Some characterizations of the spherical harmonics coefficients for isotropic random fields
Probability
2007-06-13 v1 Statistics Theory
Statistics Theory
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.
Cite
@article{arxiv.math/0606709,
title = {Some characterizations of the spherical harmonics coefficients for isotropic random fields},
author = {P. Baldi and D. Marinucci},
journal= {arXiv preprint arXiv:math/0606709},
year = {2007}
}
Comments
9 pages. Submitted June 2005