本 01.04.2026

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/2026-04-01/ Meta Algebras and Special Functions: the Racah Case Bourgain's projection theorem over normed division algebras Uniform optimal-order Wasserstein quantisation On maximal families of independent sets with respect to asymptotic density Extreme points in quotients of Hardy space...

ソボレフとバフンとポワソンとイジン - 2026/3/31の論文5本 31.03.2026

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/2026-03-31/ On parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces Buffon Discrepancy and the Steinhaus Longimeter Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions Stability of periodic waves in the model with intensity--dependent...

スペクトルと分解と分数と変換 - 2026/3/30の論文6本 30.03.2026

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/2026-03-30/ Spectral synthesis with the complexity parameter Twisted Multiparameter singular integrals -- real variable methods and applications, I Harald Bohr's splitting theorem Paraproducts on local dyadic fractional Sobolev spaces An integrality phenomenon The Schwartz space for the...

q-解析と奇異系列と分岐と安定 - 2026/3/27の論文10本 27.03.2026

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/2026-03-27/ A further q-analogue of Gosper's strange series Bifurcation of limit cycles in a class of piecewise smooth generalized Abel equations with two asymmetric zones Characterisation of Convergence, Boundedness and Unboundedness in Solutions of Second Order Linear Differential Equ...

量的境界と自己随伴演算子とフラクタル構造 - 2026/3/26の論文3本 26.03.2026

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/2026-03-26/ Quantitative Bounds and Compactness for the Commutators of Area Integrals Associated with Self-adjoint Operators on Weighted $L^p$ and Morrey Spaces H\"older exponents and fractal structure of level sets of self-affine functions associated with the $Q_s$-representation of num...

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