JIPAM

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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