プレプリどんどん編集部
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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Latest episode
Oct 16, 2026
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Episodes
漸近解析と特殊関数と推定値 - 2026/8/5の論文8本 05.08.2026 14:05
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/2026-08-05/ Laplace Asymptotics near Stratified Minimum Sets Algebraic defect and positive mother body measures On the endpoint estimate for discrete spherical average over sparse sequences Optimized bounds for the product and the ratios of modified Bessel functions Mechanical Implicatio...
正則化と多項式と関数空間と不等式 - 2026/8/4の論文17本 04.08.2026 30:06
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/2026-08-04/ Minimizers of one-dimensional regularization problems with linear and nonlinear total variation On an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl Bessel-Like Multiple Orthogonal Polynomials of Mixed Type Positive Bidiagonal Factoriza...
電荷と射影と固有関数と演算子と関数 - 2026/8/3の論文5本 03.08.2026 9:16
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/2026-08-03/ From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem Favard length and generalized projections Nonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approach Perturbed Dyadic Cubes and Quantitative Estimates for Schr\"odinger Ope...
漸近解析とフラクタルと近似理論 - 2026/7/31の論文9本 31.07.2026 16:39
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/2026-07-31/ Airy Turning-Point Asymptotics for Ramanujan's Entire Function $A_q(z)$ Curved Kakeya problems and the projective geometry of paths Almost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrum Limit...
凝集方程式と正交多項式と力学系 - 2026/7/30の論文10本 30.07.2026 17:42
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/2026-07-30/ Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis A Mixed-Resonance Counterexample to the Lukic Conjecture Hold...
非局所勾配とエルミート演算子と多項式 - 2026/7/29の論文8本 29.07.2026 14:42
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/2026-07-29/ A Lusin theorem for nonlocal gradients The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions The Winding Number at the Critical H\"older Exponent 1/3: Failure of Universal Fourier Summation Multi-Parameter Exponential Sums with Product Hilbert Kernels An...
スペクトルと測度と関数解析 - 2026/7/28の論文15本 28.07.2026 26:29
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/2026-07-28/ Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra $L^p$-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures on the Sierpinski Gasket Weak-$A_\infty$ packing and estimates for fractional sparse forms on spaces of homogeneous type Spec...
不等式と関数空間とフーリエ解析 - 2026/7/27の論文9本 27.07.2026 16:12
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/2026-07-27/ Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approach Bourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real Line Dual spaces and T1 theorem of variable Dunkl--Hardy spaces Variable Hardy spaces in the Dunkl...
スペクトル集合と乗数と極値関数と族と固有関数 - 2026/7/24の論文5本 24.07.2026 9:21
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/2026-07-24/ A characterization of compact open spectral sets in $\mathbb{Q}_p^d$ Endpoint estimates for multiparameter multipliers of Marcinkiewicz type Extremal Functions and Widom Factors on Compact Riemann Surfaces The Frankl--Tokushige product conjectures for $r$-cross-intersecting f...
カントール集合とヒルベルト変換と多項式 - 2026/7/23の論文6本 23.07.2026 10:59
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/2026-07-23/ Dimension drop for intersections of Cantor sets Rough averages of triangular Hilbert transforms A solution to Meneguette's polynomial problem Pinned nonempty interior and volumes of simplices The missing two-point inequality in Weissler's conjecture Binomial probabilities at...
二項分布と分数と正則関数とカオス - 2026/7/22の論文7本 22.07.2026 12:40
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/2026-07-22/ Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Minkowski dimension and content of complex continued fractions Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type Optimal concentration...
調和解析と特異積分と幾何学的測度 - 2026/7/21の論文13本 21.07.2026 22:46
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/2026-07-21/ Interactions between quantitative rectifiability, singular integrals, and boundary value problems for harmonic functions Properties of two Chebyshev-like polynomial sequences Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice...
関数と測度と積分と推定 - 2026/7/20の論文13本 20.07.2026 22:36
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/2026-07-20/ Theory and Computation of Discrete Sturm--Liouville Problems on Non-Uniform Grids via the Pr\"ufer Transformation On the parabolic $H^p$ theory generated by $(p,\infty)$-atoms for $0
シューア乗数と自己アフィン集合とカケヤ集合 - 2026/7/17の論文7本 17.07.2026 12:52
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/2026-07-17/ Towards a characterization of idempotent Schur multipliers Projections of self-affine sets onto lines A construction of Kakeya Sets in Arbitrary Dimension Approximation of solutions of the sinh-Gordon equation $\Delta u -\sinh(2u)=0$ by hyperbolic orthogonal ring patterns Aut...
フーリエ制限と近似とレベルセット - 2026/7/16の論文5本 16.07.2026 9:26
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/2026-07-16/ Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloid The exact $L_1$-norm supremum of Walsh--Kaczmarz--Fej\'er kernels Quantitative Fourier Restriction Estimates for Weyl Operators: Fourier-Support Dependence and Lower Bounds Dynamic Universal Ap...
直交多項式と調和和と生成関数 - 2026/7/15の論文3本 15.07.2026 5:32
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/2026-07-15/ On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomials Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums Curious identities involving Legendre polynomials and Ap\'er...
関数と不等式と不変量と解析的評価 - 2026/7/14の論文13本 14.07.2026 22:02
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/2026-07-14/ Riccati type recursions for some infinite series involving zeros of Bessel functions of the first kind Determinacy Witnesses in the Completely Monotone--Stieltjes--Bernstein Hierarchy From weighted paraboloid restriction to $k$-stars and distance graphs Sharp higher order re...
積分と近似と超楕円と級数 - 2026/7/13の論文7本 13.07.2026 12:38
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/2026-07-13/ Integrability of a composition of functions Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Quartic Fourier-Laplace limits for $(p,q)$-Rogers-Szeg\H{o} polynomials Sharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Ope...
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 16:39
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 6:57
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 10:11
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 30:33
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 20:35
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 16:12
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 16:02
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...
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