Published July 2005
| Version Submitted
Journal Article
Open
Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay
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
Submitted - 0411392.pdf
Files
0411392.pdf
Additional details
Identifiers
- Eprint ID
- 77391
- DOI
- 10.1016/j.jat.2005.04.003
- Resolver ID
- CaltechAUTHORS:20170512-073745361
Related works
- Describes
- https://arxiv.org/abs/math/0411392 (URL)
Funding
- NSF
- DMS-0140592
Dates
- Created
-
2017-05-12Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department