Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem
Functional Analysis
2016-09-07 v1 Spectral Theory
Abstract
First we give here a simple proof of a remarkable result of Videnskii and Shirokov: let be a Blaschke product with zeros, then there exists an outer function , such that , where is an absolute constant. Then we apply this result to a certain problem of finding the asymptotic of orthogonal polynomials.
Cite
@article{arxiv.math/0508544,
title = {Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem},
author = {F. Peherstorfer and A. Volberg and P. Yuditskii},
journal= {arXiv preprint arXiv:math/0508544},
year = {2016}
}