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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Spectral flow as winding number and integral formulas
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by Charlotte Wahl PDF
Proc. Amer. Math. Soc. 135 (2007), 4063-4073 Request permission

Abstract:

A general integral formula for the spectral flow of a path of unbounded selfadjoint Fredholm operators subject to certain summability conditions is derived from the interpretation of the spectral flow as a winding number.
References
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Additional Information
  • Charlotte Wahl
  • Affiliation: Mathematisches Inst., Georg-August-Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany
  • Email: ac.wahl@web.de
  • Received by editor(s): July 5, 2006
  • Received by editor(s) in revised form: September 11, 2006
  • Published electronically: September 12, 2007
  • Communicated by: Mikhail Shubin
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 4063-4073
  • MSC (2000): Primary 58J30; Secondary 47B10
  • DOI: https://doi.org/10.1090/S0002-9939-07-08919-8
  • MathSciNet review: 2341959