22 citations · 62 across the 11 of their papers we have counts for
11 papers
On discrete symplectic systems: Associated maximal and minimal linear relations and nonhomogeneous problems
Stephen Clark, Petr Zemánek
In this paper we characterize the definiteness of the discrete symplectic system, study a nonhomogeneous discrete symplectic system, and introduce the minimal and maximal linear re…
Characterization of self-adjoint extensions for discrete symplectic systems
Petr Zemánek, Stephen Clark
All self-adjoint extensions of minimal linear relation associated with the discrete symplectic system are characterized. Especially, for the scalar case on a finite discrete interv…
Boundary Data Maps for Schrodinger Operators on a Compact Interval
Stephen Clark, Fritz Gesztesy, Marius Mitrea
We provide a systematic study of boundary data maps, that is, 2 \times 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional…
On Self-adjoint and J-self-adjoint Dirac-type Operators: A Case Study
Steve Clark, Fritz Gesztesy
We provide a comparative treatment of some aspects of spectral theory for self-adjoint and non-self-adjoint (but J-self-adjoint) Dirac-type operators connected with the defocusing…
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…