Published July 2006
| Submitted
Journal Article
Open
Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics
- Creators
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Damanik, David
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Simon, Barry
Chicago
An error occurred while generating the citation.
Abstract
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials with Szegő asymptotics off the real axis. A key idea is to prove the equivalence of Szegő asymptotics and of Jost asymptotics for the Weyl solution. We also prove L^2 convergence of Szegő asymptotics on the spectrum.
Additional Information
© 2006 Springer-Verlag. Received: 22 February 2005; Accepted: 10 October 2005; First Online: 09 January 2006. Supported in part by NSF grant DMS-0227089. Supported in part by NSF grant DMS-0140592 and in part by Grant No. 2002068 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.Attached Files
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Additional details
- Eprint ID
- 79350
- DOI
- 10.1007/s00222-005-0485-5
- Resolver ID
- CaltechAUTHORS:20170725-145819291
- NSF
- DMS-0227089
- NSF
- DMS-0140592
- Binational Science Foundation (USA-Israel)
- 2002068
- Created
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2017-07-25Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field