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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Trace formulae and inverse spectral theory for Schrödinger operators


Authors: F. Gesztesy, H. Holden, B. Simon and Z. Zhao
Journal: Bull. Amer. Math. Soc. 29 (1993), 250-255
MSC (2000): Primary 34L40; Secondary 34A55, 34B24, 47E05
MathSciNet review: 1215308
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Abstract: We extend the well-known trace formula for Hill's equation to general one-dimensional Schrödinger operators. The new function $ \xi $, which we introduce, is used to study absolutely continuous spectrum and inverse problems.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1993-00431-2
PII: S 0273-0979(1993)00431-2
Article copyright: © Copyright 1993 American Mathematical Society