The spectrum of Kleinian manifolds

Details The spectrum of Kleinian manifolds The spectrum of Kleinian manifolds

1996-09-30

arxiv.org/abs/dg-ga/9609011v1

Mathematics

Differential Geometry

64 pages, LATEX

Scientific paper

A Kleinian manifold Y is a quotient of a rank-one symmetric space of non-compact type by a convex-cocompact discrete group of isometries. We describe the spectral decomposition of the space of square integrable sections of locally homogeneous bundles on Y with respect to locally invariant differential operators. In the course of the proof we obtain meromorphic continuations of Eisenstein series and scattering matrices.

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