|
|
|
|
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 -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
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|