| Título: | On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups |
| Autores: |
Baldi, Paolo; Universita di Roma Marinucci, Domenico; Universita di Roma Varadarajan, Veeravalli S; University of California Los Angeles |
| Fecha: | 2007-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
isotropic Random Fields, Fourier expansions, Characterization of Gaussian Random Fields Primary 60B15; secondary 60E05,43A30 |
| Descripción: | 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 |
| Idioma: | No aplica |
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