On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups (2007)
Baldi, Paolo; Universita Di Roma; Baldi@mat.uniroma2.it, Marinucci, Domenico; Universita Di Roma; Marinucc@mat.uniroma2.it, Varadarajan, Veeravalli S; University Of California Los Angeles; Vsv@math.ucla.edu
Let $T$ be a random field weakly invariant under the action of a compact group $G$. We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaussianity. As a...