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 | ||||||||||||
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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. | ||||||||||||
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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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