Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay

Simon, Barry (2005) Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay. Journal of Approximation Theory, 135 (1). pp. 125-139. ISSN 0021-9045. doi:10.1016/j.jat.2005.04.003. https://resolver.caltech.edu/CaltechAUTHORS:20170512-073745361

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Abstract

We present a complete theory of the asymptotics of the zeros of OPUC with Verblunsky coefficients α_n = ∑_(ℓ=1)^L C_ℓb_ℓ^n + O((bΔ)^n) where Δ <1 and |b_ℓ|= b <1.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1016/j.jat.2005.04.003	DOI	Article
http://www.sciencedirect.com/science/article/pii/S0021904505000845	Publisher	Article
https://arxiv.org/abs/math/0411392	arXiv	Discussion Paper

ORCID:

Author	ORCID
Simon, Barry	0000-0003-2561-8539

Additional Information:

© 2005 Elsevier Inc. Received 19 November 2004, Revised 6 March 2005, Accepted 13 April 2005, Available online 16 June 2005. Communicated by Leonid Golinskii Supported in part by NSF grant DMS-0140592. I thank Percy Deift and Chuck Newman for the hospitality of the Courant Institute where some of this work was done.

Funders:

Funding Agency	Grant Number
NSF	DMS-0140592

Subject Keywords:

Zeros; OPUC

Issue or Number:

DOI:

10.1016/j.jat.2005.04.003

Record Number:

CaltechAUTHORS:20170512-073745361

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20170512-073745361

Official Citation:

Barry Simon, Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay, Journal of Approximation Theory, Volume 135, Issue 1, July 2005, Pages 125-139, ISSN 0021-9045, https://doi.org/10.1016/j.jat.2005.04.003. (http://www.sciencedirect.com/science/article/pii/S0021904505000845)

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ID Code:

77391

Collection:

CaltechAUTHORS

Deposited By:

Ruth Sustaita

Deposited On:

12 May 2017 23:57

Last Modified:

15 Nov 2021 17:30

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