64 citations · 236 across the 39 of their papers we have counts for
4 papers · 2 filters
Non-self-adjoint operators, infinite determinants, and some applications
Fritz Gesztesy, Yuri Latushkin, Marius Mitrea +1
We study various spectral theoretic aspects of non-self-adjoint operators. Specifically, we consider a class of factorable non-self-adjoint perturbations of a given unperturbed non…
On Spectral Theory for Schrödinger Operators with Strongly Singular Potentials
Fritz Gesztesy, Maxim Zinchenko
We examine two kinds of spectral theoretic situations: First, we recall the case of self-adjoint half-line Schrödinger operators on , , with a regular f…
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…
Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circle
Fritz Gesztesy, Maxim Zinchenko
We provide a detailed treatment of Weyl-Titchmarsh theory for half-lattice and full-lattice Cantero-Moral-Velazquez (CMV) operators and discuss their systems of orthonormal Laurent…