Email this article Results on the Colombeau Products of the Distribution x+−r−1/2 with the Distributions x−−k−1/2 and x−k−1/2
- Authors: Miteva M.1, Jolevska-Tuneska B.2, Atanasova-Pacemska T.1
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Affiliations:
- Department of Mathematics, Faculty of Computer Science, University Goce Delcev
- Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University
- Issue: Vol 52, No 1 (2018)
- Pages: 9-20
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234390
- DOI: https://doi.org/10.1007/s10688-018-0202-y
- ID: 234390
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Abstract
Results on the products of the distribution x+−r−1/2 with the distributions x−−k−1/2 and x−k−1/2 are obtained in the differential algebra G(ℝ) of Colombeau generalized functions, which contains the space D′(ℝ) of Schwartz distributions as a subspace; in this algebra the notion of association is defined, which is a faithful generalization of weak equality in G(ℝ). This enables treating the results in terms of distributions again.
About the authors
M. Miteva
Department of Mathematics, Faculty of Computer Science, University Goce Delcev
Author for correspondence.
Email: marija.miteva@ugd.edu.mk
Macedonia, the former Yugoslav Republic of, Stip
B. Jolevska-Tuneska
Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University
Email: marija.miteva@ugd.edu.mk
Macedonia, the former Yugoslav Republic of, Skopje
T. Atanasova-Pacemska
Department of Mathematics, Faculty of Computer Science, University Goce Delcev
Email: marija.miteva@ugd.edu.mk
Macedonia, the former Yugoslav Republic of, Stip
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