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Published October 1993 | Published + Accepted Version
Journal Article Open

Trace formulae and inverse spectral theory for Schrödinger operators

Abstract

We extend the well-known trace formula for Hill's equation to general one-dimensional Schrödinger operators. The new function ξ, which we introduce, is used to study absolutely continuous spectrum and inverse problems.

Additional Information

© 1993 American Mathematical Society. Received by the editors February 2, 1993. The first author gratefully acknowledges support by the Norwegian Research Council for Science and the Humanities (NAVF) and by Caltech. The second author is grateful to the Norwegian Research Council for Science and the Humanities (NAVF) for support. The research of the third author was partially supported by USNSF Grant DMS-9101716.

Attached Files

Published - S0273-0979-1993-00431-2.pdf

Accepted Version - 9310229

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August 20, 2023
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