Random Fileds on the Sphere: Representation, Limit Theorems and Cosmological Applications

Preface
1. Introduction
2. Background results in representation theory
3. Representations of SO(3) and harmonic analysis on S2
4. Background results in probability and graphical methods
5. Spectral representations
6. Characterizations of isotropy
7. Limit theorems for Gaussian subordinated random fields
8. Asymptotics for the sample power spectrum
9. Asymptotics for sample bispectra
10. Spherical needlets and their asymptotic properties
11. Needlets estimation of power spectrum and bispectrum
12. Spin random fields
Appendix
Bibliography
Index.