Nevai's condition for measures with unbounded supports

Autor:	Świderski, Grzegorz
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Probability Mathematics - Spectral Theory 42C05 (Primary) 47B36 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We study Nevai's condition from the theory of orthogonal polynomials on the real line. We prove that a large class of measures with unbounded Jacobi parameters satisfies Nevai's condition locally uniformly on the support of the measure away from a finite explicit set. This allows us to give applications to relative uniform and weak asymptotics of Christoffel-Darboux kernels on the diagonal and to limit theorems for unconventionally normalized global linear statistics of orthogonal polynomial ensembles. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.07566 Zobrazit plný text záznamu View this record from Arxiv