De Branges functions of Schroedinger equations
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- Baranov, A., Belov, Y. & Poltoratski, A. Collect. Math. (2017) 68: 251. doi:10.1007/s13348-016-0168-0
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We characterize the Hermite–Biehler (de Branges) functions E which correspond to Schroedinger 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.