The massive Feynman propagator on asymptotically Minkowski spacetimes II

Abstract

We consider the massive Klein-Gordon equation on short-range asymptotically Minkowski spacetimes. Extending our results in [GW1], we show that the Klein-Gordon operator with Feynman type boundary conditions at infinite times is invertible and that its inverse, called the Feynman inverse, satisfies the microlocal conditions of Feynman parametrices in the sense of Duistermaat and H\"ormander. This supplements the recent work of Vasy with more explicit techniques.