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Some characterizations of the spherical harmonics coefficients for isotropic random fields

P. Baldi·D. Marinucci
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Abstract

In this paper we provide some simple characterizations for the spherical harmonics coefficients of an isotropic random field on the sphere. The main result is a characterization of isotropic gaussian fields through independence of the coefficients of their development in spherical harmonics.

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P. Baldi, D. Marinucci. 2006-06-28. Some characterizations of the spherical harmonics coefficients for isotropic random fields. https://arxiv.org/abs/math/0606709

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