On Billard's Theorem for Random Fourier Series

• Autorzy: Guy Cohen , Christophe Cuny
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60G50: Sums of independent random variables; random walks
• 42A61: Probabilistic methods
• 60G17: Sample path properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 1
• Strony: 39-53

Daty

wydano

2005

Twórcy

autor

Guy Cohen

• Department of Mathematics, Ben Gurion University, P.O.B. 653, 841105 Beer Sheva, Israel
• Erwin Schrödinger Institute, Boltzmanngasse 9, A-1090 Wien, Austria

autor

Christophe Cuny

• Department of Mathematics, University of New Caledonia, Equipe ERIM, B.P. 4477, F-98847 Noumea Cedex, France

Identyfikatory

DOI

10.4064/ba53-1-5