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The Spectrum of Hyperbolic Surfaces
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called "arithmetic hyperbolic surfaces", the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods i...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Édition: | 1st ed. 2016. |
| Collection: | Universitext,
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| Sujets: | |
| Accès en ligne: | Texto Completo |
Table des matières:
- Preface
- Introduction
- Arithmetic Hyperbolic Surfaces
- Spectral Decomposition
- Maass Forms
- The Trace Formula
- Multiplicity of lambda1 and the Selberg Conjecture
- L-Functions and the Selberg Conjecture
- Jacquet-Langlands Correspondence
- Arithmetic Quantum Unique Ergodicity
- Appendices
- References
- Index of notation
- Index
- Index of names.