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Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity

Damanik, D. and Simon, B. (2006) Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity. International Mathematics Research Notices, 2006 . Art. No. 19396. ISSN 1073-7928. doi:10.1155/IMRN/2006/19396. https://resolver.caltech.edu/CaltechAUTHORS:20170711-081744987

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Abstract

We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi parameters an − 1 and bn to have a given degree of exponential decay.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1155/IMRN/2006/19396DOIArticle
https://academic.oup.com/imrn/article-abstract/doi/10.1155/IMRN/2006/19396/658896/Jost-functions-and-Jost-solutions-for-Jacobi?redirectedFrom=fulltextPublisherArticle
https://arxiv.org/abs/math/0502487arXivDiscussion Paper
ORCID:
AuthorORCID
Damanik, D.0000-0001-5924-3849
Simon, B.0000-0003-2561-8539
Additional Information:© 2006 Oxford University Press. Received 24 October 2005; Revised 8 March 2006; Accepted 9 March 2006. The first author is supported in part by NSF Grant DMS-0227089. The second author is supported in part by NSF Grant DMS-0140592.
Funders:
Funding AgencyGrant Number
NSFDMS-0227089
NSFDMS-0140592
DOI:10.1155/IMRN/2006/19396
Record Number:CaltechAUTHORS:20170711-081744987
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170711-081744987
Official Citation:David Damanik, Barry Simon; Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity. Int Math Res Notices 2006; 2006 19396. doi: 10.1155/IMRN/2006/19396
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78930
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:11 Jul 2017 22:08
Last Modified:15 Nov 2021 17:44

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