You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
Scattering Poles for Asymptotically Hyperbolic Manifolds
Contributor:
Borthwick, David;
Perry, Peter
Published:
American Mathematical Society, 2002
Published in:
Transactions of the American Mathematical Society, 354 (2002) 3, Seite 1215-1231
Language:
English
ISSN:
0002-9947
Origination:
Footnote:
Description:
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 the resonances of the meromorphically continued resolvent kernel for the Laplacian on X coincide, with multiplicities, with the poles of the meromorphically 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 resolvent resonances and scattering poles are simple for generic potential perturbations.