Cohomological Theory of Dynamical Zeta Functions
Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta fu...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
2001, 2001
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| Edition: | 1st ed. 2001 |
| Series: | Progress in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Preliminaries
- 3. Zeta Functions of the Geodesic Flow of Compact Locally Symmetric Manifolds
- 4. Operators and Complexes
- 5. The Verma Complexes on SY and SX
- 6. Harmonic Currents and Canonical Complexes
- 7. Divisors and Harmonic Currents
- 8. Further Developments and Open Problems
- 9. A Summary of Important Formulas
- Index of Equations