Title

Borg-marchenko-type Uniqueness Results for CMV Operators

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 Vel´azquez [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.

Department(s)

Mathematics and Statistics

Sponsor(s)

National Science Foundation (U.S.)

Keywords and Phrases

Weyl-titchmarsh theory; borg-marchenko-type uniqueness theorems; cmv operators; finite difference operators; orthogonal polynomials

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2008 Royal Norwegian Society of Sciences and Letters, All rights reserved.

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