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math.PR2006
High-frequency asymptotics for subordinated isotropic fields on an Abelian compact group
Domenico Marinucci, Giovanni Peccati
Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establ…
math.PR2006
Some characterizations of the spherical harmonics coefficients for isotropic random fields
P. Baldi, D. Marinucci
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…