Miteva, Marija and Jolevska-Tuneska, Biljana and Koceva Lazarova, Limonka (2022) Product of the Generalized Functions x-- k and δ(p)(x) in Colombeau Algebra. International Journal of Applied Mathematics, 35 (1). ISSN 1314-8060
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Abstract
In this paper the product of the distributions ${{x_ - }^{ - k}}$ and ${\delta ^{\left( p \right)}}\left( x \right)$ is derived. The result is obtained in Colombeau algebra of generalized functions which contains the space of Schwartz distributions as a subspace and has a notion of 'association' that allows us to evaluate the results in terms of distributions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | distribution; Colombeau algebra; Colombeau generalized function; multiplication of distributions |
| Subjects: | Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Limonka Koceva Lazarova |
| Date Deposited: | 28 Nov 2022 11:56 |
| Last Modified: | 28 Nov 2022 11:56 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/30562 |
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