Resolvents, Poisson operators and scattering matrices on asymptotically hyperbolic and de Sitter spaces

Abstract

We describe how the global operator induced on the boundary of an asymptotically Minkowski space links two even asymptotically hyperbolic spaces and an even asymptotically de Sitter space, and compute the scattering operator of the linked problem in terms of the scattering operator of the constituent pieces.