Schur functions and orthogonal polynomials on the unit circle
经典分析与常微分方程
2009-09-25 v1
摘要
We apply a theorem of Geronimus to derive some new formulas connecting Schur functions with orthogonal polynomials on the unit circle. The applications include the description of the associated measures and a short proof of Boyd's result about Schur functions. We also give a simple proof for the above mentioned theorem of Geronimus.
引用
@article{arxiv.math/9510212,
title = {Schur functions and orthogonal polynomials on the unit circle},
author = {Feruenc Pinteŕ and Paul G. Nevai},
journal= {arXiv preprint arXiv:math/9510212},
year = {2009}
}