
Ebook Info
- Published: 2011
- Number of pages: 354 pages
- Format: PDF
- File Size: 1.74 MB
- Authors: Domenico Marinucci
Description
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.
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Free Download Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series Book 389) 1st Edition in PDF format
Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series Book 389) 1st Edition PDF Free Download
Download Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series Book 389) 1st Edition 2011 PDF Free
Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series Book 389) 1st Edition 2011 PDF Free Download
Download Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series Book 389) 1st Edition PDF
Free Download Ebook Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series Book 389) 1st Edition