23 citations · 95 across the 27 of their papers we have counts for
8 papers · 1 filter
The spectrum of Kleinian manifolds
U. Bunke, M. Olbrich
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…
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
Ulrich Bunke, Martin Olbrich
We prove Patterson's conjecture about the singularities of the Selberg zeta function associated to a convex-cocompact, torsion free group acting on a hyperbolic space.
Fuchsian groups of the second kind and representations carried by the limit set
U. Bunke, M. Olbrich
We compute the cohomology of a Fuchsian group of the second kind with coefficients in the hyperfunction vectors of the principal series representations of supported on th…
Eisenstein series and Scattering matrices
Ulrich Bunke, Martin Olbrich
We provide a simple way to obtain the meromorphic extension of Eisenstein series and Scattering matrices under conditions which generalize the case of discrete groups acting convex…
-Cohomology and the Selberg Zeta Function
Ulrich Bunke, Martin Olbrich
We propose a new method for studying - and -cohomology of globalizations of Harish-Chandra modules, where is a rank one semisimple Lie group, is a discrete subgro…
A theta function for hyperbolic surfaces with cusps
Ulrich Bunke, Martin Olbrich
For a Riemann surface with cusps we define a theta function using the eigenvalues of the Laplacian and the singularities of the scattering determinant. We provide its meromorphic c…