Zeros of non-Baxter paraorthogonal polynomials on the unit circle

Details Zeros of non-Baxter paraorthogonal polynomials on the unit circle Zeros of non-Baxter paraorthogonal polynomials on the unit circle

2010-05-27

arxiv.org/abs/1005.5192v2

Constructive Approximation, 35 (2012), no. 1, 107--121

Mathematics

Spectral Theory

13 pages, 1 figure; Version 2 corrects several typos and includes a mild rephrasing of part of the proof of the main theorem

Scientific paper

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.

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