An excellent introduction to the theory of automorphic

The purpose of this article is to define the radiation fields on asymptotically hyperbolic manifolds and to use them to study scattering theory. The radiation fields on R n and on asymptotically Euclidean manifolds were introduced by F.G. Friedlander in a series of papers starting in the early 1960’s [10, 11, 12, 13, 14]. His program of using the radiation fields to obtain the scattering matrix in that general setting was

Abstract. Due to spectral obstructions, a scattering theory in the Lax-Phillips sense for the wave equation for differential p-forms on H n+1 cannot be developed. As a consequence, Huygens ’ principle for the wave equation in this context does not hold. If we restrict the class of forms and we consider the case of coclosed p-forms on H n+1, when n = 2p, Huygens ’ principle does hold and thus in this case incoming and outgoing subspaces can be constructed. 1.