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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:
URLURL TypeDescription
http:dx.doi.org/10.1090/pspum/087/01429PublisherArticle
http://www.ams.org/bookstore/pspdf/pspum-87-toc.pdfPublisherArticle
http://arxiv.org/abs/1301.5073arXivDiscussion Paper
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
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 AgencyGrant Number
Danish Research Council for Nature and Universe Steno Reseach Grant09-064947
NSFDMS-0968856
NSFDMS-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:87
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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