De Branges functions of Schroedinger equations

@article{Baranov2015DeBF,
  title={De Branges functions of Schroedinger equations},
  author={A. D. Baranov and Yurii Belov and Alexei Poltoratski},
  journal={Collectanea Mathematica},
  year={2015},
  volume={68},
  pages={251-263}
}
We characterize the Hermite–Biehler (de Branges) functions E which correspond to Schroedinger operators with $$L^2$$L2 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. 
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