We construct a class of elliptic operators in the edge algebra on a manifold M with an embedded submanifold Y interpreted as an edge. The ellipticity refers to a principal symbolic structure consisting of the standard interior symbol and an operator-valued edge symbol. Given a differential operator A on M for every (sufficiently large) s we construct an associated operator As in the edge calculus. We show that ellipticity of A in the usual sense entails ellipticity of As as an edge operator (up to a discrete set of reals s). Parametrices P of A then correspond to parametrices Ps of As, interpreted as Mellin-edge representations of P.
Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2662 |
Date | January 2003 |
Creators | Dines, Nicoleta, Schulze, Bert-Wolfgang |
Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik |
Source Sets | Potsdam University |
Language | English |
Detected Language | English |
Type | Preprint |
Format | application/pdf |
Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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