Book contents
- Frontmatter
- Contents
- 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
- 13 Appendix
- References
- Index
4 - Background Results in Probability and Graphical Methods
Published online by Cambridge University Press: 07 October 2011
Book contents
- Frontmatter
- Contents
- 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
- 13 Appendix
- References
- Index
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- Random Fields on the SphereRepresentation, Limit Theorems and Cosmological Applications, pp. 85 - 113Publisher: Cambridge University PressPrint publication year: 2011