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Resolvents of cone pseudodifferential operators, asymptotic expansions and applications

✍ Scribed by Juan B. Gil; Paul A. Loya


Publisher
Springer-Verlag
Year
2007
Tongue
French
Weight
615 KB
Volume
259
Category
Article
ISSN
0025-5874

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Full asymptotic expansion of the heat tr
✍ Juan B. Gil πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 458 KB

## Abstract The operator __e__^–__tA__^ and its trace Tr __e__^–__tA__^, for __t__ > 0, are investigated in the case when __A__ is an elliptic differential operator on a manifold with conical singularities. Under a certain spectral condition (parameter–ellipticity) we obtain a full asymptotic expan