The spectrum of Kleininan manifolds
Differential Geometry
2007-05-23 v1 Representation Theory
Abstract
We obtain the Plancherel theorem for the quotient of a simple Lie group of real rank one by a convex-cocompact discrete subgroup and its consequences for the spectrum of locally invariant differential operators on bundles over Kleinian manifolds. We develop a geometric version of scattering theory. The paper is an update of dg-ga/9609011, which is completely rewritten from the point of view of representation theory. In particular, we are now able to show the meromorphy of Eisenstein series for all parameters.
Keywords
Cite
@article{arxiv.math/9810146,
title = {The spectrum of Kleininan manifolds},
author = {U. Bunke and M. Olbrich},
journal= {arXiv preprint arXiv:math/9810146},
year = {2007}
}
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79 pages