A dynamical approach to Maass cusp forms

Anke D. Pohl

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arXiv · 1208.6178

A dynamical approach to Maass cusp forms

Anke D. Pohl

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Abstract

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.

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Anke D. Pohl. 2012-12-20. A dynamical approach to Maass cusp forms. https://arxiv.org/abs/1208.6178

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