Resonances of the d'Alembertian on the Anti-de Sitter space $<mrow><mi\; mathvariant="normal">S</mi><msub><mi\; mathvariant="normal">O</mi><mi\; mathvariant="normal">e</mi></msub></mrow>(2,2)\mathrm{/}<mrow><mi\; mathvariant="normal">S</mi><msub><mi\; mathvariant="normal">O</mi><mi\; mathvariant="normal">e</mi></msub></mrow>(2,1)$

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.