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プレプリどんどん: math.CA
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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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近似と輸送と測度と関数空間 - 2026/6/16の論文17本
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-PolynomialsRational approximation to the Hurwitz-Lerch zeta functionThe Opdam-Cherednik kernel is the Laplace transform of a positive measureA universal support theorem for 1-Wasserstein optimal transportFrom Fractional to Set Tilings for Pairs of LatticesThe Lagrange Inversion Theorem with Limited SmoothnessOn the validity of Tonelli's TheoremA Note on an Approximate Fixed Point Theorem for $\operatorname{VMO}$ MapsA remark on Kolmogorov's theoremPurely unrectifiable sets, fractal percolation and graphs of functionsDecoupling and Discrete Strichartz Estimates for Dispersive Equations on the TorusOn the relationship between block spaces and Orlicz spacesRestriction estimates for surfaces with negative curvature in $\mathbb R^3$Loewner chains with multiple boundary attraction points: A construction via close-to-convex functionsMaximal Ergodic Theorems for Operators with Finite Peripheral SpectrumOn the Bloch--Carleson measure problemsA Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels
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フーリエ級数と有理関数と演算子 - 2026/6/15の論文5本
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 sumsA 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 operatorsLocal convergence of Sussmann's infinite product for analytic vector fieldsAn explicit formula for Koornwinder moments and Rains' positivity conjecture
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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
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 theoremAn Oskolkov--Zhizhiashvili Criterion for Rectangular Fourier SumsThe (local) geometry of oscillatory integrals on manifolds: Dimension threeOn Almgren's Multiple-valued Functions of Class 1Quantitative flatness and obstructions in Fourier analysisPathwise integration beyond Young via Faber--Schauder energy spacesDimension-free Markov--Bernstein inequalities for product measuresLimitations of Learning Tanh Neural Networks with Finite PrecisionAnalytic approaches to perturbations of strongly coupled Yang-Mills plasma
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ブランナン係数とヒル関数 - 2026/6/11の論文2本
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 approximationsSharpness characterizes Hill functions
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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
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 TheoriesClock spacing for two-sided Jacobi matricesTwo Integral Sliding-Window Inequalities for Maximal Convolutions
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不等式と関数空間と測度論 - 2026/6/9の論文16本
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 ProcessesFrom generalized Poincar\'e to Poincar\'e-Sobolev inequalities via self-improving methodsWeighted Hardy Inequality in $l_2$On the Constant and Extremal Function for Weighted Hardy Inequality in $L_p$The Distance for Functions in BMO to BLONon-unique solutions to the periodic gKdV equationExplicit bounds for Dickman's functionEffective quasianalytic Remez inequalities on tame setsOn chain rule and renormalizationRestriction estimates for toral eigenfunctions and lattice points in spherical regionsAlgebraic Hodge generic points are denseA non-testing characterization of bounded and compact composition operators on $\mathcal Q_p$ spacesQuantization of measures in Carnot groupsThe $L^p$ Neumann problem for parabolic operators with coefficients satisfying small Carleson conditionFourier transform of nonlinear images of self-similar measures: qualitative aspectsPathological function spaces and an unsolved Analysis I problem
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多項式と調和解析と幾何学的構造 - 2026/6/8の論文9本
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 SequencesConvergence of sparse square-summable NLFTThe Sidon Decomposition Problem in Abelian Groups of Bounded TorsionDiscrepancy estimates for multi-dimensional non-smooth convex bodies: a case studyFourier restriction estimates based on $L^q$-dimensions: beyond Stein--TomasDiscrete analogues in harmonic analysis: $TT^*$ methodsDynamics and structure of pull-in and touchdown behavior in parallel-plate electrostatic MEMS actuators via geometric approachesVisible parts and lower bounds on point-ray incidencesMulti-scale properties of continued fraction sets
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射影と多項式と変換と分岐と散乱 - 2026/6/5の論文7本
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 $1On the Macdonald-type function and its relation with index transforms and orthogonal polynomialsThe Sharp Sadov Constant and Local Spectral Stability for Shapiro--Diananda Cyclic SumsOn the revolving structure of the L\'evy dragon and its linear transformsThe Ize Conjecture Redux: A Parity Criterion for Global Equivariant Bifurcation GuaranteesAlgebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulationLarge data scattering for the defocusing $k$-dispersion generalized Benjamin-Ono equation in the energy space
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直交多項式と準解析関数と量子群 - 2026/6/4の論文7本
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 regionsFrom local to global asymptotic behaviour of orthogonal polynomialsMedian porosity is quasiconformally invariantStokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$Uniqueness results for quasi-analytic functions on compact Lie groups and homogeneous spacesQuantitative uniqueness properties for functions on compact quasi-analytic manifoldsGaussian decay for the Harmonic oscillator
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不等式と調和解析とリッチソリトン - 2026/6/3の論文7本
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-LengthMaximal inequalities for derivatives of spherical meansOptimal constants of smoothing estimates for quantum harmonic oscillatorsMultiple Orthogonal Polynomials on the Ball and Radial ExtensionsOn the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applicationsWeighted variational inequalities for the fractional Dunkl heat semigroupCylindrical generalized Ricci solitons in three dimensions
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凸性と関数近似と多項式と積分 - 2026/6/2の論文12本
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 functionsA Quantified Two-projection Theorem for Nonlinear ProjectionsChamber lifting and non-radial Dunkl multipliersConstructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz InequalitiesMultilinear extrapolation of compactness on mixed-norm spacesSharp sign uncertainty for trigonometric polynomialsMehler formula for Wronskians of Hermite polynomialsFurther evidence towards the Fourier Entropy-Influence conjectureEmpirical Approximation of $L_p$ NormsOn a Local Radial Rigidity Phenomenon of Elliptic Systems on Riemannian ManifoldsFrames of orbits of multiplication operators on Hardy spaces$q$-Selberg extensions of Gasper's two stage $q$-beta integrals
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不等式と自由確率論 - 2026/6/1の論文3本
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 integralsA 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
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正交多項式とスペクトルと不等式 - 2026/5/29の論文9本
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 nilmanifoldThe manufacture of examples: the $(-1)$-classical orthogonal polynomialsWhere not to find the spectrum of the partial theta functionComplex spectrum of the partial theta functionOn hyperbolic corners and unit-area triangles in planar sets of large measureThe sharp log Sobolev inequality on finite cyclesAsymptotics of the Number of Components of Random Polynomial LemniscatesFractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spacesOn the WALA conjecture, Alberti representations and applications
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直交多項式と近似と不等式と偏極化 - 2026/5/28の論文5本
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 PolynomialsPositive Measure of Unions of Variable SurfacesSimultaneous approximation properties of a certain genuine hybrid type operatorImprovement of a Hardy-Littlewood inequality and applications to the boundedness of analytic paraproducts on mixed norm spacesA solution to the polarization problem
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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
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 equationsOn a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functionsA Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ODE/IM Correspondence at the Free-Fermion Point. Laguerre Wronskians, Shifted Symmetric Functions, and Quantum KdVUncertainty Principles, Spectral Localization, and Singular Schr\"odinger Operators on Compact ManifoldsA Unified Range Characterization for the Spherical mean transformA Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary ConditionsWeighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces
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調和解析と関数空間と不等式 - 2026/5/26の論文15本
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 parabolaOn potentials of distributions in Orlicz-Hardy type spaces on the Heisenberg groupPointwise behavior of SU(1,1) nonlinear Fourier transformOptimal discrete $p$-Hardy-Rellich-Birman inequalitiesDiscriminants of derivatives and symmetric difference polynomialsCalderon-type commutators and chamber lifting in the Dunkl settingSparse domination of Calder\'on--Zygmund operators by mean oscillationsWell-poised basic q-Taylor expansions with complementary remainders and a two-basis kernelLattice point counting problems on step-two nilpotent Lie groupsSpecular differentiation in normed vector spaces: Quasi-Mean Value and Quasi-Fermat TheoremsA Closed Form for the Chord-Power Integral I_2 of a TriangleDegenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by BrezisA Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minorsThe indicator diagram theory for maximal type entire functions and the characterization of analytic continuabilityUniform heat kernel asymptotics for the Grushin operator
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パウリ対と直交多項式と結晶測度 - 2026/5/25の論文3本
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/2026-05-25/Discrete Pauli pairsOn a general method for deriving a fourth-order differential equation satisfied by Laguerre-Hahn orthogonal polynomials with new results for the class 0 analogous to HermiteOn almost periodicity in crystalline measures
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フーリエ解析と不変量と不動点定理 - 2026/5/22の論文6本
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/2026-05-22/Fourier analytic variants of the Furstenberg and Kakeya problemsDiscrepancy of determinantal point processes on compact, connected two-point homogeneous spacesOn volumes of simplices in intermediate dimensionsA conjecture for arithmetic spherical maximal functionsBoundedness of the Hardy-Littlewood maximal operator on generalized fofana spacesHybrid and Component-wise Leggett-Williams type Fixed Point Theorems in Product Spaces with Applications
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ベッセル関数とフラクタルと Hardy 空間 - 2026/5/21の論文5本
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/2026-05-21/Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel FunctionsBrascamp--Lieb inequalities for fractal dimensions$L^2$-Stability for STFT phase retrievalAtomic Characterization and Its Applications of Matrix-Weighted Variable Hardy SpacesModified Painlev\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees
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分数積分と乗数とフーリエ拡張 - 2026/5/20の論文6本
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/2026-05-20/Some new estimates for generalized fractional integrals associated with operators on Morrey spacesThe bilinear cone multiplier on $\mathbb{R}^2\times \mathbb{R}^2$The Poisson Matrix $\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transformThe Law of the iterated logaritm for smooth functionsA discussion of two new proofs of Fefferman's Fourier extension theorem in the planeStability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework
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バナッハ空間と特異積分とガボール基底 - 2026/5/19の論文7本
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/2026-05-19/A Banach space that distinguishes two maximal operatorsOn singular integrals with non-negative kernels in the Heisenberg groupGabor unconditional bases and frames in $L^p(\mathbb{R})$Sharp Estimates for Conjugate Functions with Applications to Trigonometric PolynomialsWhat lies between polynomial and exponential growth?On the spectra of Cantor measuresZero correlations and averaged fields of orthonormal Gaussian functions
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誤差評価と凸多面体とディオファントス近似 - 2026/5/18の論文4本
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/2026-05-18/Generalized Error Bounds in the Recovery of Solitary Wave ProfilesProjections of convex polytopes to a line and higher univariate Prony systemsA Weyl-type theorem for Diophantine approximations driven by LCA groups and applicationsArea of H\"older curves and coarea formula on the Heisenberg group
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補間と多項式と埋め込みと作用素 - 2026/5/15の論文5本
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/2026-05-15/Optimal $C^{1,1}$ and Quasi-Optimal $C^2$ Monotone Interpolation with Curvature ControlDarboux-type formula for Jacobi biorthogonal polynomialsCompact Embedding Theorem Associated with Classical Weight {Functions} in Two VariablesA new proof of maximal theorem on Heisenberg groupsBilinear embedding for divergence-form operators with first-order terms and negative potentials
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関数空間とエネルギーと重みと近似 - 2026/5/14の論文7本
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/2026-05-14/Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg GroupComplex methods in the asymptotics of M\"obius energy integrals of helix curvesVariable Muckenhoupt $A_\infty$ WeightsTriebel-Lizorkin spaces and expansive matricesGalerkin Approximation of the Fractional Sobolev ConstantLarge values of shifted mixed character sumsSuperharmonically Weighted Dirichlet Spaces
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多線形形式と距離グラフ - 2026/5/13の論文1本
arXiv math.CAの新着論文1本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-13/$\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs
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不等式と推定と関数解析 - 2026/5/12の論文10本
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/2026-05-12/Isoperimetric Inequality for degenerate elliptic operators of Grushin typeStrichartz estimates for orthonormal systems on compact manifolds: the non-sharp regionSharpness of convolution bounds for measuresMultilinear multiplier theorems and their applications to the Jacobian and the Hessian determinantOn the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distributionOn the rational solutions of generalized Abel equationsLocal Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized HessiansRecent progress of Littlewood-paley Theory with chirp functionConcentration effects and $\Gamma$-limit for the elastica functional for open and closed curvesThe norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$
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テータ関数と直交多項式とブラウン運動 - 2026/5/11の論文5本
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/2026-05-11/On ratios of theta functionsDyadic Martingale Transforms and Weighted Walsh-Carleson OperatorsHermite expansions of functions from the weighted Hardy classOrthogonal Polynomials, a Szeg\H{o}--Verblunsky Theorem and Baxter's Theorem on the Quaternionic SphereBrownian-time Change of measure
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ノルムと極限サイクルとフーリエ係数 - 2026/5/8の論文6本
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/2026-05-08/Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectorsFinitude of Limit Cycles of Linear Piecewise ODEs in the CylinderFourier coefficients of continuous functions with sparse spectrumConvexity of the embedding parameter sets of some analytic function spacesAccessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocksA multidimensional Szemer\'{e}di theorem in integers
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関数と不等式と動的系と級数 - 2026/5/7の論文12本
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/2026-05-07/Radial Integration in Continuous Dimension: A Mellin-Gamma Classification of Euclidean Ball VolumeOn maximal functions associated with planar vector fieldsEnergy-minimizing measures supported near fractal 1-setsde la Vall\'ee Poussin Means of Walsh-Fourier ExpansionsAlmost Everywhere Convergence of Arithmetic Means of Walsh--Fourier Partial Sums Along SubsequencesOn Characterizations of (Almost) Strictly Convex FunctionsOn Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomialsAlmost-Orthogonality in Lp Spaces: A Case Study with GrokSmooth linearization of nonautonomous dynamics under general dichotomic behaviourNon-uniqueness for a differential equation and a proof by ChatGPTTheta functions and transformations of bilateral basic hypergeometric seriesGrokability in five inequalities
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レヴィ曲線と漸近解析と不確定性原理 - 2026/5/6の論文5本
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/2026-05-06/Shifted L\'evy's Dragon Curve and Directed GraphA novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formulaA discrete Hardy uncertainty principleExact ReLU realization of tensor-product refinement iteratesTwo Regularized Determinants of Laplacian through Resurgence theory
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q-Heun方程式と自己相似集合 - 2026/5/5の論文9本
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/2026-05-05/Special Solutions of $q$-Heun Equation by $q$-Integral TransformationsExact Loop Controllers for ReLU Realization of Homogeneous Curve RefinementsThe strong version of nonlinear Carleson conjecture failsInhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systemsWeighted decoupling with lower-dimensional frequency localizationTime-periodic carrying simplex for a competitive system of Carath\'eodory ODEsHow Thick Is the Sierpi\'nski Triangle?A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumerationSelf-similarity of unions of self-similar sets and their translations
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最適制御と準線形偏微分方程式 - 2026/5/4の論文2本
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/2026-05-04/A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and SubdifferentialsExistence and uniqueness of weak solutions to quasilinear PDEs with critical data
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非線形パルスと約数関数と多項式 - 2026/5/1の論文3本
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/2026-05-01/Propagation of nonlinear pulses near diffractive points of any orderA divisor function of Wigert and higher degree formsG\r{a}rding Polynomials
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フーリエ変換と特異積分と力学系 - 2026/4/30の論文10本
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/2026-04-30/Uncertainty Principle for distributions with Fourier transform in $L_{p,q}(\mathbb{R}^d)$Compactness of bilinear singular integral with mild kernel regularityBlend-to-zero operators for smooth transition functionsNon-symmetrically $t$-affine functions revisitedQuasi graph-additive functions with a prescribed branchFractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal PolynomialsLimit cycles in piecewise smooth systems with circular switching manifoldSpectral Selection in Symmetric Self-Attention DynamicsRecovering Product BMO from Schatten Hankel operatorsWeighted Linearization of Vector Fields via a Formal Moser Trick
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調和解析と多項式と特異積分と推定 - 2026/4/29の論文10本
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 TopicsThe smoothest average and some extremal problems for polynomialsWeighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernelsQuantitative estimates for the absolute convergence of wavelet-type seriesA curved three-point pattern problem for fractal sets on the real lineInterlacing of zeros of polynomials completed with two additional pointsAsymptotically sharp embedding of $A_\infty$ into $A_p$ for flat weights and applications to Poincar\'e-Sobolev inequalitiesRelocation without preference: A destination-agnostic Schelling-type metapopulation modelBoundary estimates for the fractional spherical maximal functionSharp Strichartz estimate for the 1D periodic Schr\"odinger equation
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最大作用素と関数方程式と行列式 - 2026/4/28の論文4本
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 operatorsA Six-Term Functional Equation and a Quartic Dilogarithm LadderA determinant identity for the sum of contour integral matrices
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積分演算子とハミルトン系と多項式 - 2026/4/27の論文7本
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 equationsA note on the sum-product problem for fractal setsSkew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomialsContinuity properties of strongly singular integral operators for extreme values of $p$Existence of a periodic solution for superquadratic Hamiltonian systems with possible finite-time blow-upAlgebraic methods in periodic singular Liouville equations$A_\infty$-invariance of oscillatory norms, and Schatten characterisations of commutators
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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
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 ConvolutionsDimension Drop for Harmonic Measure on Ahlfors Regular Boundaries$A^p_\alpha$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak productsA theory of generalized Lam\'e curves
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固有値と模形式とリボン - 2026/4/23の論文3本
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 matricesOn Uniqueness of Mock Theta FunctionsOn the Sadowsky functional for anisotropic ribbons
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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
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 theoremMultiparameter Marcinkiewicz integrals and a resonance theoremOn Fourier decay and the distance set problemBoundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order
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27
次元と密度とトレース定理と演算子 - 2026/4/21の論文9本
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 measuresCounterexamples for lacunary dilates via dyadic spike blocksNear-optimal density theorems for large dilates of large point configurationsThe Adams trace theorem for product Morrey spacesRado's covering problem for cubes and balls: a semi-surveyPointwise character bounds for $\mathrm{SU}(3)$The Kerman-Sawyer trace theorem for product Morrey spacesMultilinear embedding theorem for fractional sparse operatorsWave operators for Jacobi matrices
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26
不確定性原理と境界コホモロジー - 2026/4/20の論文3本
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 potentialsUniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopesBounded cohomology classes from differential forms
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エネルギーと差分方程式と不等式 - 2026/4/17の論文7本
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 KernelsOn the orthogonality of solutions for higher-order non-Hermitian difference equationsOn the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the BoundaryRestricted Projections to Hyperplanes in $\mathbb{R}^n$Uniform volume estimates and maximal functions on generalized Heisenberg-type groupsArithmetic functions and learning theoryOn Certain Pfaffians Connected with the Inverse Problem for Collinear Central Configurations
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24
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
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 structuresOn the Hausdorff dimension of graph of random vector-valued Weierstrass functionOn the discrete Painlev\'e equivalence problem, non-conjugate translations and nodal curvesContractive analytic self-mappings of the discCoagulation equations with particle emission
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エネルギーと固有値とラプラシアン - 2026/4/15の論文5本
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 circleAn eigenvalue result for Neumann BVPs with functional termsParabolic weak porosity and parabolic Muckenhoupt distance functionsOn the Pointwise Convergence of Solutions to the Schr\"odinger Equation Along Certain Highly Tangential CurvesUniqueness and non-uniqueness pairs for the fractional Laplacian
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22
ボルツェラとWKBとシュタッテン - 2026/4/14の論文13本
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 dimensionsVolterra periodic chainWeighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equationOn the non-uniqueness of continuous solutions to differential equations with a discrete state-dependent delayGeronimus transformation and Sobolev-type orthogonal polynomialsAnother approach to WKB analysisIsotropic Positive Definite Functions on SpheresA generalization of Reifenberg's theorem in R^N for flat conesComplex analytic theory of Sturm-Liouville operators with Schatten $p$-class resolventsLagrangian formulation and Eulerian closure in alignment dynamicsRigidity in the Planar Ulam Floating Body Problem with perimetral density $\sigma=\tfrac16$Scattering for the Klein-Gordon-Schr\"odinger system in three dimensions with radial dataFeynman's linear divergence problem
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21
DunklとSingularとMart - 2026/4/13の論文3本
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 lineP\'olya's shire theorem for a class of functions with essential singularitiesCotlar martingale transforms and related singular integrals
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20
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
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 KernelsAn Efficient Entropy Flow on Weighted Graphs: Theory and ApplicationsThe two-weight fractional Poincar\'e-Sobolev sandwichThe Boolean surface area of polynomial threshold functions
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19
定量的ベウルンガーと曲線と正規化 - 2026/4/9の論文3本
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 TheoremCurves of tangencies of foliation pairs and normalizing transformationsBourgain-Brezis-Mironescu formula for Riesz Potentials
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18
部分θ関数と幾何的解析とDunkl変換 - 2026/4/8の論文5本
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 functionFrom curvature to Kovacic: a geometric approach to integrability of scalar ODEsProjections of sets with optimal oracles onto $k$-planesExplicit Formulas for the One-Parameter Group Generated by the Dunkl Operator on $\mathbb{R}$A Generalized Fourier Transform and a Smooth Analogue of Dunkl Operators
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