Symbolic functional calculus and N-body resolvent estimates

We construct a functional calculus for symbolic functions of "scattering ps eudodifferential operators" on manifolds with boundary. This is applied to obtain mapping results on the scattering wavefront set of the B operator us ed by Gerard er ni. (1994, "Commutator Algebra and Resolvent Estimates," Ad vanced Studies in Pure Mathematics, Vol. 23, Math. Sec. Japan, Tokyo) to ob tain N-body resolvent estimates. As an application, we construct the plane waves for an N-body, short range Schrodinger operator and obtain a scatteri ng wavefront set estimate. (C) 2000 Academic Press.