Abstract

Results on singular products of Schwartz distributions on the Euclidean space are derived when the products are so 'balanced' that they exist in the distribution space. The results follow the idea of a known distributional product published by Jan Mikusiński and are obtained in Colombeau algebra of generalized functions. This algebra contains the distributions and the notion of 'association' permits obtaining results on the level of distributions.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 1
Year: 2017

DOI: 10.12732/ijam.v30i1.4

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References

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