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

ISBN: 9780521175616 出版年：2011 页码：355 Domenico Marinucci Giovanni Peccati Cambridge University Press

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.