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
不等式と推定と直交多項式と素数 - 2026/9/10の論文9本 10.09.2026 16:58
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/2026-09-10/ Mockenhaupt's Three-Term Hardy-Littlewood Majorant Conjecture Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transforms Dimension-free estimates for the full discrete Euclidean ball maximal function Loomis-Whitney inequ...
スペクトルとカケヤ集合と直交多項式 - 2026/9/9の論文29本 09.09.2026 51:13
arXiv math. CAの新着論文29本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-09/ Characterization on spectra of self-similar measures and the dual spectral set conjecture Regular closed gradient ranges and asymptotic gradient values A solution to the Erd\H{o}s Problem #1040 Terminating Zero-Balanced Hypergeometric Series Using Divided Differences Exact A...
最大関数とスペクトルと漸近解析 - 2026/9/7の論文6本 07.09.2026 10:39
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/2026-09-07/ Bourgain's proof of the circular maximal theorem: an exposition Primes are Complete for a Class of $N$-Bernoulli Convolutions Spectral Pair On the spectrality of the non-homogeneous golden-mean self-similar measure A Log-Free $n^{1/5}$ Bound for Chowla's Cosine Problem The we...
q-Painlevéと局在化と特異積分 - 2026/9/4の論文8本 04.09.2026 14:14
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/2026-09-04/ Reducibility of symmetry on $q$-Painlev\'e equations Certified Spherical MUSIC for 3D Localization under Adversarial Subspace Perturbations A thickness boundary and modular obstructions for two-set radial projections Sparse bounds for maximal rough singular integrals Hausdorf...
直交多項式と零点分布と熱核 - 2026/9/3の論文7本 03.09.2026 12:57
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/2026-09-03/ Orthogonal polynomials which are eigenfunctions of a partial differential operator A Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$ Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels Ratio and limiting zero distribution asymptotics for...
タイルと電位とフレームと境界値問題 - 2026/9/2の論文7本 02.09.2026 12:30
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/2026-09-02/ Translational tiles without spectra in finite abelian p-groups Critical points of point charge potentials along lines The frameset of the second-order B-Spline along $ab=1/q$ Asymptotic safety regions for Gabor frames generated by Hermite functions Colombo's Determinant Probl...
関数と多項式と作用素と測度 - 2026/9/1の論文25本 01.09.2026 44:31
arXiv math. CAの新着論文25本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-01/ Repairing the refined-decoupling proof of the 5/4 planar pinned Falconer theorem Minkowski sums with convex curves without pointwise Fourier decay Mesh-Degree Rigidity for Positive Chebyshev-Fourier Approximants On the measure of the boundary of a Haj\l{}asz-Sobolev $(M^{1,p...
直交多項式とベクトル場と格子点 - 2026/8/31の論文9本 31.08.2026 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/2026-08-31/ Mehler--Heine asymptotics for finite differences of mass-modified Charlier and Meixner polynomials Quantitative Uniqueness and Rough Damping on $\mathbb T^2$ Optimal polynomial meshes beyond geometric boundary regularity via Green sublevels A Sharp Capacity Gauge Solution to...
不等式と量子分散とエルゴード平均 - 2026/8/28の論文6本 28.08.2026 11:01
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/2026-08-28/ Microstructure evolution as a game Capacitary-Distance Hardy Inequality Optimal fractional discrete Hardy inequalities on the half-line A complex-analytic proof of square-restricted stable phase retrieval in Fock space A blueprint for the formalization of norm-variation of mu...
積分不等式と正定値関数とマルチンゲール - 2026/8/27の論文5本 27.08.2026 8:35
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/2026-08-27/ A sharpened Carlson's integral inequality Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions Bilinear Bochner--Riesz Means on the Complex Sphere Optimal differentiability of isotropic positive definite functions on eve...
不等式と最大作用素と近似とエルゴード論 - 2026/8/26の論文14本 26.08.2026 25:00
arXiv math. CAの新着論文14本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-26/ A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation Directional maximal operators in the plane Borell--Brascamp--Lieb inequality with finitely many output functions Functions with comparable integrals on all k-planes Optimal Hardy...
積分と測度と関数と幾何学 - 2026/8/25の論文24本 25.08.2026 41:19
arXiv math. CAの新着論文24本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-25/ Positive measure for restricted projections along smooth non-degenerate curves Endpoint orthonormal Strichartz estimates Gaussian beam Radon transform for tensor fields in $\mathbb{R}^2$ $L^p$-Estimates for maximal averages along mixed homogeneous hypersurfaces in $\mathbb{R...
直交多項式と不等式と関数解析 - 2026/8/24の論文5本 24.08.2026 8:50
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/2026-08-24/ Strong asymptotics for Jacobi-Pi\~neiro orthogonal polynomials Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights Anisotropic Bourgain--Brezis inequalities On the $p$-variation of Riemann's ''nondifferentiable'' function Space-filling surfaces...
MATH-CA - 2026/8/21の論文5本 21.08.2026 3:38
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/2026-08-21/ Product formulas for multivariate and matrix-variate confluent hypergeometric functions Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators Boundary-Weighted Fourier Inequalities for Convex Domains Genera...
非局所関数と多項式と曲率フロー - 2026/8/20の論文11本 20.08.2026 19:31
arXiv math. CAの新着論文11本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-20/ $\Gamma$-Convergence of Weak-Type Nonlocal Functionals on Bounded Domains Buffered Shading-Compatible Multiplicity Factoring in Four Dimensions Cellular Maximal-Density Factoring and a Repair of the Streamlined Three-Dimensional Kakeya Reduction Complexity-sensitive additive...
不等式と関数空間と多項式 - 2026/8/19の論文11本 19.08.2026 20:21
arXiv math. CAの新着論文11本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-19/ Sufficient Conditions for Strong Natural Boundaries involving Lacunary Sequences High-dimensional discrete 1-symmetric convex bodies and dimension-free estimates for maximal functions A four-way Szeg\H{o} theorem for $L^p$ extremal polynomials on subsets of $\mathbb R$ Prope...
関数空間と不等式と漸近展開 - 2026/8/18の論文19本 18.08.2026 33:43
arXiv math. CAの新着論文19本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-18/ Wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0 < p \le 1$, with exact $L^2$ convergence, and the maximal class of admissible functions for Goldberg-type splittings Arithmetic-progression gap sets in Cantor sets Fractal Uncertainty and Quantitative Unique...
調和写像とフーリエ級数とカケヤ集合 - 2026/8/17の論文7本 17.08.2026 13:30
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/2026-08-17/ Transversal H\"older Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic Mappings Cesaro Means along Polynomial Subsequences of Fourier Partial Sums at Lebesgue Points Sharp refined-direction Kakeya estimates in finite Heisenberg groups Extremal functions a...
多項式と次元と重みと軌道 - 2026/8/14の論文9本 14.08.2026 16:32
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/2026-08-14/ Lommel polynomials and explicitly solvable prediction problems on the unit circle Conformal Dimension of Measures and Quasisymmetric Dimension Reduction Parabolic BMO, Parabolic Muckenhoupt Classes, and Parabolic Reverse H\"older Classes with Time Lag Mixed Weak type inequali...
カケヤ集合とエネルギー問題と不等式 - 2026/8/13の論文8本 13.08.2026 14:49
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/2026-08-13/ Kakeya sets and dimension compression in compact Lie groups On Constrained Riesz Minimum Energy Problems On the optimal constant in the Montgomery-Vaughan weighted Hilbert inequality Near optimal three-fold additive energy bound for points on convex curves The 196560 auxiliar...
フーリエ級数と射影と次元と不等式 - 2026/8/12の論文9本 12.08.2026 16:47
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/2026-08-12/ Almost everywhere convergence of subsequences of Walsh-N\"orlund means Classification of Fourier summation formulas on a horizontal strip Applications of Nonlinear Projections to Rectifiable 1-sets Finite Good Witnesses for Generalized Curve Projections at the Rectifiable End...
正交多項式と測度と鋭い評価 - 2026/8/11の論文19本 11.08.2026 33:37
arXiv math. CAの新着論文19本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-11/ An intrinsically subcritical four-point counterexample Random Bernoulli measures in a random environment A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures A Riemann-Hilbert representatio...
不等式と位相回復とシュレディンガー演算子 - 2026/8/10の論文3本 10.08.2026 5:52
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/2026-08-10/ Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces Nineteen vectors and a certificate of their phase-retrieval injectivity in $\mathbb{C}^6$ Maximal estimates for perturbations of the Schr\"odinger operator on $\math...
直交多項式と振動積分と正則性 - 2026/8/7の論文5本 07.08.2026 9:25
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/2026-08-07/ Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights Degree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomials Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases On number of cyclic $n...
ベルンシュタイン基底とガボールフレーム - 2026/8/6の論文6本 06.08.2026 11:08
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/2026-08-06/ Bernstein-type bases on $q$-quadratic lattices and Askey--Wilson\slash $q$-Racah connection coefficients Preservation of Positive-Definiteness by Bernstein Operators on the Circle Two absolutely bounded determinantal ratios A Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$...
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