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 systems A Separated Bump Theorem in $L^2$ Spherical Averages on nilpotent Groups Sharp global $L^2$ estimates for oscillatory integral operators with quasi-homogeneous phases Sharp helical maximal estimates in all dimensions Nonlinear uncertainty principle On Borodin-Gorin presentation of Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function Exact $L^2$ convergence through the wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0 An approximate inner ball condition characterizing $C^{1,\alpha}$ convex bodies A fractional modular Poincar\'e--Wirtinger-type inequality in Sobolev spaces with variable exponents Characterization of Fourier transform of Hilbert space Valued functions Spectral delocalization and central limit theorems for Fourier functionals of stationary Gaussian fields The Assouad Dimension of Graphs: An Affirmative Answer to Fraser's Question Applications of the fixed point theorem for mappings contracting perimeters of triangles: ODEs, PDEs, integer and difference equations