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Physical Sciences and Engineering Mathematics Analysis

Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators

Article ID Journal Published Year Pages File Type
9501693 Journal of Differential Equations 2005 39 Pages PDF
Abstract
Our approach is based on trace formulas and matrix-valued (exponential) Herglotz representation theorems. As a by-product of our techniques we obtain the extension of Flaschka's Borg-type result for periodic scalar Jacobi operators to the class of reflectionless matrix-valued Jacobi operators.
Keywords
34L4034B20Jacobi operatorsTrace formulas
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
Authors
Steve Clark, Fritz Gesztesy, Walter Renger,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
34L40
34B20
Jacobi operators
Trace formulas
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
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Mathematical Physics
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