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Mellin-edge representations of elliptic operators

✍ Scribed by N. Dines; B.-W. Schulze

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
329 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 di erential operator A on M for every (su ciently 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.

πŸ“œ SIMILAR VOLUMES

Edge quantisation of elliptic operators
Edge quantisation of elliptic operators
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