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dg-gaJun 1, 1995
23
citations (OpenAlex)
authors
  • U. Bunke
  • M. Olbrich
institutions
  • University of Göttingen
arXiv abstractPDF
paper

Fuchsian groups of the second kind and representations carried by the limit set

arXiv:dg-ga/9506001 · doi:10.1007/s002220050117

Abstract

We compute the cohomology of a Fuchsian group of the second kind with coefficients in the hyperfunction vectors of the principal series representations of SL(2,R) supported on the limit set.

22 pages, LATEX

References in corpus (1)

  • Eisenstein series and Scattering matrices

Cited by in corpus (9)

  • Spectral gaps, additive energy, and a fractal uncertainty principle
  • Power spectrum of the geodesic flow on hyperbolic manifolds
  • Higher rank quantum-classical correspondence
  • Cohomology of convex cocompact groups and invariant distributions on limit sets
  • Eisenstein series and Scattering matrices
  • Resonances and scattering poles on asymptotically hyperbolic manifolds
  • Wave 0-Trace and length spectrum on convex co-compact hyperbolic manifolds
  • Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
  • Analysis on Symmetric and Locally Symmetric Spaces (Multiplicities, Cohomology and Zeta functions)
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