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Some characterizations of the spherical harmonics coefficients for isotropic random fields

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arxiv math/0606709 v1 pith:CRAA34SH submitted 2006-06-28 math.PR math.STstat.TH

P. Baldi , D. Marinucci This is my paper
classification math.PRmath.STstat.TH
keywords coefficientsharmonicsisotropicsphericalcharacterizationsfieldsrandomsome
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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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