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arXiv · 1510.07792

De Branges functions of Schroedinger equations

Anton Baranov·Yurii Belov·Alexei Poltoratski
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Abstract

We characterize the Hermite-Biehler (de Branges) functions $E$ which correspond to Shroedinger operators with $L^2$ 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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Anton Baranov, Yurii Belov, Alexei Poltoratski. 2015-10-27. De Branges functions of Schroedinger equations. https://arxiv.org/abs/1510.07792

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