Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume: Volume: 287 Number: 1423 (Memoirs of the American Mathematical Society) - Tapa blanda

Bruggeman, Roelof; Pohl, Anke Dorothea

 
9781470465452: Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume: Volume: 287 Number: 1423 (Memoirs of the American Mathematical Society)

Sinopsis

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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Acerca del autor

Roelof Bruggeman, Universiteit Utrecht, The Netherlands.

Anke Dorothea Pohl, University of Bremen, Germany.

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