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

Domenico Marinucci and Giovanni Peccati
Publisher: 
Cambridge University Press
Publication Date: 
2011
Number of Pages: 
341
Format: 
Paperback
Series: 
London Mathematical Society Lecture Note Series 389
Price: 
70.00
ISBN: 
9780521175616
Category: 
Monograph
We do not plan to review this book.

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.

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