Angular Spectra for non-Gaussian Isotropic Fields
Applications
2013-12-30 v2 Cosmology and Nongalactic Astrophysics
Mathematical Physics
math.MP
Abstract
Cosmic Microwave Background (CMB) Anisotropies is a subject of intensive research in several fields of sciences. In this paper we start a systematic development of basic notions and theory in statistics according to the application for CMB. The main result of this paper is the necessary and sufficient condition for isotropy of a non-Gaussian field in terms of spectra. Clear formulae for bi-, tri- and polyspectra and bi-, tri-, and higher order covariances are also given. Keywords: Bispectrum, Trispectrum, Angular poly-Spectra, Cosmic microwave background radiation; Gaussianity; spherical random fields
Cite
@article{arxiv.1302.4049,
title = {Angular Spectra for non-Gaussian Isotropic Fields},
author = {Gyorgy Terdik},
journal= {arXiv preprint arXiv:1302.4049},
year = {2013}
}
Comments
53 pages