Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume 1

Vetenskap & teknik

Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume

Roelof Bruggeman • Anke Dorothea Pohl

Pocket

1489:-

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172 sidor
2023

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.

Författare: Roelof Bruggeman, Anke Dorothea Pohl
Format: Pocket/Paperback
ISBN: 9781470465452
Språk: Engelska
Antal sidor: 172
Utgivningsdatum: 2023-07-31
Förlag: American Mathematical Society