Resonances of the d'Alembertian on the anti‐de Sitter space SOe(2,2)/SOe(2,1)$\mathop {\rm {SO_e}}(2,2)/\mathop {\rm {SO_e}}(2,1)$

Abstract

AbstractWe consider the action of the d'Alembertian on functions on the pseudo‐Riemannian three‐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.