61 citations · 130 across the 4 of their papers we have counts for
4 papers
Inverse uniqueness results for one-dimensional weighted Dirac operators
Jonathan Eckhardt, Aleksey Kostenko, Gerald Teschl
Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue of singular Weyl-Titchmarsh-Kodaira theory. Using the theory of de Branges spaces we show…
On the Singular Weyl-Titchmarsh Function of Perturbed Spherical Schroedinger Operators
Aleksey Kostenko, Gerald Teschl
We investigate the singular Weyl-Titchmarsh m-function of perturbed spherical Schroedinger operators (also known as Bessel operators) under the assumption that the perturbation $q(…
1--D Schrödinger operators with local interactions on a discrete set
Aleksey Kostenko, Mark Malamud
Spectral properties of 1-D Schrödinger operators with local point interactions on a discrete…
The similarity problem for -nonnegative Sturm-Liouville operators
Illya M. Karabash, Aleksey S. Kostenko, Mark M. Malamud
Sufficient conditions for the similarity of the operator with an indefinite weight $r(x)=(\sgn x)|r(x)|$ are obtained. These conditions are formulat…