Published February 2012
| Version public
Journal Article
Zeros of Non-Baxter Paraorthogonal Polynomials on the Unit Circle
Abstract
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.
Additional Information
© 2012 Springer Science+Business Media, LLC. Received: 25 May 2010; Accepted: 26 October 2010; Published online: 29 January 2011. Communicated by Serguei Denissov. This research was partially supported by an NSF GRFP grant.Additional details
Identifiers
- Eprint ID
- 28967
- DOI
- 10.1007/s00365-011-9127-x
- Resolver ID
- CaltechAUTHORS:20120125-132356634
Funding
- NSF GRFP grant
Dates
- Created
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2012-01-25Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field