プレプリどんどん: math.CA

40 Episodes
Subscribe

By: プレプリどんどん編集部

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)

✂️ Clip this podcast
MATH-CA - 2026/9/25の論文14本
Last Friday at 5:00 AM

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/2026-09-25/

Endpoint Riesz transforms on normalized graphsOn the Alzer-Berg problem: an optimal Bernstein boundary and a uniqueness conjectureSharp power-mean comparisons for Gauss hypergeometric functionsSpectral eigenvalue problem of Cantor measures and Artin's primitive root conjectureThe ultraspherical background of the Jacobi phase expansion, in closed formCritical Hausdorff Measure for Higher-Dimensional Bedford-McMullen SubshiftsForm domination and tent space estimates for operators on the half-spaceSharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distributionMethod I revisited: extension, continuity, and applicationsHausdorff-Young inequalities for $\mathrm{SU}(1,1)$ Fourier product...


MATH-CA - 2026/9/24の論文19本
Last Thursday at 5:00 AM

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/2026-09-24/

On $C^k$ convex variants of Stein's Weighted $L^2$ Conjecture for Bochner-Riesz meansSpectrality of Weighted Measures on Two Line SegmentsSpherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformationsSparse bounds and joint oscillation for bilinear rough commutatorsOn the Central Maximal Function in $\mathbb{R}^n$A set of points with optimal $L^2$ spherical cap discrepancyThe weak-type $(1,1)$ estimates for wave equation on $ax+b$ groupsA minimal HRT counterexample at the sharp Gelfand--Shilov thresholdDerivatives of Theta Functions and a Problem of Lyubarskii and NesThe critical mixed-arithmetic four-point HRT theore...


MATH-CA - 2026/9/23の論文13本
Last Wednesday at 5:00 AM

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/2026-09-23/

A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass pointSpectral synthesis with the complexity parameter in $\mathbb{Z}_N^d$Dynamical Sampling in Graph Paley--Wiener SpacesMatrix Continued Fractions from Bidiagonal FactorizationsHypergeometric Mixed-Type Multiple Orthogonal PolynomialsDunkl theory, convolution algebras, and related Markov processesVoltage and current density in a rectangle with point in- and ejection via Green's functions and $q$-analysisExponential improvements in Rado's covering problemThe dHYM equation on crepant resolutions of Calabi-Yau conesCompact sets in Banach lattices over spaces of homogeneous typeBasic Reproduction Ratios for Almo...


MATH-CA - 2026/9/22の論文22本
Last Tuesday at 5:00 AM

arXiv math.CAの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-22/

Rectifiability of the straight visible boundary and the limits of segment-based Hardy criteriaP-adic Curved Kakeya Sets, Projection Theorem and Covering NumbersA new type of deterministic Salem sets and its spectrality$P$-adic $s$-energy and Fourier dimensionOn higher-order differential equations for Laguerre-Hahn orthogonal polynomialsOn the Rajchman property of homogeneous self-affine measuresThe Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifoldsEndpoint estimates for commutators of singular integral operators associated with admissible functionsEndpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-SpaceThe Zygmund conjecture and Rey's exponential integ...


正則性と極限とリース変換と安定性 - 2026/9/21の論文12本
Last Monday at 5:00 AM

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/2026-09-21/

Super-g-H\"older Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes ClockSome freezing limits for Bessel functions and Bessel processes with drift of type $B_N$Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $SL(2,\mathbb{R})$ Conformal BlockA boundedness result for degenerate parabolic Riesz transforms with rough coefficientsAn Askey Scheme for Jacobi Systems of Mixed Type: Laguerre Limits of the First and Second Kinds and Hermite LimitsKakeya and Furstenberg problems for sticky sets of tubesAn $m^{2.943}$ Boh...


関数と測度と不等式と解析 - 2026/9/18の論文12本
09/18/2026

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/2026-09-18/

Complete Bernstein functions and scaled ultraspherical zerosRigorous analysis of giant magnetic vortex stringsProduct-profile anti-concentration for block-structured multi-affine polynomialsThe divergence set for the wave equation in higher dimensions$L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spacesUniversal completeness of exponentialsSumsets of Ahlfors--David regular setsHausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systemsA constructive approach to range characterization of spherical mean transform in odd dimensionsLocal Matrix Muckenhoupt Weights and Quantit...


関数と不等式と解析的推定 - 2026/9/17の論文14本
09/17/2026

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/2026-09-17/

Connection Formulae for a Generalised Ramanujan Entire FunctionThere are no Riesz bases of exponentials in balls and trianglesOn Kolmogorov's rearrangement problem and Garsia's conjectureCurved commutators in higher dimensionsMultilinear Mikhlin Multipliers with Degenerate SingularitiesRange Failure, Resolvent Growth, and Resonance in Partially Dissipative SystemsEndpoint eigenfunction restriction estimates in codimension twoSharp Strichartz estimates on the one-dimensional torusZeros of the Spectrogram of Colored Noise$p$-roughness of paths and invariance of $p$-th variationA Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau EquationOn Two Questions by Brezis et al Concerning the Critical Differen...


関数と有界性とスペクトルと特異解 - 2026/9/16の論文11本
09/16/2026

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/2026-09-16/

Completing the Meijer--Barnes $K$-function: the excluded case $N


多項式と最大作用素と関数空間 - 2026/9/15の論文22本
09/15/2026

arXiv math.CAの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-15/

A Lower Bound on the BlobPolynomial corners in finite fields beyond the distinct-degree caseFailure of the linear $A_2$ bound for the strong maximal operatorSpherical harmonics with maximal Lp norm growthNon-radial Dunkl multipliers at the $L^2$-Sobolev thresholdOn the weighted weak-type constant for the dyadic square functionThe `1/9'-problem for the $\varphi$-functionsOn the matrix $A_p$ conjectureErd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential ScaleCahn-Hilliard equation associated with hypergraphInvariant sets of the double Hilbert transformThe lower envelope of ultraspherical polynomialsSpherical maximal operators on rank one Riemannian symmetric space...


最大関数とマルチンゲールと重み付き評価 - 2026/9/14の論文17本
09/14/2026

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/2026-09-14/

Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz TransformsTrace-defect bounds for discrete Fourier concentration operatorsAn Elementary Proof of the Hambly-Lyons Uniqueness TheoremWeighted Endpoint Variational and Jump Inequalites for Rough Singular IntegralsThe norm of the centered Hardy--Littlewood maximal operatorBourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure boundsA weighted restriction estimate in $\mathbb R^2$Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probabilitySome extremal problem for martingale transforms. IIILittlewood-Paley Theory For Orthogonal Expansions Associated With Root SystemsHardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on I...


最大関数と容量と次元と不等式 - 2026/9/11の論文8本
09/11/2026

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/2026-09-11/

Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameterDimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheresOn the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $Riesz capacity ratios with negative exponentsShorter proof of dimension-free $L^p$ estimates for maximal Riesz transformsLiouville regular Jordan curvesA threshold for full packing dimension of H\"{o}lder images of sets and measuresGaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schr\"odinger Equation


不等式と推定と直交多項式と素数 - 2026/9/10の論文9本
09/10/2026

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/2026-09-10/

Mockenhaupt's Three-Term Hardy-Littlewood Majorant ConjectureOptimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transformsDimension-free estimates for the full discrete Euclidean ball maximal functionLoomis-Whitney inequalities on Reiter-Heisenberg groupsA proof of Askey's convexity conjecturePositivity and Asymptotics for Chenevier's Orthogonal PolynomialsPrimes with Restricted-Digit DifferencesWhen Finite Free Curves SplitWhitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carath\'eodory spaces


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

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 conjectureRegular closed gradient ranges and asymptotic gradient valuesA solution to the Erd\H{o}s Problem #1040Terminating Zero-Balanced Hypergeometric Series Using Divided DifferencesExact Asymptotics of the Multidimensional Nikolskii ConstantLifting curved Kakeya sets to linear Kakeya setsA counterexample to the Gowers $U^k$ uncertainty conjecture for $k\ge 6$Some constructions of restricted Kakeya setsAdmissible characterization in delay equations and robustness of exponential dichotomies against small-delay perturbationsTwo-parameter variational estimates for averages over toriBoundedness of Multilinear Hilbert Transforms Along Moment Curves...


最大関数とスペクトルと漸近解析 - 2026/9/7の論文6本
09/07/2026

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/2026-09-07/

Bourgain's proof of the circular maximal theorem: an expositionPrimes are Complete for a Class of $N$-Bernoulli Convolutions Spectral PairOn the spectrality of the non-homogeneous golden-mean self-similar measureA Log-Free $n^{1/5}$ Bound for Chowla's Cosine ProblemThe weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O(\sqrt{n} \log n)$Asymptotics for the $k$-Hessian Eigenvalue on the Unit Ball


q-Painlevéと局在化と特異積分 - 2026/9/4の論文8本
09/04/2026

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/2026-09-04/

Reducibility of symmetry on $q$-Painlev\'e equationsCertified Spherical MUSIC for 3D Localization under Adversarial Subspace PerturbationsA thickness boundary and modular obstructions for two-set radial projectionsSparse bounds for maximal rough singular integralsHausdorff--Choquet Angular Spaces and Weak-Type $(1,1)$ Bounds for Rough Maximal OperatorsEndpoint Estimates for Stein's Purely Quadratic Carleson OperatorOn the abstract approach to spectral constants: a proof of the Clou\^atre--Ostermann--Ransford conjectureThe finiteness conjecture for equilibria of electric fields generated by point charges of one sign


直交多項式と零点分布と熱核 - 2026/9/3の論文7本
09/03/2026

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/2026-09-03/

Orthogonal polynomials which are eigenfunctions of a partial differential operatorA Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$Sharp estimates for the Jacobi and trigonometric Dunkl heat kernelsRatio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomialsEstimating the number of real zeros of linear combinations of radicals of polynomialsThe frame set of the first Hermite functionPositivity loss in bandlimited spectral reproduction on spheres


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
09/02/2026

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/2026-09-02/

Translational tiles without spectra in finite abelian p-groupsCritical points of point charge potentials along linesThe frameset of the second-order B-Spline along $ab=1/q$Asymptotic safety regions for Gabor frames generated by Hermite functionsColombo's Determinant ProblemHigher-order Gaussian bounds for maximally subelliptic boundary value problemsThe Discrete $L_p$ Minkowski Problem for Negative $p$


関数と多項式と作用素と測度 - 2026/9/1の論文25本
09/01/2026

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 theoremMinkowski sums with convex curves without pointwise Fourier decayMesh-Degree Rigidity for Positive Chebyshev-Fourier ApproximantsOn the measure of the boundary of a Haj\l{}asz-Sobolev $(M^{1,p},M^{1,q})$-extension domainA Littlewood-Type Theorem for Harmonic Functions in Euclidean Half-SpacesAn Ellipse Criterion for Exact Nonuniqueness in the Planar Interior Radon ProblemMonodromy and Isomonodromy for Linear $q$-Difference Systems with Coefficient Matrix $Ax+B$Counterexamples for generalizations of the non-elliptic Schr\"{o}dinger maximal operatorOn the Coefficients of Hurwitz-Type Matrix PolynomialsSquare...


直交多項式とベクトル場と格子点 - 2026/8/31の論文9本
08/31/2026

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/2026-08-31/

Mehler--Heine asymptotics for finite differences of mass-modified Charlier and Meixner polynomialsQuantitative Uniqueness and Rough Damping on $\mathbb T^2$Optimal polynomial meshes beyond geometric boundary regularity via Green sublevelsA Sharp Capacity Gauge Solution to the Open Problem of Quasisymmetric Composition on $\mathcal{Q}_\alpha(\mathbb R^n)$Notices on a new functional identity and allied series transformationsA unified approach via Geronimus transformation to various types of orthogonal polynomialsHigher Order Structure along Nilpotent Eigendirections in Planar Vector FieldsLattice points in high-dimensional $\ell^q$ balls with small radiiCritical Gaussian Multiplicative


不等式と量子分散とエルゴード平均 - 2026/8/28の論文6本
08/28/2026

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/2026-08-28/

Microstructure evolution as a gameCapacitary-Distance Hardy InequalityOptimal fractional discrete Hardy inequalities on the half-lineA complex-analytic proof of square-restricted stable phase retrieval in Fock spaceA blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformationsArbitrarily Fast Quantum Dispersion in Long-Range Crystals


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
08/27/2026

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/2026-08-27/

A sharpened Carlson's integral inequalityExact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even DimensionsBilinear Bochner--Riesz Means on the Complex SphereOptimal differentiability of isotropic positive definite functions on even-dimensional spheresWeighted Estimation by Discrete-time Sparse Domination on Martingale Spaces


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
08/26/2026

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 formulationDirectional maximal operators in the planeBorell--Brascamp--Lieb inequality with finitely many output functionsFunctions with comparable integrals on all k-planesOptimal Hardy Inequalities for Random Walks on $\mathbb{Z}^2$On AAA approximants on an interval to Nevanlinna-Pick functions and P\'olya Frequency SeriesEvolution families and variation of constants formula for abstract functional differential equations with time-dependent infinite delaySparse domination implies convex body dominationPolynomial Ergodic Averages Along Short IntervalsCommon tiling functions with small supportStieltjes polynomial interpolationBMO Classification for Two-Dimensional Dunkl Newton and G...


積分と測度と関数と幾何学 - 2026/8/25の論文24本
08/25/2026

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 curvesEndpoint orthonormal Strichartz estimatesGaussian beam Radon transform for tensor fields in $\mathbb{R}^2$$L^p$-Estimates for maximal averages along mixed homogeneous hypersurfaces in $\mathbb{R}^{3}$Isotropic Positive Definite Functions on Spheres: Even-Dimensional Gneiting's ProblemThe H\"ormander--Bernhardsson function in higher dimensionsRotating needles in space: the road to the Kakeya conjecture, and why it mattersA criterion on weak type $(1,1)$ bound of rough singular integralsLocal Scaling and Dimension Distortion of Generalized Cantor FunctionsDistance preservers for Lobachevsky spaceThe Nikolskii Constant in Arbitrary DimensionCritica...


直交多項式と不等式と関数解析 - 2026/8/24の論文5本
08/24/2026

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/2026-08-24/

Strong asymptotics for Jacobi-Pi\~neiro orthogonal polynomialsTwo-weight commutators for the Bessel Riesz transform with Andersen--Kerman weightsAnisotropic Bourgain--Brezis inequalitiesOn the $p$-variation of Riemann's ''nondifferentiable'' functionSpace-filling surfaces: sharp H\"older continuous parameterizations from squares to cubes


MATH-CA - 2026/8/21の論文5本
08/21/2026

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/2026-08-21/

Product formulas for multivariate and matrix-variate confluent hypergeometric functionsFactorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel OperatorsBoundary-Weighted Fourier Inequalities for Convex DomainsGeneralized inverses of strictly monotone transformationsUniform weak type $(1,1)$ bounds for Riesz transforms on stratified Lie groups


非局所関数と多項式と曲率フロー - 2026/8/20の論文11本
08/20/2026

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 DomainsBuffered Shading-Compatible Multiplicity Factoring in Four DimensionsCellular Maximal-Density Factoring and a Repair of the Streamlined Three-Dimensional Kakeya ReductionComplexity-sensitive additive energy and off-diagonal Young inequalities on bounded-degree algebraic varietiesNorm bounds on Fourier series with polynomial spectra and constrained coefficientsThe Unfair 0-1 Polynomial Problem and High-Degree TrinomialsMean Value Estimates for a Real-Exponent Analogue of Waring's ProblemSemi-Discrete Linear Hyperbolic Curvature flowGaudin models for some classical multivariate distributionsFrom Erdos Problem 1154 to a Zero One Law for Turing IdealsSecond-Level Concavity of the Riemann $\Xi$ Kernel


不等式と関数空間と多項式 - 2026/8/19の論文11本
08/19/2026

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 SequencesHigh-dimensional discrete 1-symmetric convex bodies and dimension-free estimates for maximal functionsA four-way Szeg\H{o} theorem for $L^p$ extremal polynomials on subsets of $\mathbb R$Properties and applications of Lorentz--Muckenhoupt classesMixed-norm Brasamp-Lieb inequalitiesA dimension-free weak-type $(1,1)$ bound for the vector Riesz transform on $\mathbb{R}^n$Almost sure pointwise convergence for the 2D periodic quintic NLSRomanovski polynomials, Gegenbauer connections, and $\mathrm{su}(1,1)$ ladder structuresAlternating generalizations of Mizuno's product formula via modified gamma functionsSharp Quasi-Reverse Minkowski Inequality for Schatten NormsFailure of almost mo...


関数空間と不等式と漸近展開 - 2026/8/18の論文19本
08/18/2026

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 splittingsArithmetic-progression gap sets in Cantor setsFractal Uncertainty and Quantitative Uniqueness for the Fourier Bessel TransformWhittaker functions with one or both parameters large: simplified uniform asymptotic expansions involving Bessel and Airy functionsGeneralization for Poincar\'e--Sobolev inequalities with local weightsTur\'an problem on the union of three intervals of equal lengthNew Fej\'er-type Inequalities Related to Hermite-Hadamard-type Inequalities and Their ApplicationsThe Nikolskii constant in...


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
08/17/2026

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/2026-08-17/

Transversal H\"older Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic MappingsCesaro Means along Polynomial Subsequences of Fourier Partial Sums at Lebesgue PointsSharp refined-direction Kakeya estimates in finite Heisenberg groupsExtremal functions and zero sets for the Dirichlet spaceWoven weighted exponentialsA characterization of uniqueness of purely atomic finite measures with central Cantor set rangeNear diagonal additive energy bound for points on algebraic surfaces


多項式と次元と重みと軌道 - 2026/8/14の論文9本
08/14/2026

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/2026-08-14/

Lommel polynomials and explicitly solvable prediction problems on the unit circleConformal Dimension of Measures and Quasisymmetric Dimension ReductionParabolic BMO, Parabolic Muckenhoupt Classes, and Parabolic Reverse H\"older Classes with Time LagMixed Weak type inequalities for pairs of weights related to the Hardy-Littlewood maximal funcion, Calder\'on-Zygmund operators and their commutatorsChebyshev polynomials on a Jordan arcFourier-invariant functions with dense zero setsA conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measureThe Hayman--Wu constant is $\pi^2$Relative Periodic Orbits in the Gutzwiller-type Anisotropic Kepler Problem and $n$-bod


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
08/13/2026

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/2026-08-13/

Kakeya sets and dimension compression in compact Lie groupsOn Constrained Riesz Minimum Energy ProblemsOn the optimal constant in the Montgomery-Vaughan weighted Hilbert inequalityNear optimal three-fold additive energy bound for points on convex curvesThe 196560 auxiliary-function conjecture for the Leech latticeIsospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphereThe Corona Problem for Slice Holomorphic Functions via the Matrix Corona ProblemGrothendieck's theorem for Bessel sequences


フーリエ級数と射影と次元と不等式 - 2026/8/12の論文9本
08/12/2026

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/2026-08-12/

Almost everywhere convergence of subsequences of Walsh-N\"orlund meansClassification of Fourier summation formulas on a horizontal stripApplications of Nonlinear Projections to Rectifiable 1-setsFinite Good Witnesses for Generalized Curve Projections at the Rectifiable EndpointRemarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operatorSharp constants in the one-sided John-Nirenberg inequality for functions of bounded lower oscillationMatrix Szeg\H{o} Function and Matrix Orthogonal Polynomials for Multiple CutsA double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sumsOn the Assouad dimension


正交多項式と測度と鋭い評価 - 2026/8/11の論文19本
08/11/2026

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 counterexampleRandom Bernoulli measures in a random environmentA Study on Kakeya Needle Problem for $(n-1)$-Rectifiable SetAffine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's ConjecturesA Riemann-Hilbert representation for Sobolev orthogonal polynomialsGeneralized Freud weight, discrete Painlev\'{e} I hierarchy and full asymptotics of Hankel determinantsSharp $L^2$ Estimates for $(2+1)$-dimensional oscillatory integral operators with homogeneous binomial phasesStructure of Minimal Locally Concave FunctionsSharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical AveragesA new example of crystalline-type measure with unit masses and an application to tiling of the real line...


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
08/10/2026

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/2026-08-10/

Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target SpacesNineteen vectors and a certificate of their phase-retrieval injectivity in $\mathbb{C}^6$Maximal estimates for perturbations of the Schr\"odinger operator on $\mathbb{T}^d$


直交多項式と振動積分と正則性 - 2026/8/7の論文5本
08/07/2026

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/2026-08-07/

Asymptotics of Polynomials Orthogonal on an Interval with Varying WeightsDegree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomialsDecay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phasesOn number of cyclic $n$-roots and disjointness of Fourier supportsEffective Lagrangian regularity and the uniqueness threshold for random H\"older velocity fields


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
08/06/2026

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/2026-08-06/

Bernstein-type bases on $q$-quadratic lattices and Askey--Wilson\slash $q$-Racah connection coefficientsPreservation of Positive-Definiteness by Bernstein Operators on the CircleTwo absolutely bounded determinantal ratiosA Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding ConjectureGabor Frames of Totally Positive Functions: A Complete CharacterizationLinear dependence of time-frequency shifts of a Schwartz function


漸近解析と特殊関数と推定値 - 2026/8/5の論文8本
08/05/2026

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/2026-08-05/

Laplace Asymptotics near Stratified Minimum SetsAlgebraic defect and positive mother body measuresOn the endpoint estimate for discrete spherical average over sparse sequencesOptimized bounds for the product and the ratios of modified Bessel functionsMechanical Implications of the Teleportation of Rigid Extended Bodies from the Perspective of Classical Mechanics and MathematicsA solution to Crouzeix's conjectureStrichartz estimates for quasi-periodic functions on long time intervals: An arithmetic approachA Tau function for $q$-Painlev\'e VI as a Fredholm determinant


正則化と多項式と関数空間と不等式 - 2026/8/4の論文17本
08/04/2026

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/2026-08-04/

Minimizers of one-dimensional regularization problems with linear and nonlinear total variationOn an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit CirclBessel-Like Multiple Orthogonal Polynomials of Mixed TypePositive Bidiagonal Factorizations for Banded Markov ProcessesEvaluation of terminating and non-terminating sums containing the digamma functionDual boundedness of the maximal operator on concave Banach function spacesSharp weighted norm estimates for the positive Bergman operator: the two-parameter caseA proof of the Szeg\H{o} conjecture on Jacobi extremaSparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidityPoincar\'e inequ...


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
08/03/2026

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/2026-08-03/

From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's ProblemFavard length and generalized projectionsNonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approachPerturbed Dyadic Cubes and Quantitative Estimates for Schr\"odinger Operators with Potentials in $RH^{n/2}$Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications


漸近解析とフラクタルと近似理論 - 2026/7/31の論文9本
07/31/2026

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/2026-07-31/

Airy Turning-Point Asymptotics for Ramanujan's Entire Function $A_q(z)$Curved Kakeya problems and the projective geometry of pathsAlmost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrumLimit theorems for differential systems with multipoint boundary conditions in Sobolev spacesReflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domainsEmbedding $C(K)$ for countable $K$ into $C([0,1])$ as Besicovitch functionsApproximation by Kantorovich-type operators in general Banach spacesNew universality classes associated to fractalsEventually greedy best Egyptian underapproximations of rational number