Published July 2006
| Version Submitted
Journal Article
Open
Fine structure of the zeros of orthogonal polynomials III: Periodic recursion coefficients
Abstract
We discuss asymptotics of the zeros of orthogonal polynomials on the real line and on the unit circle when the recursion coefficients are periodic. The zeros on or near the absolutely continuous spectrum have a clock structure with spacings inverse to the density of zeros. Zeros away from the a.c. spectrum have limit points mod p and only finitely many of them.
Additional Information
© 2005 Wiley Periodicals, Inc. Issue online: 25 Apr 2006. Version of Record online: 5 Oct 2005. Manuscript Received: Dec 2004. This work was partially supported by NSF Grant DMS-0140592. It is a pleasure to thank Chuck Newman and Percy Deift for the hospitality of the Courant Institute, where some of this work was done.Attached Files
Submitted - 0412336.pdf
Files
0412336.pdf
Additional details
Identifiers
- Eprint ID
- 78927
- DOI
- 10.1002/cpa.20106
- Resolver ID
- CaltechAUTHORS:20170711-080502782
Related works
- Describes
- https://arxiv.org/abs/math/0412336 (URL)
Funding
- NSF
- DMS-0140592
- Courant Institute
Dates
- Created
-
2017-07-11Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department