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)

  1. 1日前

    終点と重みと測度と多項式構造 - 2026/11/11の論文11本

    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/2026-11-11/ A Counterexample to Polynomial Approximation for Monotone WeightsFailure of endpoint estimates for lacunary bilinear spherical maximal functions on Heisenberg groupsWeak $L^{2/3}$ bounds for the bilinear Hilbert transformOn the proof of Falconer distance conjectureImprovement to characterizations of BMO in terms of endpoint bounds for commutators and some counterexamplesA resolution of the Erd\H{o}s similarity problem in the largeMonotone Rearrangement for Flattening Weights $F_2$An elliptic deformation of continued fractionsTransforms between multivariate Laguerre and Meixner polynomials and their applications to gatewaysAverage and probabilistic linear widths of sequence spaces with a Gaussian measureRectifiable measures in Ahlfors regular spaces: endpoint constructions

  2. 2日前

    作用素と関数とシャープな評価 - 2026/11/10の論文23本

    arXiv math.CAの新着論文23本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-10/ An Alternative Proof of the SPR Synthesis Theorem for Polynomial Segments of Arbitrary OrderOn the multivariate hypergeometric function $F_K^{(L)}$, INonlocal bilinear differential operators induced by a third order hypermetric in $\mathbb{R}^n$Optimal orders for Hilbert-valued Littlewood--Paley functions of symmetric semigroupsSchauder exponential basis which is not RieszA Quarter-Power Bound for Chowla's Cosine ProblemFefferman-Stein Type Distribution Function Inequalities on Product SpacesUncertainty principle on $\mathbb{T}^m \times \mathbb{R}^n$The bilinear Hilbert transforms are not of restricted weak type $(1,1,1/2)$Random Configurations and Fourier DecouplingThe solution of the Bochner--Krall problemPointwise estimates for an anisotropic product type singular integral on the sphereAsymptotics of matrix orthogonal polynomials with non-scalar varying weightsTranslation continuity for the local bilinear circular maximal operatorGlobal zero distribution and pluripolar exceptional cones for complex linear differential equationsSharpness of the Martin-O'Bryant autoconvolution inequalitySecond-Order Linear $q$-Difference EquationsOn the lower bound for the $L^1$ norm of Liouville exponential sums. IISharp Rates for Optimal Recovery of Bandlimited Functions from Localized OversamplingOn the sharp weak-type inequality for Riesz transformsDiophantine conditions for absolute continuity of projections for self-similar measuresBudan--Fourier theorem for circuit polynomial systemsGlobal Asymptotics of a Toda Soliton Condensate with Random Scattering Data

  3. 3日前

    不等式と解析とネットワークの構造 - 2026/11/9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/2026-11-09/ Fractional Fefferman--Stein inequalities on infinite rooted $k$-ary treesWalsh Analysis in the Twenty-First Century: Convergence, Summability, Nonlinear Approximation, Universality, and Digital ApplicationsA sharp weighted $L^2$ Bernstein inequality for partial derivatives on the unit ballLiouville transforms for ordinary differential equations with distributional coefficientsOn the (non-)closedness of the set of ReLU networks

  4. 6日前

    幾何とフーリエ不等式と非可換組合せ論 - 2026/11/6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/2026-11-06/ Resolving Tusn\'ady's ProblemThe square function estimates for cones in arbitrary dimensions and elliptic quadricsGroup-free radial Kunze-Stein phenomenon on affine buildingsDarboux transformations of linear birth-death processesParameter-dependent inhomogeneous boundary-value problems in spaces of continuously differentiable functionsAn interpretation of the BMO boundedness of H\"ormander--Mikhlin multipliersFourier inequalities and sign uncertainty IICombinatorics of noncommutative harmonic oscillator determinantRecovering the Length of a Path from its SignatureUniqueness of Extremizers and Convergence of the Euler-Lagrange Iteration for the Critical Hardy-Littlewood-Sobolev InequalityFourier level inequalities on the discrete cube via complex hypercontractivity and Riesz transformsSpectral Regimes of Truncated sinc-Power and Pulse-Train Kernels: Edge Exponents, Per-Edge Plunges, and the Landau-Widom Limit

  5. 11月5日

    マルチンゲールと非局所演算子と固有値 - 2026/11/5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/2026-11-05/ Homogeneous Polynomial Carleson Operators Along the ParaboloidMacroscopic return-time spectra and Hausdorff dimension transitionsAn equivalence principle for martingalesParabolic Extrapolation of Compactness with Applications to Characterizations of the Parabolic CMO Space via Parabolic Fractional CommutatorsGeneralized principal eigenvalues for nonlocal operators with driftAn Exact Poisson Mixture Representation of Siler Remaining Life ExpectancyA property of boundary extensions of atomic singular inner functions

  6. 11月4日

    作用素と空間と幾何学的構造 - 2026/11/4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/2026-11-04/ One-Sided Hardy--Littlewood Maximal Operators on Variable Lebesgue Spaces Beyond Log-H\"older ContinuityBounds for Orthogonal Expansion Coefficients via Weighted PrimitivesPoisson area and non-tangential maximal functions on manifolds with ends and applicationsA sharp Mittag-Leffler bound for series with separated exponentsBilinear Kor\'anyi spherical maximal function on the Heisenberg groupSampling Density for Multi-window STFT Phase RetrievalArithmetic product theorems on self-similar sets of uniqueness and homogeneous Moran setsStein's generalized spherical maximal operatorLimit cycles of singular algebraic foliations on the real projective planeSharp decay of the spherical averages of the Fourier transform of open setsAn oscillation result for slightly perturbed trigonometric seriesMatrix-weighted $Z$-spaces and tent spaces:characterizations, duality and interpolationQuasiconformal distortion of the lower dimension and applications

  7. 11月3日

    特殊関数と解析的構造 - 2026/11/3の論文40本

    arXiv math.CAの新着論文40本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-03/ Ad-conditions for higher-order recurrences: Dunkl and matrix-valued settingsSecond order Heisenberg Uncertainty Principle for solenoidal fields: sharp constants, optimizers and sharp stabilityOn the properties of the potential and the spherical harmonic expansions for general planetsBilateral Christoffel-Geronimus-Uvarov formulas for mixed-type orthogonality on algebraic supportsConjectures of Bernstein and Erd\H{o}s for weighted Lagrange interpolation with Hermite weightThe Two-Point Inequality for $p>q$Some Characterisations of the Strichartz Fourier Transform on the Heisenberg GroupBochner-Riesz means for Laguerre expansionsThe sharp Stein-Tomas inequality on the circlePerfectness of partial Christoffel transforms of Nikishin systemsThe MZ-property for three-term differencesThe Marvelous Meixner Polynomials: Second Kind, First ClassA log-concavity criterion for finite nonnegative linearizationPercentile oscillations and the intrinsic square functionOn Variational Inequalities for Averages over HypersurfacesAnother Application of the Alternating Map: Time-and-Band LimitingThe signed error-sum function of tent-map expansionsThe local-to-global minimum problem of Calvert and Vamanamurthy: a quartic counterexample in three variables and the cubic case in all dimensionsOn a hybrid trilinear Hilbert transformSeparating the Polar of Sets of Uniqueness from the Polars of All $H^{(d)}$-SetsPointwise Ergodic Theorems Along $\lfloor p^c\rfloor$ for Every $c>1$Bilinear maximal functions associated with some degenerate surfaces on the Heisenberg groupThe critical line for modulation invariant bilinear multipliersOn some positivity properties of the Riemann $\Xi$ functionAny uniformly rectifiable set is contained in a set with Poincar\'e inequalityCharacterization of the group Fourier transform of Hilbert space Valued functionsHyperplane Furstenberg Sets in Higher DimensionsLecture note on Fourier decoupling theory and its applicationsA Proof for Generalized EgalitarianismIntersections of fractal sets with rectifiable curvesPainlev\'e VI superintegrability and Heun-Racah algebrasA dual approach to $L^p$ estimates for orthogonal martingales satisfying the differential subordinationMarkov-driven self-similar measures and non-homogeneous slicingOn the Finite-Time Singularities of Point-Vortex Systems I: The Half-PlaneFunctions of $\boldsymbol{S}_p$-almost commuting unitary operators and contractions. An extension of the Carey--Pincus trace formulaCoefficientwise Hankel-total positivity from a universal cumulant liftingA general framework for universal bounds on the analytic functional calculusAsymptotic delta-like behavior of the weighted taper in Thomson's multitaper F-testFundamental solutions to Kolmogorov-Fokker-Planck equations with unbounded lower order termsCounterexamples to the Jacobian Conjecture from the viewpoint of lineability

  8. 11月2日

    不等式と点配置の鋭い解析 - 2026/11/2の論文14本

    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/2026-11-02/ Sharp convex body sparse bounds and quantitative matrix weighted estimates for Hilbert transforms along curvesSimple proofs of a Gagliardo--Nirenberg inequality and their extensionsDilation systems with two generators and the optimal Riesz bounds of a basis of ReLU networksProduct Pitt inequalities and signed Boas equivalences for general monotone functionsUllman--Stahl--Totik regularity for conjugacy measuresElliptic Fekete points: separation, Riesz energies, and polynomial conditioningAsymmetric $L^p$-improving and maximal estimates for the triangle averaging operatorParabolic Reifenberg Parametrizations and Corona Decompositions, with Applications to Singular IntegralsAdversarial Wronskians: A proof of the Kung--Traub conjectureSharp Nonlocal Poincar\'e Inequalities and Liminf Lower Bounds for Sobolev and BV Energies on Metric Measure SpacesThe full shadow of a polynomial II. Vanishing root masses and holesLocal Smoothing Estimates of Schr\"{o}dinger Operators on Waveguides Using Refined DecouplingTruncated Dirichlet estimates for Bloch functionsTiling without a subspace complement: a sharp counterexample in dimension nine over the field with two elements

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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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