A dynamical approach to Maass cusp forms

Abstract

For nonuniform cofinite Fuchsian groups $\Gamma$ which satisfy a certain additional geometric condition, we show that the Maass cusp forms for $\Gamma$ are isomorphic to 1-eigenfunctions of a finite-term transfer operator. The isomorphism is constructive.

32 pages, to appear in Journal of Modern Dynamics

References in corpus (3)

• Transfer operators for ${\Gamma }_0(n)$ and the Hecke operators for the period functions for $PSL(2,Z)$
• Eigenfunctions of transfer operators and cohomology
• A realization of the Hecke algebra on the space of period functions for Gamma_0(n)