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We consider the action of the d'Alembertian on the functions on thepseudo-Riemannian 3-dimensional Anti-de Sitter space. We determine theresonances of this operator. With each resonance one can associate a residuerepresentation. We give an explicit description of these representations viaLanglands parameters.

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