Scattering Theory for P-forms on Hyperbolic Real Space
نویسنده
چکیده
Abstract. Due to spectral obstructions, a scattering theory in the LaxPhillips sense for the wave equation for differential p-forms on H 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, when n = 2p, Huygens’ principle does hold and thus in this case incoming and outgoing subspaces can be constructed.
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