Finite gap Jacobi matrices: A review

Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim (2013) Finite gap Jacobi matrices: A review. In: Spectral Analysis, Differential Equations and Mathematical Physics. Proceedings of Symposia in Pure Mathematics. No.87. American Mathematical Society , Providence, Rhode Island, pp. 87-103. ISBN 978-0821875742. https://resolver.caltech.edu/CaltechAUTHORS:20140317-145017007

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Abstract

Perhaps the most common theme in Fritz Gesztesy's broad opus is the study of problems with periodic or almost periodic finite gap differential and difference equations, especially those connected to integrable systems. The present paper reviews recent progress in the understanding of finite gap Jacobi matrices and their perturbations. We'd like to acknowledge our debt to Fritz as a collaborator and friend. We hope Fritz enjoys this birthday bouquet!

Item Type:

Book Section

Related URLs:

URL	URL Type	Description
http:dx.doi.org/10.1090/pspum/087/01429	Publisher	Article
http://www.ams.org/bookstore/pspdf/pspum-87-toc.pdf	Publisher	Article
http://arxiv.org/abs/1301.5073	arXiv	Discussion Paper

ORCID:

Author	ORCID
Simon, Barry	0000-0003-2561-8539

Additional Information:

© 2013 American Mathematical Society. The first and third authors would like to thank Caltech for its hospitality where this manuscript was written. The first author was supported in part by a Steno Research Grant (09-064947) from the Danish Research Council for Nature and Universe. The second author was supported in part by NSF grant DMS-0968856. The third author was supported in part by NSF grant DMS-0965411.

Funders:

Funding Agency	Grant Number
Danish Research Council for Nature and Universe Steno Reseach Grant	09-064947
NSF	DMS-0968856
NSF	DMS-0965411

Subject Keywords:

Isospectral torus, Orthogonal polynomials, Szegö's theorem, Szegö asymptotics, Lieb-Thirring bounds.

Series Name:

Proceedings of Symposia in Pure Mathematics

Issue or Number:

Classification Code:

2012 MSC: Primary 47B36, 42C05, 58J53, 34L15

Record Number:

CaltechAUTHORS:20140317-145017007

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20140317-145017007

Official Citation:

Finite gap Jacobi matrices: A review Jacob S. Christiansen, Barry Simon, and Maxim Zinchenko 87-103

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

44363

Collection:

CaltechAUTHORS

Deposited By:

Ruth Sustaita

Deposited On:

26 Mar 2014 21:27

Last Modified:

03 Oct 2019 06:17

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