Random Fields on the Sphere
(Book #389 in the London Mathematical Society Lecture Note Series)
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Book Overview
Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets.
Format:Paperback
Language:English
ISBN:0521175615
ISBN13:9780521175616
Release Date:October 2011
Publisher:Cambridge University Press
Length:356 Pages
Weight:1.15 lbs.
Dimensions:0.8" x 5.9" x 8.9"
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