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Paper detail

Angular Spectra for non-Gaussian Isotropic Fields

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

preprint2013arXivOpen access
Gyorgy Terdik
astro-ph.COApplicationsmath-phmath.MP
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Gyorgy Terdik

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