Some characterizations of the spherical harmonics coefficients for isotropic random fields

By P. Baldi, Domenico Marinucci. 2006

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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.

Subfields: Applied Mathematics, Finance, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/81ee743100981c8280651c2a702421ffdd787694