Sum rules and Simon spectral gem problem on higher order Szeg\H{o} theorems
Complex Variables
2023-12-05 v1
Abstract
In this work, we give a formula for coefficients of orthogonal polynomials on the unit circle. By using this formula, a new and computable approach is provided for sum rules which applying to a spectral gem problem proposed by Barry Simon on higher order Szeg\H{o} theorems.
Keywords
Cite
@article{arxiv.2312.01323,
title = {Sum rules and Simon spectral gem problem on higher order Szeg\H{o} theorems},
author = {Zhihua Du},
journal= {arXiv preprint arXiv:2312.01323},
year = {2023}
}