We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume and the dynamics of their geodesic flows.

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Bibliographic Details

Title: Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
Publisher: American Mathematical Society, US
Publication Date: 2023
Language: English
ISBN 10: 1470465450
ISBN 13: 9781470465452
Binding: Paperback
Condition: New

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