1302.4049 (Gyorgy Terdik)

Angular Spectra for non-Gaussian Isotropic Fields    [PDF]

Gyorgy Terdik

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 between 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

View original: http://arxiv.org/abs/1302.4049