Harmonic analysis on symmetric spaces : Euclidean space, the sphere, and the Poincaré upper half-plane
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal st...
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
New York, NY :
Springer New York
2013.
Cham : Springer Nature |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Harmonic analysis on symmetric spaces, Euclidean space, the sphere, and the Poincarée upper half-plane, Audrey Terras, Second edition, New York, Springer, 2013, 1 vol. (XVII-413 p.), 1-461-47971-1 • Harmonic Analysis on Symmetric Spaces Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane, Texte imprimé, 9781461479734 • Harmonic Analysis on Symmetric Spaces Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane, Texte imprimé, 9781493950133 |
Spis treści:
- Chapter 1 Flat Space. Fourier Analysis on R^m.
- 1.1 Distributions or Generalized Functions
- 1.2 Fourier Integrals
- 1.3 Fourier Series and the Poisson Summation Formula
- 1.4 Mellin Transforms, Epstein and Dedekind Zeta Functions
- 1.5 Finite Symmetric Spaces, Wavelets, Quasicrystals, Weyl s Criterion for Uniform Distribution
- Chapter 2 A Compact Symmetric Space--The Sphere
- 2.1 Fourier Analysis on the Sphere
- 2.2 O(3) and R^3. The Radon Transform
- Chapter 3 The Poincaré Upper Half-Plane
- 3.1 Hyperbolic Geometry
- 3.2 Harmonic Analysis on H
- 3.3 Fundamental Domains for Discrete Subgroups of G = SL(2, R)
- 3.4 Modular of Automorphic Forms--Classical
- 3.5 Automorphic Forms--Not So Classical--Maass Waveforms
- 3.6 Modular Forms and Dirichlet Series. Hecke Theory and Generalizations
- References
- Index.