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  Volume 9, Issue 4, Article 99
 
Negative Results Concerning Fourier Series on the Complete Product of $\mathcal{S}_3$

    Authors: R. Toledo,  
    Keywords: Fourier series, Walsh-system, Vilenkin systems, Representative product systems.  
    Date Received: 26/11/07  
    Date Accepted: 13/10/08  
    Subject Codes:

42C10.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

The aim of this paper is to continue the studies about convergence in $ L^p$-norm of the Fourier series based on representative product systems on the complete product of finite groups. We restrict our attention to bounded groups with unbounded sequence $ Psi$. The most simple example of this groups is the complete product of $ mathcal{S}_3$. In this case we proved the existence of an

         
       
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