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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 -
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 groupsSharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower BoundsSharp Broken-Power Lorentz Estimates for Fractional Powers of Radial Schr\"odinger Operators with Inverse-Square AsymptoticsFractal uncertainty principle over $\mathbb{Q}_p$ -
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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 -
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 -
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 -
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 $p\ge 2$ -
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 related ergodic theorem$\mathrm{L}^p$ bounds for parabolic Riesz transforms with rough coefficients: The case $1 -
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 percolationsSharp Lower Bounds for Sumsets in HypercubesFlux solutions for stochastic chemical systems with sources and sinks -
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 -
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 quantum Riemann-Hilbert-Birkhoff maps -
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 unit $n$-cubeOn the Marstrand projection theorem for the Assouad spectrumModern Theory of Gradient-Based OptimizationThe Concept of Wiener Amalgam SpacesDefinable Eventual EqualizersA Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite FieldsStrichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to KakeyaGeneralized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator -
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 -
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 integrals and spectral clustersCusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi ConjectureDiscrete Space-Time Wave Kernels and Trace Identities on Regular GraphsDiscrete Space-Time Wave Kernels on Regular TreesRecovering Governing Equations from Solution Data: Identifiability Bounds for Linear and Nonlinear ODEs -
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 -
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 Revisited -
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 Structure and Stability of Boundary Mixed Steady States in Evolutionary Games on NetworksAdvancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wettingOn It\^o-Stratonovich formula for rough sheetsLocality of rough path liftsPrescribed--Energy Connecting Orbits for Quasilinear Conservative SystemsOn the cyclicity of the period annulus of quasi-homogeneous polynomial vector fieldsCompactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function SpacesComputing Gaussian and exponential integrals in ${\Bbb R}^n$ -
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 -
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 -
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 -
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 - Visa fler
