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On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups

   
@article{ECP1316,
	author = {Paolo Baldi and Domenico Marinucci and Veeravalli Varadarajan},
	title = {On the characterization of isotropic  Gaussian fields on homogeneous spaces of compact groups},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {isotropic Random Fields, Fourier expansions, Characterization of Gaussian Random Fields},
	abstract = {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 consequence, in general it is not possible to simulate a  non-Gaussian invariant random field through its Fourier expansion using independent coefficients},
	pages = {no. 29, 291-302},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1316},    
        url = {http://ecp.ejpecp.org/article/view/1316}}