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Negative Results Concerning Fourier Series on the Complete Product of $\mathcal{S}_3$
Fourier series Walsh-system Vilenkin systems Representative product systems
2010/1/22
The aim of this paper is to continue the studies about convergence in -norm of the Fourier series based on representative product systems on the complete product of finite groups. We restrict our atte...
<正> 1.Introduction.It is classical that,if the Fourier series of a function ψ(t) ofbounded variation is (?) sin nt,the sequence (?) is bounded.This resultcannot be improved.“For,the function (?) whose...