Clark, Stephen and Gesztesy, Fritz and Zinchenko, Maxim (2008) Borg-Marchenko-type Uniqueness Results for CMV Operators. . (Submitted) https://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) | ||||||
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| Additional Information: | Based upon work supported by the US National Science Foundation under Grants No. DMS-0405526 and DMS-0405528. | ||||||
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| 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: | https://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: | 03 Oct 2019 20:10 |
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