Published July 2005
| Submitted
Journal Article
Open
Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay
- Creators
-
Simon, Barry
Chicago
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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.
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.Attached Files
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Additional details
- Eprint ID
- 77391
- DOI
- 10.1016/j.jat.2005.04.003
- Resolver ID
- CaltechAUTHORS:20170512-073745361
- NSF
- DMS-0140592
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field