Zeros of Non-Baxter Paraorthogonal Polynomials on the Unit Circle

被引：0

作者：

Brian Simanek

机构：

[1] California Institute of Technology,

来源：

Constructive Approximation | 2012年 / 35卷

关键词：

Zeros of paraorthogonal polynomials; Slow decay of Verblunsky coefficients; CMV matrix; Blaschke products; Approximate eigenvectors; 42C05; 26C10; 47B36;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We provide leading-order asymptotics for the size of the gap in the zeros around 1 of paraorthogonal 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.

引用

页码：107 / 121

页数：14

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