De Branges functions of Schroedinger equations

• Autores: Alexander Baranov, Yurii Belov, Alexei Poltoratski
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 68, Fasc. 2, 2017, págs. 251-263
• Idioma: inglés
• DOI: 10.1007/s13348-016-0168-0
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• Resumen

  • We characterize the Hermite–Biehler (de Branges) functions E which correspond to Schroedinger operators with ?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.