281 citations · 2.6k across the 85 of their papers we have counts for
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Asymptotics of the Weyl Function for Schrödinger Operators with Measure-Valued Potentials
Annemarie Luger, Gerald Teschl, Tobias Wöhrer
We derive an asymptotic expansion for the Weyl function of a one-dimensional Schrödinger operator which generalizes the classical formula by Atkinson. Moreover, we show that the as…
Spectral asymptotics for canonical systems
Jonathan Eckhardt, Aleksey Kostenko, Gerald Teschl
Based on continuity properties of the de Branges correspondence, we develop a new approach to study the high-energy behavior of Weyl-Titchmarsh and spectral functions of …
On Spectral Deformations and Singular Weyl Functions for One-Dimensional Dirac Operators
Alexander Beigl, Jonathan Eckhardt, Aleksey Kostenko +1
We investigate the connection between singular Weyl-Titchmarsh-Kodaira theory and the double commutation method for one-dimensional Dirac operators. In particular, we compute the s…
Dispersion Estimates for One-dimensional Discrete Schrödinger and Wave Equations
Iryna Egorova, Elena Kopylova, Gerald Teschl
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Schrödinger and wave equations. In particular, we improve upon previous works and weaken the…
Inverse Spectral Problems for Schrödinger-Type Operators with Distributional Matrix-Valued Potentials
Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +2
The principal purpose of this note is to provide a reconstruction procedure for distributional matrix-valued potential coefficients of Schrödinger-type operators on a half-line fro…
One-dimensional Schroedinger operators with delta-prime-interactions on Cantor-type sets
Jonathan Eckhardt, Aleksey Kostenko, Mark Malamud +1
We introduce a novel approach for defining a -interaction on a subset of the real line of Lebesgue measure zero which is based on Sturm-Liouville differential expression with m…