Borg-marchenko-type Uniqueness Results for CMV Operators

Author

Stephen L. Clark, Missouri University of Science and TechnologyFollow
Fritz Gesztesy
Maxim Zinchenko

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.

Recommended Citation

S. L. Clark et al., "Borg-marchenko-type Uniqueness Results for CMV Operators," Transactions of the Royal Norwegean Society of Science and Letters, Royal Norwegian Society of Sciences and Letters, Mar 2008.

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.

Publication Date

01 Mar 2008