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.