On the inverse spectral theory of Schrödinger and Dirac operators

Horváth, Miklós

doi:10.1090/S0002-9947-01-02765-9

On the inverse spectral theory of Schrödinger and Dirac operators
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by Miklós Horváth

Trans. Amer. Math. Soc. 353 (2001), 4155-4171

DOI: https://doi.org/10.1090/S0002-9947-01-02765-9

Published electronically: May 17, 2001

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Abstract:

We prove that under some conditions finitely many partially known spectra and partial information on the potential entirely determine the potential. This extends former results of Hochstadt, Lieberman, Gesztesy, Simon and others.

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