Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
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A01=Anke Dorothea Pohl
A01=Roelof Bruggeman
Author_Anke Dorothea Pohl
Author_Roelof Bruggeman
Category=PBF
Category=PBMW
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Product details
- ISBN 9781470465452
- Dimensions: 178 x 254mm
- Publication Date: 31 Jul 2023
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
Roelof Bruggeman, Universiteit Utrecht, The Netherlands.
Anke Dorothea Pohl, University of Bremen, Germany.
Anke Dorothea Pohl, University of Bremen, Germany.
