Published November 2003
| Submitted
Journal Article
Open
Sum Rules and the Szegő Condition for Orthogonal Polynomials on the Real Line
- Creators
-
Simon, Barry
- Zlatoš, Andrej
Abstract
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations where the sum rule is valid. Applications include an extension of Shohat's theorem to cases with an infinite point spectrum and a proof that if lim n(a_n−1)=α and lim nb_n=β exist and 2α<|β|, then the Szegő condition fails.
Additional Information
© 2003 Springer-Verlag Berlin Heidelberg. Received: 27 January 2003; Accepted: 25 March 2003; First Online: 10 October 2003. Supported in part by NSF grant DMS-9707661.Attached Files
Submitted - 0206023.pdf
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0206023.pdf
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Additional details
- Eprint ID
- 77453
- Resolver ID
- CaltechAUTHORS:20170515-111325638
- DMS-9707661
- NSF
- Created
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2017-05-15Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field