175 citations
- Purdue University West LafayetteUS5 papers
- University of KentuckyUS3 papers
- Missouri University of Science and TechnologyUS2 papers
- National Radio Astronomy ObservatoryUS2 papers
- Norwegian University of Science and TechnologyNO2 papers
- Romanian AcademyRO2 papers
- University of Alabama at BirminghamUS2 papers
- University of Notre DameUS2 papers
- University of VirginiaUS2 papers
- Vorarlberg University of Applied SciencesAT2 papers
- Ames National LaboratoryUS1 paper
- California Institute of TechnologyUS1 paper
8 papers · 1 filter
A Borg-Type Theorem Associated with Orthogonal Polynomials on the Unit Circle
Fritz Gesztesy, Maxim Zinchenko
We prove a general Borg-type result for reflectionless unitary Cantero-Moral-Velazquez (CMV) operators U associated with orthogonal polynomials on the unit circle. The spectrum of…
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…
J-Self-Adjointness of a Class of Dirac-Type Operators
Radu Cascaval, Fritz Gesztesy
In this note we prove that the maximally defined operator associated with a class of Dirac-type differential expressions M(Q) is J-self-adjoint with respect to a proper antilinear…
(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited
Fritz Gesztesy, Konstantin A. Makarov
We revisit the computation of (2-modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels. The latter occur, for instance, in the form of Gr…
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…
Asymptotics for a resonance-counting function for potential scattering on cylinders
T. Christiansen
We study certain resonance-counting functions for potential scattering on infinite cylinders or half-cylinders. Under certain conditions on the potential, we obtain asymptotics of…