De Branges functions of Schroedinger equations
Complex Variables
2015-10-28 v1 Spectral Theory
Abstract
We characterize the Hermite-Biehler (de Branges) functions which correspond to Shroedinger operators with potential on the finite interval. From this characterization one can easily deduce a recent theorem by Horvath. We also obtain a result about location of resonances.
Cite
@article{arxiv.1510.07792,
title = {De Branges functions of Schroedinger equations},
author = {Anton Baranov and Yurii Belov and Alexei Poltoratski},
journal= {arXiv preprint arXiv:1510.07792},
year = {2015}
}
Comments
15 pages