Zeros of non-Baxter paraorthogonal polynomials on the unit circle
Spectral Theory
2012-02-14 v2
Abstract
We provide leading order asymptotics for the size of the gap in the zeros around 1 of paraothogonal polynomials on the unit circle whose Verblunsky coefficients satisfy a slow decay condition and are inside the interval (-1,0). We also include related results that impose less restrictive conditions on the Verblunsky coefficients.
Cite
@article{arxiv.1005.5192,
title = {Zeros of non-Baxter paraorthogonal polynomials on the unit circle},
author = {Brian Simanek},
journal= {arXiv preprint arXiv:1005.5192},
year = {2012}
}
Comments
13 pages, 1 figure; Version 2 corrects several typos and includes a mild rephrasing of part of the proof of the main theorem