Mathematische Zeitschrift

, Volume 245, Issue 3, pp 597–617 | Cite as

Inverse spectral theory for one-dimensional Schrödinger operators: The A function

  • Christian Remling


We link recently developed approaches to the inverse spectral problem (due to Simon and myself, respectively). We obtain a description of the set of Simon’s A functions in terms of a positivity condition. This condition also characterizes the solubility of Simon’s fundamental equation.


Spectral Theory Spectral Problem Positivity Condition Fundamental Equation Inverse Spectral Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Fachbereich Mathematik/InformatikUniversität OsnabrückOsnabrückGermany

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