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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. 13h ago

    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

  2. 1d ago

    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

  3. 4d ago

    作用素と幾何と特殊関数の研究 - 2026/10/30の論文36本

    arXiv math.CAの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-30/ Diffraction of rotated measuresExponential decay of threshold correlations for symmetric periodic functionsEndpoint estimates for spherical maximal operators acting on radial functions in hyperbolic spacesOn $q$-middle convolution and generalized $q$-hypergeometric equationArithmetic classification of the Dirichlet eigenvalues for a one-dimensional nonlocal $p$-Laplacian problemMatrix orthogonal polynomials related to diffference operators for $L$-orthogonal polynomialsApproximating the poles of a Painlev\'e V transcendent for the Fredholm determinant of the sine kernelSparse domination for $q$-variation associated with functional calculusUncertainty principles as forcing mechanismsAn involution for recurrences of Tricomi and other special functionsA Hierarchical Online-Compression Approach to Proportional Subsets of Bounded Orthonormal SystemsSparse domination and an extended $L^p$ range for the trilinear Hilbert transformPhase Retrieval of Bandlimited Signals Using a Morlet Wavelet and an Admissible CompanionSharp derivative inequalities for maximal functionsOn certain mapping properties of a weighted totally geodesic $k$-plane transform on the real hyperbolic spaceInverse scattering problem for the fifth-order Schr${\rm\bf\ddot{o}}$dinger operator on the whole axis$L^p$ integrability of functions with Fourier support on High codimension manifoldsThe S-function at arbitrary order: hyperplanes of symmetries and the realisability conditionFailure of the $H^1\times H^1\longrightarrow L^{1/2,\infty}$ estimate for the lacunary bilinear spherical maximal function and applicationsTangential center problem for planar Hamiltonian differential equationsCountable unions of intervals without Riesz spectraBilinear operators along variable curvesFinite-rank rigidity and Nash-curve discreteness for correlation potentialsDifferentiation and Shift Property Characterisations of the Group Fourier Transform on the Heisenberg GroupArithmetic Poisson summation formulasGeneralised hyperbolic polynomials: combinatorial interpretation and real-rootednessMaximum Diversity and Support Transitions on Disks and Three-Dimensional BallsA time-map description of the one-dimensional (p,q)-Laplacian Fu\v{c}ik spectrumHomogeneous polynomial approximation on symmetric convex bodies: A proof of Kro\'o's conjectureOn a positivity conjecture of Fasi and Higham for Pad\'e approximants to the matrix exponentialA Sharp Bound of Crossing Limit Cycle for Planar piecewise linear Systems with a Straight Switching LineA complete theory of local minimizers for periodic variational problemsEuler--Lagrange Flow Monotonicity for the Radon TransformRota universality of shifts on treesLocal $Tb$ theorems in non-homogeneous metric spaces, and applications to caloric measureAn alternative proof of the Keel--Tao endpoint Strichartz estimates

  4. 6d ago

    フーリエ解析と関数空間と幾何学的構造 - 2026/10/28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/2026-10-28/ Two-sided logarithmic estimates of the Lebesgue constants with respect to Vilenkin systemsA Separated Bump Theorem in $L^2$Spherical Averages on nilpotent GroupsSharp global \(L^2\) estimates for oscillatory integral operators with quasi-homogeneous phasesSharp helical maximal estimates in all dimensionsNonlinear uncertainty principleOn Borodin-Gorin presentation of Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric functionExact $L^2$ convergence through the wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0An approximate inner ball condition characterizing $C^{1,\alpha}$ convex bodiesA fractional modular Poincar\'e--Wirtinger-type inequality in Sobolev spaces with variable exponentsCharacterization of Fourier transform of Hilbert space Valued functionsSpectral delocalization and central limit theorems for Fourier functionals of stationary Gaussian fieldsThe Assouad Dimension of Graphs: An Affirmative Answer to Fraser's QuestionApplications of the fixed point theorem for mappings contracting perimeters of triangles: ODEs, PDEs, integer and difference equations

  5. Oct 27

    作用素と空間の構造と幾何学的解析 - 2026/10/27の論文19本

    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/2026-10-27/ Extremal cosine sign correlationsOn the positive Lebesgue measure of (n,k,t)-setsThe endpoints $p_-=1$ and $p_+=\infty$ for the maximal operator on $L^{p(\cdot)}$ over spaces of homogeneous typeSharp Quantitative Weighted Estimates for Lifted Maximal Operators with ApplicationsOn transformations of Kamp\'e de F\'eriet functions with integral parameter differencesThe $C_p$ conjecture of MuckenhouptIndependent powers and bounded Fourier partial sums in $L^1$Sharp $L^p$--$L^q$ bounds for the strong circular maximal operatorCarleson duality and endpoint structure of Euclidean flag Triebel--Lizorkin spacesFalconer estimate for circular and cinematic Furstenberg problemMultilinear extrapolation on Banach function spacesSurvey on Favard length and rectifiabilityEndpoint gradient bounds for centered convex maximal operators and probability kernelsWeak Hurwitz stability of extended Tur\'an expressions for Stirling--Whitney--Riordan and Laguerre polynomialsAttainable forms of intermediate dimensions of complementary setsRational limit of Rains integrals of type $A_n$Optimal Riesz mean inequalities for the Coulomb HamiltonianGeometric progressions in distance sets in odd dimensions over prime fieldsParabolic Rectifiable Reifenberg for Measures

  6. Oct 26

    作用素と重みと幾何と測度 - 2026/10/26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/2026-10-26/ Pointwise Riesz potential bounds for rough singular integralsSobolev Orthogonal Polynomials on the unit circle with varying inner productPinned configuration sets and slicing theorems via Fourier integral operatorsCoefficient duality and interpolation of Euclidean flag Besov spacesWeak-$L^\infty$ and BMO with Hausdorff ContentRiesz Transform Bounds Imply Parabolic Uniform Rectifiability of GraphsDimension-free bounds for maximal operators associated to log kernel and applicationsProperties and applications of Muckenhoupt $A_1$ growth weightsWeighted decoupling inequalities via fractal bilinear Kakeya estimatesRational $S$-functions for second order ODEs with non-Liouvillian first integralsSharp Projection Bounds for Intermediate Dimensions of MeasuresLacunary maximal operators on convex boundariesA direct proof of the equivalence of the A2 and the Helson--Szego conditionsAdditive energy and Fourier complexity of graphsDisplacement structure and eigenvalue bounds for multiband prolate matricesGagliardo--Nirenberg extremals on manifolds with small holes

  7. Oct 23

    作用素と重みとフーリエと幾何学 - 2026/10/23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/2026-10-23/ Covering lemmas associated to maximal operators of weak typeExplicit Measurable Counterexamples to Finite-Difference EquationsWeighted boundedness of maximal operator associated with invertible linear transformations on variable Lebesgue spacesA general quantified Wiener-Ikehara theoremSharp Variational estimates for Schr\"{o}dinger equation in $\mathbb{R}^{2}$Endpoint weighted Fourier estimate with vanishing spherical traceIntegral representations of high-order derivatives of Bessel functions with respect to the orderStability of Fourier Restriction for a Class of Finite Type Surfaces in $\mathbb R^3$A sharpened $L^8_t L^4_x$-Strichartz estimate for even initial dataModuli spaces of logarithmic connections associated with difference Painlev\'e equations of type $E^{(1)}_n$Dual medial axes in finite-dimensional normed spacesComplete conformal metrics of constant positive scalar curvature with prescribed isolated singularitiesOpen dynamics with a moving hole: inhomogeneous IFS and exponential separation conditionGrushin spherical harmonics in non-degenerate dimension oneOptimal Hardy weights for the fractional discrete Dirichlet Laplacian on the half-lineA spectral multiplier theorem for fractional Hardy operatorsConvex Bernstein limits and sharp recovery on expanding intervals

  8. Oct 22

    集合と射影と解析的推定 - 2026/10/22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/2026-10-22/ Same Gaps, Different Sets: A Survey on Complimentary sets and their DimensionsStability for the adjoint Finner inequality and improved lower bounds on the $k$-plane transform$q$-middle Laplace transform and its applicationsDuality in Harmonic Analysis and beyondA bounded Borel set in the plane none of whose orthogonal projections is BorelOn the gradient conjecture at infinity: Finite spherical length for gradient trajectories of definable potentialsSharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensionsHigher rank spectral projector estimates and a Stein--Tomas restriction theorem

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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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