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Integral Transforms and Special Functions Volume 22, 2011 - Issue 4-5: THE INTERNATIONAL CONFERENCE ON GENERALIZED FUNCTIONS GF 2009, VIENNA, 31 AUGUST–4 SEPTEMBER 2009
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Original Articles

Fourier analysis of generalized functions

Chikh Bouzar Department of Mathematics, University of Oran Essenia, Oran, AlgeriaCorrespondence[email protected]
&
Tayeb Saidi Faculty of Sciences, University of Bechar, Bechar, Algeria
Pages 337-344 | Received 22 Feb 2010, Published online: 17 May 2011
 
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Abstract

The purpose of this paper is to introduce some basic concepts of microlocal analysis suitable to the notion of ℛ-regularity within Colombeau algebra. Main result is an extension of the well-known Hörmander's theorem on the wave front set of the product of two distributions.

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