"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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