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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On the inverse spectral theory of Schrödinger and Dirac operators
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by Miklós Horváth PDF
Trans. Amer. Math. Soc. 353 (2001), 4155-4171 Request permission

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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Additional Information
  • Miklós Horváth
  • Affiliation: Budapest University of Technology and Economics, Institute of Mathematics, H 1111 Budapest, Műegyetem rkp. 3-9, Hungary
  • Email: horvath@math.bme.hu
  • Received by editor(s): February 16, 2000
  • Received by editor(s) in revised form: June 7, 2000
  • Published electronically: May 17, 2001
  • Additional Notes: Research supported by the Hungarian NSF Grant OTKA T#32374
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 4155-4171
  • MSC (1991): Primary 34A55, 34B20; Secondary 34L40, 47A75
  • DOI: https://doi.org/10.1090/S0002-9947-01-02765-9
  • MathSciNet review: 1837225