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

Roelof Bruggeman (author)|Anke Dorothea Pohl (author)

 
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)
Softcover
ISBN 10: 1470465450 ISBN 13: 9781470465452
Publisher: American Mathematical Society, 2023

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.

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About the Author

Roelof Bruggeman, Universiteit Utrecht, The Netherlands.

Anke Dorothea Pohl, University of Bremen, Germany.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2023
Language
English
ISBN 10 
1470465450
ISBN 13 
9781470465452
Binding
Paperback
Number of pages
172