Published March 2015
| Version Submitted
Journal Article
Open
Cantor polynomials and some related classes of OPRL
Abstract
We explore the spectral theory of the orthogonal polynomials associated to the classical Cantor measure and similar singular continuous measures. We prove regularity in the sense of Stahl–Totik with polynomial bounds on the transfer matrix. We present numerical evidence that the Jacobi parameters for this problem are asymptotically almost periodic and discuss the possible meaning of the isospectral torus and the Szegő class in this context.
Additional Information
© 2014 Elsevier Inc. Received 30 December 2013; received in revised form 5 March 2014; accepted 7 April 2014; Available online 16 April 2014. The first author was supported by the Simons Foundation as a Simons Postodoctal Fellow. The second author was supported in part by National Science Foundation grants DMS-0968856; 1265592.Attached Files
Submitted - p334.pdf
Files
p334.pdf
Additional details
Identifiers
- Eprint ID
- 56102
- Resolver ID
- CaltechAUTHORS:20150326-081223615
Funding
- Simons Foundation
- NSF
- DMS-0968856
- NSF
- DMS-1265592
Dates
- Created
-
2015-03-27Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department