
arXiv: 1208.6178
For nonuniform cofinite Fuchsian groups $Γ$ which satisfy a certain additional geometric condition, we show that the Maass cusp forms for $Γ$ are isomorphic to 1-eigenfunctions of a finite-term transfer operator. The isomorphism is constructive.
32 pages, to appear in Journal of Modern Dynamics
Primary: 11F37, 37C30, Secondary: 37B10, 37D35, 37D40, 11F67, Mathematics - Number Theory, FOS: Mathematics, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems
Primary: 11F37, 37C30, Secondary: 37B10, 37D35, 37D40, 11F67, Mathematics - Number Theory, FOS: Mathematics, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems
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