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A TRACE FORMULA FOR THE DIRAC OPERATOR

Published online by Cambridge University Press:  12 December 2005

D. R. YAFAEV
D. R. YAFAEV
Affiliation:
IRMAR, Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France, yafaev@univ-rennes1.fr
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Abstract

The theory of the spectral shift function is extended to the case where only the difference of some powers of the resolvents of self-adjoint operators belongs to the trace class. As an example, a pair of Dirac operators is considered.

Keywords

47A4047A55
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 6 , December 2005 , pp. 908 - 918
Copyright
© The London Mathematical Society 2005

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Footnotes

Research partially supported by SPECT.