Resonances of the d'Alembertian on the Anti-de Sitter space SOe(2,2)/SOe(2,1)
Abstract
We consider the action of the d'Alembertian on the functions on the pseudo-Riemannian 3-dimensional Anti-de Sitter space. We determine the resonances of this operator. With each resonance one can associate a residue representation. We give an explicit description of these representations via Langlands parameters.
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