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          Volume 9, Issue 4, Article 99 | 
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             Negative Results Concerning Fourier Series on the Complete Product of $\mathcal{S}_3$
 
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          Authors:  | 
          R. Toledo,  | 
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          Keywords: 
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          Fourier series, Walsh-system, Vilenkin systems, Representative product systems. | 
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          Date Received: 
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          26/11/07 | 
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          Date Accepted: 
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          13/10/08 | 
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          Subject Codes: | 
           
             42C10. 
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          Editors:  | 
          Sever S. Dragomir,   | 
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          Abstract: | 
           
              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 attention to bounded groups with unbounded sequence  . The most simple example of this groups is the complete product of   . In this case we proved the existence of an 
             
          
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