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• W2092982079 abstract "In recent years, a rapidly growing literature has focussed on the construction of wavelet systems to analyze functions defined on the sphere. Our purpose in this paper is to generalize these constructions to situations where sections of line bundles, rather than ordinary scalar-valued functions, are considered. In particular, we propose {em needlet-type spin wavelets} as an extension of the needlet approach recently introduced by Narcowich, Petrushev and Ward, and then considered for more general manifolds by Geller and Mayeli. We discuss localization properties in the real and harmonic domains, and investigate stochastic properties for the analysis of spin random fields. Our results are strongly motivated by cosmological applications, in particular in connection to the analysis of Cosmic Microwave Background polarization data." @default.
• W2092982079 created "2016-06-24" @default.
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• W2092982079 date "2008-11-18" @default.
• W2092982079 modified "2023-10-16" @default.
• W2092982079 title "Spin Wavelets on the Sphere" @default.
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• W2092982079 hasPublicationYear "2008" @default.
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