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 asymptotically hyperbolic spaces and an asymptotically de Sitter space, and compute the scattering operator of the linked problem in terms of the scattering operator of the constituent pieces.
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