Abstract and Applied Analysis
Volume 2007 (2007), Article ID 81907, 10 pages
On the Noncommutative Neutrix Product of Distributions
1Department of Mathematics, University of Hacettepe, Ankara 06532, Beytepe, Turkey
2Faculty of Electrical Engineering, Karpos II bb, 9100, Skopje, Macedonia
Received 21 August 2007; Accepted 5 November 2007
Academic Editor: Agacik Zafer
Copyright © 2007 Emin Özçaḡ et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
be distributions and let , where is a certain sequence converging to the Dirac-delta function .
The noncommutative neutrix product
is defined to be the neutrix limit of the sequence , provided the limit
exists in the sense that , for all test functions in . In this paper, using the concept of the neutrix limit due to van der Corput (1960), the noncommutative neutrix products
and are proved to exist and are evaluated for . It is consequently seen that these two products are in fact equal.