Symbolic Functional Calculus and N-Body Resolvent Estimates

✍ Scribed by Andrew Hassell; András Vasy

• Book ID: 102593448
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 245 KB
• Volume: 173
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.2000.3569

✦ Synopsis

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 Ge rard et al. (1994, Commutator Algebra and Resolvent Estimates,'' Advanced Studies in Pure Mathematics, Vol. 23, Math. Soc. Japan, Tokyo) to obtain N-body resolvent estimates. As an application, we construct the plane waves for an N-body, short range Schro dinger operator and obtain a scattering wavefront set estimate.