Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume / Roelof Bruggeman, Anke Dorothea Pohl.

Author
Bruggeman, Roelof W., 1944- [Browse]
Format
Book
Language
English
Published/​Created
Providence : American Mathematical Society, 2023.
Description
vii, 172 pages : illustrations ; 26 cm.

Details

Subject(s)
Author
Series
Summary note
"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"-- Provided by publisher.
Notes
"July 2023, volume 287, number 1423 (first of 6 numbers)."
Bibliographic references
Includes bibliographical references and index.
Contents
  • Part 1. Preliminaries, properties of period functions, and some insights
  • Part 2. Semi-analytic cohomology
  • Part 3. Automorphic forms and cohomology
  • Part 4. Transfer operators and cohomology
  • Part 5. Proofs of Theorems A and B, and a recapitulation
  • Part 6. Parity
  • Part 7. Complements and outlook.
ISBN
  • 9781470465452 ((paperback))
  • 1470465450
LCCN
2023031498
OCLC
1393205913
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