Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
arXiv:math/0311424
Abstract
We show that the resolvent of the Laplacian on asymptotically hyperbolic spaces extends meromorphically with finite rank poles to the complex plane if and only if the metric is `even' (in a sense). If it is not even, there exist some cases where the resolvent has an essential singularity in the non-physical sheet.
23 pages, 2 figures