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Colombeau products of distributions
Marija Miteva1, Biljana Jolevska-Tuneska2, Tatjana Atanasova-Pacemska1
1Faculty of Computer Science, University Goce Delcev-Stip, Stip, Republic of Macedonia.
Abstract:
In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] of Schwartz distributions as a subspace, and has a notion of 'association' that allows us to evaluate the results in terms of distributions.
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