Random Fields on the Sphere

Random Fields on the Sphere

4.11 - 1251 ratings - Source

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.[122] Koornwinder, T.H. (2008), Representations of SU(2) and Jacobi polynomials, preprint, available online http://staff.science.uva.nl/ thk/edu/ orthopoly.pdf. ... [127] Liboff, R.L. (1999) Introductory Quantum Mechanics, Addison-Wesley.

Title:Random Fields on the Sphere
Author: Domenico Marinucci, Giovanni Peccati
Publisher:Cambridge University Press - 2011-08-25

You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.

Once you have finished the sign-up process, you will be redirected to your download Book page.

How it works:
  • 1. Register a free 1 month Trial Account.
  • 2. Download as many books as you like (Personal use)
  • 3. Cancel the membership at any time if not satisfied.

Click button below to register and download Ebook
Privacy Policy | Contact | DMCA