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Fourier coefficients of invariant random fields on homogeneous spaces of compact groups

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 نشر من قبل Paolo Baldi
 تاريخ النشر 2013
  مجال البحث
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Let $T$ be a random field invariant under the action of a compact group $G$. In the line of previous work we investigate properties of the Fourier coefficients as orthogonality and Gaussianity. In particular we give conditions ensuring that independence of the random Fourier coefficients implies 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.



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