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Research Report MRR98-018

Symbolic functional calculus and N body resolvent estimates

Andrew Hassell and Andras Vasy

Abstract: We construct a functional calculus for symbolic functions of `scattering pseudodifferential operators' on manifolds with boundary. This is applied to obtain mapping results on the scattering wavefront set of the B operator used by Gérard, Isozaki and Skibsted to obtain N body resolvent estimates. As an application, we construct the plane waves for an N body, short range Schrödinger operator and obtain a scattering wavefront set estimate.

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