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On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
2007
Electronic Communications in Probability
Preserved Fulltext
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
doi:10.1214/ecp.v12-1316
fatcat:zqsso25qsnfildnxg6vtterpcm