6 papers · 1 filter
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…
On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
Steve Clark, Fritz Gesztesy
We develop the basic theory of matrix-valued Weyl-Titchmarsh M-functions and the associated Green's matrices for whole-line and half-line self-adjoint Hamiltonian finite difference…
On Povzner--Wienholtz-type Self-Adjointness Results for Matrix-Valued Sturm--Liouville Operators
Steve Clark, Fritz Gesztesy
We derive Povzner--Wienholtz-type self-adjointness results for matrix-valued Sturm--Liouville operators $T=R^{-1}\big[-\f{d}{dx}P\f{d}{dx}+Q\big]$ in …
Weyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
Steve Clark, Fritz Gesztesy
We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with general Dirac-type operators on half-lines and on . We also prove new local u…
Borg-Type Theorems for Matrix-Valued Schrödinger Operators
Steve Clark, Fritz Gesztesy, Helge Holden +1
A Borg-type uniqueness theorem for matrix-valued Schrödinger operators is proved. More precisely, assuming a reflectionless potential matrix and spectrum a half-line ,…
Weyl-Titchmarsh M-Function Asymptotics for Matrix-Valued Schrödinger Operators
Steve Clark, Fritz Gesztesy
We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with general matrix-valued Schrödinger operators on a half-line.