Spin Needlets for Cosmic Microwave Background Polarization Data Analysis

Simple item page
dc.creatorGeller, Daryl
dc.creatorHansen, Frode K.
dc.creatorMarinucci, Domenico
dc.creatorKerkyacharian, Gerard
dc.creatorPicard, Dominique
dc.date2008-11-18
dc.date2008-12-10
dc.date.accessioned2026-07-07T12:27:05Z
dc.date.available2026-07-07T12:27:05Z
dc.descriptionScalar wavelets have been used extensively in the analysis of Cosmic Microwave Background (CMB) temperature maps. Spin needlets are a new form of (spin) wavelets which were introduced in the mathematical literature by Geller and Marinucci (2008) as a tool for the analysis of spin random fields. Here we adopt the spin needlet approach for the analysis of CMB polarization measurements. The outcome of experiments measuring the polarization of the CMB are maps of the Stokes Q and U parameters which are spin 2 quantities. Here we discuss how to transform these spin 2 maps into spin 2 needlet coefficients and outline briefly how these coefficients can be used in the analysis of CMB polarization data. We review the most important properties of spin needlets, such as localization in pixel and harmonic space and asymptotic uncorrelation. We discuss several statistical applications, including the relation of angular power spectra to the needlet coefficients, testing for non-Gaussianity on polarization data, and reconstruction of the E and B scalar maps.
dc.descriptionAccepted for publication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0811.2881
dc.identifierhttp://arxiv.org/abs/0811.2881
dc.identifierPhys.Rev.D78:123533,2008
dc.identifierdoi:10.1103/PhysRevD.78.123533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215088
dc.subjectAstrophysics
dc.titleSpin Needlets for Cosmic Microwave Background Polarization Data Analysis
dc.typetext

Files

Collections

arXiv