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

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 operato...

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Bibliographic Details
Main Authors: Bruggeman, Roelof, Pohl, Anke Dorothea
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2023
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Number theory
Number theory-Data processing
infinite covolume
transfer operator
period functions
mixed cohomology
cohomology
automorphic forms
Hecke triangle groups
funnel forms
ISBN:9781470465452, 1470465450
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary: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.
Bibliography:Includes bibliographical references (p. 165-167) and index
July 2023, volume 287, number 1423 (first of 6 numbers)
ISBN:9781470465452
1470465450
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1423