Abstract
Let and be distributions and let , where is a certain sequence converging to the Dirac-delta function . The noncommutative neutrix product of and 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.
Citation
Emin Özçaḡ. İnci Ege. Haşmet Gürçay. Biljana Jolevska-Tuneska. "On the Noncommutative Neutrix Product of Distributions." Abstr. Appl. Anal. 2007 1 - 10, 2007. https://doi.org/10.1155/2007/81907
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