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Random Fields on the Sphere

Name: Random Fields on the Sphere
Brand: Cambridge University Press
SKU: 04385268
Price: 591.43 RON
Availability: InStock
Author: Domenico Marinucci
ISBN: 9780521175616

Representation, Limit Theorems and Cosmological Applications

Domenico Marinucci

Limba

engleză

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Codul Libristo: 04385268

Editura Cambridge University Press, august 2011

Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields.... Descrierea completă

Codul Libristo: 04385268

272 b

591.43 lei

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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.