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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フーリエ級数と射影と次元と不等式 - 2026/8/12の論文9本
Yesterday at 5:00 AM

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
Last Tuesday 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/2026-08-11/

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
Last Monday at 5:00 AM

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
Last Friday at 5:00 AM

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


凝集方程式と正交多項式と力学系 - 2026/7/30の論文10本
07/30/2026

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/2026-07-30/

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation EquationAsymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axisA Mixed-Resonance Counterexample to the Lukic ConjectureHolder regularity of Hartman-Grobman theorem on vector bundleAppell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes boundsDynamical phase retrieval for Schr{\"o}dinger evolution on finite graphsOn the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg groupWeak geometric lemma for ADR boundary of a uniform domain implies uniform rectifiabilityThe HRT...


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
07/29/2026

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/2026-07-29/

A Lusin theorem for nonlocal gradientsThe Endpoint Eigenfunction Bound for the Hermite Operator in Two DimensionsThe Winding Number at the Critical H\"older Exponent 1/3: Failure of Universal Fourier SummationMulti-Parameter Exponential Sums with Product Hilbert KernelsAn antichain approach to a conjecture of ZygmundMimicking diffusion processes with differential equationsJacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifoldsP\'olya's Conjecture for the Neumann Laplacian on Euclidean Balls


スペクトルと測度と関数解析 - 2026/7/28の論文15本
07/28/2026

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 GasketWeak-$A_\infty$ packing and estimates for fractional sparse forms on spaces of homogeneous typeSpectrality of Moran-Type Measures Generated by Two-Element and Three-Element Digit SetsA Fixed-Point Construction of the Elementary Transcendental FunctionsNonexistence of universal Fourier summation formulas for the degree below the H\"older threshold $\alpha=1/3$Weak porosity in spaces of homogeneous typeFuglede's conjecture holds for three intervalsContinuous solutions of the complex Kac--Bernstein functional equa...


不等式と関数空間とフーリエ解析 - 2026/7/27の論文9本
07/27/2026

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/2026-07-27/

Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approachBourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real LineDual spaces and T1 theorem of variable Dunkl--Hardy spacesVariable Hardy spaces in the Dunkl SettingEquality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functionsCharacterization of the boundedness of the segment multiplier on rearrangement-invariant spacesThe fractional Kontorovich-Lebedev transformFourier decay and non-decay for pseudo-affine self-conformal measuresGelfand-type problem for turbulent jets: sharp $L^\infty$ bound on extremal solutions


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
07/24/2026

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/2026-07-24/

A characterization of compact open spectral sets in $\mathbb{Q}_p^d$Endpoint estimates for multiparameter multipliers of Marcinkiewicz typeExtremal Functions and Widom Factors on Compact Riemann SurfacesThe Frankl--Tokushige product conjectures for $r$-cross-intersecting familiesEigenfunctions, free boundaries, and time-frequency localization


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
07/23/2026

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/2026-07-23/

Dimension drop for intersections of Cantor setsRough averages of triangular Hilbert transformsA solution to Meneguette's polynomial problemPinned nonempty interior and volumes of simplicesThe missing two-point inequality in Weissler's conjectureBinomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion


二項分布と分数と正則関数とカオス - 2026/7/22の論文7本
07/22/2026

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/2026-07-22/

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distributionMinkowski dimension and content of complex continued fractionsProjected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke typeOptimal concentration in the Paley-Wiener spaceChaos in the Order of Finite Bernoulli ConvolutionsMetric entropy of the space of holomorphic functionsCounterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)


調和解析と特異積分と幾何学的測度 - 2026/7/21の論文13本
07/21/2026

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/2026-07-21/

Interactions between quantitative rectifiability, singular integrals, and boundary value problems for harmonic functionsProperties of two Chebyshev-like polynomial sequencesHeisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice CrossesEndpoint Criteria for One-Dimensional Bilinear Rough Singular IntegralsOn monodromy and spectral geometry of generalized Lam\'e equations with four singularities, I: half periodsDiscrete analogues in harmonic analysis: Multi-parameter Radon averagesOn off-diagonal operators in matrix-weighted spacesIdeal G{\aa}rding polynomialsOn Erdos-Falconer distance problem in even dimensionsFractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger EquationsHardy spaces of discre...


関数と測度と積分と推定 - 2026/7/20の論文13本
07/20/2026

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/2026-07-20/

Theory and Computation of Discrete Sturm--Liouville Problems on Non-Uniform Grids via the Pr\"ufer TransformationOn 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
07/17/2026

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/2026-07-17/

Towards a characterization of idempotent Schur multipliersProjections of self-affine sets onto linesA construction of Kakeya Sets in Arbitrary DimensionApproximation of solutions of the sinh-Gordon equation $\Delta u -\sinh(2u)=0$ by hyperbolic orthogonal ring patternsAutomorphic Nelson Dilations for Contractions and Invariant Subspace TrackingOn the entropy of the log-normal distributionGlobal quadratic estimates for degenerate elliptic operators on cylinders


フーリエ制限と近似とレベルセット - 2026/7/16の論文5本
07/16/2026

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/2026-07-16/

Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloidThe exact $L_1$-norm supremum of Walsh--Kaczmarz--Fej\'er kernelsQuantitative Fourier Restriction Estimates for Weyl Operators: Fourier-Support Dependence and Lower BoundsDynamic Universal Approximation via Signature Controlled Differential EquationsInscribed squares of level sets of functions on the sphere


直交多項式と調和和と生成関数 - 2026/7/15の論文3本
07/15/2026

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/2026-07-15/

On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomialsHyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic SumsCurious identities involving Legendre polynomials and Ap\'ery-like numbers


関数と不等式と不変量と解析的評価 - 2026/7/14の論文13本
07/14/2026

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/2026-07-14/

Riccati type recursions for some infinite series involving zeros of Bessel functions of the first kindDeterminacy Witnesses in the Completely Monotone--Stieltjes--Bernstein HierarchyFrom weighted paraboloid restriction to $k$-stars and distance graphsSharp higher order regularity of discrete maximal functionsDilation-balanced product Pitt inequalities for mixed-tail potentialsOn a Class of Hypergeometric Sums via Recurrences and Product Binomial-Harmonic IdentitiesOptimal Extrapolation Bounds for Sparse Fourier SumsHardy-Rogers and Jungck Type Fixed Point Theorems in Perturbed Metric Spaces, Stability and Data DependenceThe isomorphic section-projection problem for convex bodiesLattice point counting in Cygan--Kor\'anyi balls on Heisenberg g...


積分と近似と超楕円と級数 - 2026/7/13の論文7本
07/13/2026

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/2026-07-13/

Integrability of a composition of functionsHypergeometric Series Representations for the Perimeter of Lam\'e SuperellipsesQuartic Fourier-Laplace limits for $(p,q)$-Rogers-Szeg\H{o} polynomialsSharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Operators with Inverse-Square PotentialsApproximation by quasi-projection operators and dual wavelet frames in Sobolev spacesLog-convexity and log-concavity of noncentral gamma sums and differencesWeak-type estimates for the Bergman projection on planar domains


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
07/10/2026

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/2026-07-10/

A set of points on the sphere with small Riesz energyOn $(p,q)$-binomial coefficient ratios for complex parametersOptimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal OperatorsTwo-ends Furstenberg inequality for transversal families and applications to Fourier decayA functional inequality related to Domar's uniform boundedness theoremThe logistic-normal integral and the moments of the logistic-normal distributionElliptic curves, Fourier ratio, and sampling complexityControllability and Exponential Mixing in Singular Interacting Particle SystemsPoint-dimension theory (part II): The point-cross dimension


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
07/09/2026

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/2026-07-09/

A note on the first variation of the total massPaul levy's Isoperimetric Problems on cyclic polygonsThere is no degree independent Bombieri type inequality for non-homogeneous polynomialsStable 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
07/08/2026

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/2026-07-08/

Riccati Reductions for Modified Bessel Ratios: Bernstein Positivity, Exact Certificates, and Transfer ObstructionsA Variation Norm Carleson Theorem Along the PrimesHigh-dimensional limits and extremizers for maximal functions associated with log-concave densitiesOn a measure-theoretic reading of $\beta$-Gr\"uss type inequalitiesSeparation Capacity of Scattering Networks on Low-Dimensional DatasetsStability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$


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

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 approximationStrict Total Positivity from Spectral Darboux and Toeplitz Smoothing MechanismsTrace bounds for limiting operators on rough domainsA variation on the P\'{o}lya-Seg\H{o} principle in one dimensionWeighted $H^p-L^q$ boundedness of integral operators with rough kernelsNon-universality of sumsets of lacunary sequences and arbitrary setsWeighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev InequalitiesOn the Arc Length of a Supercircle and a Hypergeometric Formulation of $\pi$A Roth theorem in $\mathbb R^2$ and a re...


スペクトルと摂動と測度と境界値 - 2026/7/3の論文12本
07/03/2026

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/2026-07-03/

Spectrality of factors of product spectral measuresSummability of formal solutions of some singular perturbations problems in differential and moment differential equationsImproved polynomial estimate for the Lebesgue constants of Leja sequences on finite unions of intervalsWeighted Extensions of Stein's Theorem for Linear and Multilinear OperatorsTiles and weak tiles in $\mathbb{Z}_{pq}$Uniform bounds on the Dunkl kernelBochner-Riesz means on the Heisenberg groupEliminating positive-measure level sets by small Lipschitz perturbationsA Probabilistic Sign Rule for Quotients of Positive Series and Integral TransformsOn perturbations that preserve the connectivity properties in tree percol...


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
07/02/2026

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/2026-07-02/

An order-interpolation inequality for Bessel functionsOn volume vectors determined by hypergraphs in thin subsets of Euclidean spaceThe $2j-k$ and $j-2k$ Bi-orthogonal Polynomials on the Unit Circle: Further Properties and Riemann-Hilbert CharacterizationsOn the Peres--Schlag orthogonal projection problem and Kakeya-type setsA Recurrence Based Summation Method for Ultra-Rapid Divergent Series and Renormalon Type ExpansionsBounds for the maximal and Riesz potential operators with variable fractionalityOne-sided median porous sets and one-sided Muckenhoupt distance functionsPeres--Schlag's nonempty-interior problem and a shifted-product variant for product setsFunction-Counting Theory for Low-Dimensional Data Structures


関数と行列と空間と境界条件 - 2026/7/1の論文9本
07/01/2026

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/2026-07-01/

Equivalence of the minimality conditions for the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameterOrder-Moment Transport and Hankel Determinants in Special-Function InequalitiesConjectures of Bernstein and Erd\H os for weighted Lagrange interpolation on the halfline with exponential weightsA Beckmann boundary form of Talagrand's conjecture on the discrete cubeSobolev spaces on snowtreesFractional integral and fractional maximal operators on generalized Fofana spacesOn the spherical Blaschke-Lebesgue problemPeriodic Non-uniqueness Sets for Shift-invariant Spaces and Parity-Based Obstructions to the Frame Property for Gabor SystemsQuantum Stokes matrices and qua


多様体とフーリエ解析と最適化 - 2026/6/30の論文16本
06/30/2026

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/2026-06-30/

Kernel approximation beyond the native space -- with applications to approximation on manifoldsMixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian ManifoldsEstimate of the Rate of Convergence of Fourier Sums for Functions from Lebesgue Classes on a Set of Full MeasurePlanar sets with large visible partsRectangles, triangles and Schr\"{o}dinger wavesFourier decay and $L^p$ Sobolev smoothing for weighted hypersurface measures in ${\mathbb R}^3$Equilibria in Motion: Stability, Tracking, and ConvergenceTransition asymptotics for the real solutions of the sinh-Gordon Painlev\'e III equationOn a conjecture on $k$-antichains in the un...


直交多項式と関数空間と多次元積分 - 2026/6/29の論文3本
06/29/2026

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/2026-06-29/

Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal PolynomialsOn the Bourgain--Brezis--Mironescu spaces over Carleson tentsWhich Saddles Contribute? The South-East Rule for Multidimensional Integrals


積分とグラフと微分方程式 - 2026/6/26の論文15本
06/26/2026

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/2026-06-26/

Askey-Wilson continued fraction at $q^N=1$A $Tb$ type theorem for suppressed kernelsA Finitely Generated Module Representation of the Bickley-Naylor FunctionsAn analytic approach to the ubiquity of geometric Brascamp-Lieb dataThe longest and shortest roots of a real cubicChromatic expansion with Bessel operator of fractional orderEvolving edge weights via local entropy flow and cohesion flow on graphsBilinear rough singular integrals under a fractional geometric conditionOn the parabolic Hausdorff dimension of orthogonal projectionsOn the resonant Carleson-Radon transform in all dimensions. The degree one resonant caseSharp endpoint multilinear estimates for oscillatory...


多様体と多項式と方程式 - 2026/6/25の論文6本
06/25/2026

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/2026-06-25/

The Maximum Codimension of a Salem SubmanifoldA Riemann-Hilbert approach to the computation of transform pairsDragon curves in Littlewood rootsAn inequality for Jacobi polynomials: a complement to Finite Increment TheoremA novel 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlev\'e II symmetry reductionRiesz 2-energy of the Diamond ensemble


不等式とエントロピーと漸近挙動 - 2026/6/24の論文9本
06/24/2026

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/2026-06-24/

Weighted Hardy Inequalities for Nested AveragesSufficient conditions for the existence of exponential-polynomial expansions for solutions of certain differential equationsMetric entropy of Fourier ratio classes on ${\mathbb Z}_N$The Usual Square Function on Weakly Flat SetsWhen Entropy flows: drifting along the route to ChaosOn the Sharpness of Khovanskii's Bezout-type Bound for Pfaffian FunctionsAn integral formula for the inhomogeneous Jordan--von Neumann equationA Disk-Growth Remez Principle and a Modular Proof of the Measurable Tur\'an-Nazarov InequalityLong-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisit


微分方程式と関数空間と粗い道 - 2026/6/23の論文17本
06/23/2026

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/2026-06-23/

Necessary conditions for the existence of exponential-polynomial expansions for solutions of certain differential equationsA Critical-Scale Extension of Zhizhiashvili's Theorem for Rectangular Fourier SeriesMinimality of the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameterOn the boundedness for the bilinear quadratic functional given by arbitrary stripsOn Block Spaces on the Unit SphereAnisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivativesSmooth Solutions to Systems of Linear Inequalities on $\mathbb{R}$A bilinear approach to the finite field restriction problem, IIAnisotropic 2D FUP and quantum open baker's mapOn the Structu...


離散リース変換とディリクレ級数と自己縮小曲面 - 2026/6/19の論文4本
06/19/2026

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/2026-06-19/

Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the discrete Riesz TransformsThe Littlewood-Paley formula and mean counting function for vertical limits of Dirichlet seriesOn $H=W$ in Banach function spacesComparison Theorems for the Profile Curve Equation of Rotationally Symmetric Self-Shrinkers


超幾何級数と重み付き評価 - 2026/6/18の論文4本
06/18/2026

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/2026-06-18/

Classification of the hypergeometric orthogonal polynomials via their recurrence coefficientsGeneral duality relations for hypergeometric and basic hypergeometric seriesOn weighted estimates for fractional operators and applications to Hardy-type inequalitiesTwo weight estimates for difference quotients


微分包含とスペクトルとゼータ関数 - 2026/6/17の論文6本
06/17/2026

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/2026-06-17/

Unbounded nonconvex Young differential inclusions: existence of a measurable selection of solutionsLittlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schr\"{o}dinger operatorsSpectral interpretation of Riemann zeta zerosWeak and strong $q$-analogs of the Laguerre--P\'olya classThe Hall problem in domainsUniqueness sets for functions of Dirichlet-type with restricted Taylor coefficients


近似と輸送と測度と関数空間 - 2026/6/16の論文17本
06/16/2026

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/2026-06-16/

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...