Some characterizations of the spherical harmonics coefficients for isotropic random fields

Details Some characterizations of the spherical harmonics coefficients for isotropic random fields Some characterizations of the spherical harmonics coefficients for isotropic random fields

2006-06-28

arxiv.org/abs/math/0606709v1

Statist. Probab. Letters 77, 490--496 (2007)

Mathematics

Probability

9 pages. Submitted June 2005

Scientific paper

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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