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math.PR2007★ 4 cited
Group Representations and High-Resolution Central Limit Theorems for Subordinated Spherical Random Fields
Domenico Marinucci, Giovanni Peccati
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular,…
math.PR2007
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
P. Baldi, D. Marinucci, V. S. Varadarajan
Let T be a random field invariant under the action of a compact group G We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaussianit…