On rate of convergence for universality limits

DOI10.1007/s00020-024-02757-8arXiv2306.13722OpenAlexW4392004088MaRDI QIDQ6123375

Roman Bessonov

Publication date: 4 March 2024

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.13722

zbMATH Keywords

entropyuniversalityreproducing kernelsSzegő class

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Entropy and other invariants (28D20) Spaces of measures, convergence of measures (28A33) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

• Unnamed Item
• A new approach to universality limits involving orthogonal polynomials
• Universality for locally Szegő measures
• Universality limits in the bulk for arbitrary measures on compact sets
• Szegö's extremum problem on the unit circle
• A spectral Szegő theorem on the real line
• Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials
• Entropy function and orthogonal polynomials
• Universality Under Szegő’s Condition
• The Christoffel-Darboux Kernel
• Szegő condition, scattering, and vibration of Krein strings

This page was built for publication: On rate of convergence for universality limits