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A remark on the index of symmetric operators

We introduce a natural symmetry condition for a pseudodifferential operator on a manifold with cylindrical ends ensuring that the operator admits a doubling across the boundary. For such operators we prove an explicit index formula containing, apart from the Atiyah-Singer integral, a finite number of residues of the logarithmic derivative of the conormal symbol.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2516
Date January 1998
CreatorsFedosov, Boris, Schulze, Bert-Wolfgang, Tarkhanov, Nikolai N.
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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