関数と集合と代数的な構造の解析 - 2026/10/1の論文20本

arXiv math.CAの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-01/ Hyperplane Incidences and Distance Sets in Higher Dimensions Tur\'an type inequalities for oscillatory special functions Sharp volume bounds for BRK-type sets of surfaces of revolution The Minkowski $?(x)$ function and Salem's problem. II On planar Nikodym-type sets A Note on Capacity Muckenhoupt Weights with respect to the Hausdorff Content Natural reparameterization and continuity of the solution map for polynomials A Kac-Moody root system and linear ordinary differential equations On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate The Pearl ensemble and the logarithmic energy on the Sphere More on dominated and microscopic sets The Work of Hong Wang Weak type $(1,1)$ boundedness of noncommutative singular integral operators with rough kernels Small additive groups with $A+\xi A=\mathbb R$ Assouad type dimensions of generalized affine fractal interpolation functions and their applications Exact barycentric rational interpolation of analytic functions with an application to the Bessel functions Sharp spherical extension theorem in $\mathbb F_q^{2m}$ and applications A stochastic Carleson embedding theorem with constant $e$ and the vector of Riesz transforms A Hartman-Grobman theorem on Banach bundles Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing