Displaying similar documents to “Random Fourier series on locally compact abelian groups”

On Billard's Theorem for Random Fourier Series

Guy Cohen, Christophe Cuny (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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We show that Billard's theorem on a.s. uniform convergence of random Fourier series with independent symmetric coefficients is not true when the coefficients are only assumed to be centered independent. We give some necessary or sufficient conditions to ensure the validity of Billard's theorem in the centered case.