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Mathematics > Classical Analysis and ODEs
Title: Nevai's condition for measures with unbounded supports
(Submitted on 11 Apr 2024 (v1), last revised 12 Apr 2024 (this version, v2))
Abstract: 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.
Submission history
From: Grzegorz Świderski [view email][v1] Thu, 11 Apr 2024 08:52:07 GMT (20kb)
[v2] Fri, 12 Apr 2024 14:00:07 GMT (20kb)
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