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 measures Exponential decay of threshold correlations for symmetric periodic functions Endpoint estimates for spherical maximal operators acting on radial functions in hyperbolic spaces On $q$-middle convolution and generalized $q$-hypergeometric equation Arithmetic classification of the Dirichlet eigenvalues for a one-dimensional nonlocal $p$-Laplacian problem Matrix orthogonal polynomials related to diffference operators for $L$-orthogonal polynomials Approximating the poles of a Painlev\'e V transcendent for the Fredholm determinant of the sine kernel Sparse domination for $q$-variation associated with functional calculus Uncertainty principles as forcing mechanisms An involution for recurrences of Tricomi and other special functions A Hierarchical Online-Compression Approach to Proportional Subsets of Bounded Orthonormal Systems Sparse domination and an extended $L^p$ range for the trilinear Hilbert transform Phase Retrieval of Bandlimited Signals Using a Morlet Wavelet and an Admissible Companion Sharp derivative inequalities for maximal functions On certain mapping properties of a weighted totally geodesic $k$-plane transform on the real hyperbolic space Inverse 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 manifolds The S-function at arbitrary order: hyperplanes of symmetries and the realisability condition Failure of the $H^1\times H^1\longrightarrow L^{1/2,\infty}$ estimate for the lacunary bilinear spherical maximal function and applications Tangential center problem for planar Hamiltonian differential equations Countable unions of intervals without Riesz spectra Bilinear operators along variable curves Finite-rank rigidity and Nash-curve discreteness for correlation potentials Differentiation and Shift Property Characterisations of the Group Fourier Transform on the Heisenberg Group Arithmetic Poisson summation formulas Generalised hyperbolic polynomials: combinatorial interpretation and real-rootedness Maximum Diversity and Support Transitions on Disks and Three-Dimensional Balls A time-map description of the one-dimensional (p,q)-Laplacian Fu\v{c}ik spectrum