Trace Formulas and Borg-type Theorems for Matrix-Valued Jacobi and Dirac Finite Difference Operators
Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric Dirac difference operators D are proved. More precisely, assuming reflectionless matrix coefficients A,B in the self-adjoint Jacobi operator H=AS++A-S-+B (with S± the right/left shift operators on the lattice View the MathML source) and the spectrum of H to be a compact interval [E-,E+], E-
S. L. Clark et al., "Trace Formulas and Borg-type Theorems for Matrix-Valued Jacobi and Dirac Finite Difference Operators," Journal of Differential Equations, Elsevier, Jan 2005.
The definitive version is available at http://dx.doi.org/10.1016/j.jde.2005.04.013
Mathematics and Statistics
Keywords and Phrases
Borg Theorems; Dirac Difference Operators; Dirac Equation; Jacobi Operators; Trace Formulas
Article - Journal
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