Borg-marchenko-type Uniqueness Results for CMV Operators
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 ). 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.
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.
Mathematics and Statistics
National Science Foundation (U.S.)
Keywords and Phrases
Weyl-titchmarsh theory; borg-marchenko-type uniqueness theorems; cmv operators; finite difference operators; orthogonal polynomials
Article - Journal
© 2008 Royal Norwegian Society of Sciences and Letters, All rights reserved.
01 Mar 2008