2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70664On an asymptotically hyperbolic manifold (X,g), we show that the resolvent resonances coincide, with multiplicities, with the poles of the renormalized scattering operator, except for the special points n/2-k (with k>0 integer) where an additional term appears: this is the dimension of the kernel of the k-conformal Laplacian on the boundary when (X,g) is Einstein.13 pagesDifferential GeometryFunctional AnalysisSpectral Theory58J50, 35P25text