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• W2076288951 abstract "We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S2={(x,y,z):x2+y2+z2=1}. Our techniques rely heavily on group representation theory, and specifically on the properties of Wigner matrices and Clebsch–Gordan coefficients. The findings of the present paper constitute a basis upon which one can build formal procedures for the statistical analysis and the probabilistic modelization of the Cosmic Microwave Background radiation, which is currently a crucial topic of investigation in cosmology. We also outline an application to random data compression and “simulation” of Clebsch–Gordan coefficients." @default.
• W2076288951 created "2016-06-24" @default.
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• W2076288951 date "2010-01-01" @default.
• W2076288951 modified "2023-09-30" @default.
• W2076288951 title "Representations of SO(3) and angular polyspectra" @default.
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• W2076288951 doi "https://doi.org/10.1016/j.jmva.2009.04.017" @default.
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