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
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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.
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页码：107 / 121
页数：14
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