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Correlations between Maxwell's multipoles for gaussian random functions on the sphere

M. R. Dennis
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Abstract

Maxwell's multipoles are a natural geometric characterisation of real functions on the sphere (with fixed $\ell$). The correlations between multipoles for gaussian random functions are calculated, by mapping the spherical functions to random polynomials. In the limit of high $\ell,$ the 2-point function tends to a form previously derived by Hannay in the analogous problem for the Majorana sphere. The application to the cosmic microwave background (CMB) is discussed.

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BibTeXRIS

M. R. Dennis. 2005-02-01. Correlations between Maxwell's multipoles for gaussian random functions on the sphere. https://doi.org/10.1088/0305-4470/38/8/002

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