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Borg-Marchenko-type Uniqueness Results for CMV Operators

Clark, Stephen and Gesztesy, Fritz and Zinchenko, Maxim (2008) Borg-Marchenko-type Uniqueness Results for CMV Operators. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180815-102223378

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Abstract

We prove local and global versions of Borg–Marchenko-type uniqueness theorems for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and Velázquez [15]). While our half-lattice results are formulated in terms of Weyl–Titchmarsh functions, our full-lattice results involve the diagonal and main off-diagonal Green’s functions.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/0803.3175arXivDiscussion Paper
Additional Information:Based upon work supported by the US National Science Foundation under Grants No. DMS-0405526 and DMS-0405528.
Funders:
Funding AgencyGrant Number
NSFDMS-0405526
NSFDMS-0405528
Subject Keywords:CMV operators, orthogonal polynomials, finite difference operators, Weyl–Titchmarsh theory, Borg–Marchenko-type uniqueness theorems
Classification Code:1991 Mathematics Subject Classification. Primary 34E05, 34B20, 34L40; Secondary 34A55
Record Number:CaltechAUTHORS:20180815-102223378
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180815-102223378
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88822
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Aug 2018 17:27
Last Modified:15 Aug 2018 17:27

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