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On Divergence of Fourier Series with Respect to Multiplicative Systems on the Sets of Measure Zero

  • Kakha Bitsadze
Published/Copyright: March 10, 2010
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Georgian Mathematical Journal
From the journal Volume 16 Issue 3

Abstract

For any multiplicative system of bounded type and any set of measure zero there exists a bounded measurable function whose Fourier series with respect to this system diverges on this set.

Received: 2008-03-25
Published Online: 2010-03-10
Published in Print: 2009-September

© Heldermann Verlag

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