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

Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume - Memoirs of the American Mathematical Society

Paperback (31 Jul 2023)

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Publisher's Synopsis

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.

Book information

ISBN: 9781470465452
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 512.7
DEWEY edition: 23/eng/20231004
Language: English
Number of pages: 172
Weight: -1g
Height: 254mm
Width: 178mm