The Dirichlet-to-Neumann map on asymptotically anti-de Sitter spaces and holography

Alberto Enciso, Gunther Uhlmann, Michał Wrochna

We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes, and show that the forward Dirichlet-to-Neumann map (or scattering matrix) is a fractional power o…