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math.SP2004
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…
math.SP2004★ 3 cited
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…
math.SP2004
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…