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"The purpose of this monograph is to discuss recent developments in the analysis of isotropic spherical random fields, with a view towards applications in Cosmology.We shall be concerned in particular with the interplay among three leading themes, namely: - the connection between isotropy, representation of compact groups and spectral analysis for random fields, including the characterization of polyspectra and their statistical estimation - the interplay between Gaussianity, Gaussian subordination, nonlinear statistics, and recent developments in the methods of moments and diagram formulae to establish weak convergence results - the various facets of high-resolution asymptotics, including the high-frequency behaviour of Gaussian subordinated random fields and asymptotic statistics in the high-frequency sense"--

Spherical harmonics. --- Random fields. --- Compact groups. --- Cosmology --- Astronomy --- Deism --- Metaphysics --- Groups, Compact --- Locally compact groups --- Topological groups --- Fields, Random --- Stochastic processes --- Functions, Potential --- Potential functions --- Harmonic analysis --- Harmonic functions --- Statistical methods.