Some characterizations of the spherical harmonics coefficients for isotropic random fields
classification
🧮 math.PR
math.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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