Geodesic
On convergence of Fourier–Vilenkin series in $L^p[0,1)$, $0$
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 3, pp. 3-9 
S. S. Volosivets. On convergence of Fourier–Vilenkin series in $L^p[0,1)$, $0
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we study convergence a.e. and $L^p$-convergence ($0) of Fourier–Vilenkin series under some tauberian conditions on Fourier coefficients of a function. In the case of Fourier–Walsh series these results are obtained by F. Moricz.

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