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 https://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
International Standard Serial Number (ISSN)
Article - Journal
© 2005 Elsevier, All rights reserved.
01 Jan 2005