5 citations · 9 across the 5 of their papers we have counts for
5 papers
On the spectrum of Jacobi operators with quasi-periodic algebro-geometric coefficients
Vladimir Batchenko, Fritz Gesztesy
We characterize the spectrum of one-dimensional Jacobi operators H=aS^{+}+a^{-}S^{-}+b in l^{2}(\Z) with quasi-periodic complex-valued algebro-geometric coefficients (which satisfy…
A Borg-Type Theorem Associated with Orthogonal Polynomials on the Unit Circle
Fritz Gesztesy, Maxim Zinchenko
We prove a general Borg-type result for reflectionless unitary Cantero-Moral-Velazquez (CMV) operators U associated with orthogonal polynomials on the unit circle. The spectrum of…
Trace Formulas and Borg-Type Theorems for Matrix-Valued Jacobi and Dirac Finite Difference Operators
Steve Clark, Fritz Gesztesy, Walter Renger
Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric Dirac difference operators D are proved. More precisely, assuming reflectionless matrix coeffi…
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
Jeffrey S. Geronimo, Fritz Gesztesy, Helge Holden
We derive theta function representations of algebro-geometric solutions of a discrete system governed by a transfer matrix associated with (an extension of) the trigonometric momen…
J-Self-Adjointness of a Class of Dirac-Type Operators
Radu Cascaval, Fritz Gesztesy
In this note we prove that the maximally defined operator associated with a class of Dirac-type differential expressions M(Q) is J-self-adjoint with respect to a proper antilinear…