For a class of manifolds X that includes quotients of real hyperbolic (n 1)-dimensional space by a convex co-compact discrete group, we show that th
e resonances of the meromorphically continued resolvent kernel for the Lapl
acian on X coincide, with multiplicities, with the poles of the meromorphic
ally continued scattering operator for X. In order to carry out the proof,
we use Shmuel Agmon's perturbation theory of resonances to show that both r
esolvent resonances and scattering poles are simple for generic potential p
erturbations.