Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
Spectral Theory
2007-05-23 v2 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.math/0311424,
title = {Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds},
author = {Colin Guillarmou},
journal= {arXiv preprint arXiv:math/0311424},
year = {2007}
}
Comments
23 pages, 2 figures