Enviar artigo por via de e-mail Results on the Colombeau Products of the Distribution x+−r−1/2 with the Distributions x−−k−1/2 and x−k−1/2
- Autores: Miteva M.1, Jolevska-Tuneska B.2, Atanasova-Pacemska T.1
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Afiliações:
- Department of Mathematics, Faculty of Computer Science, University Goce Delcev
- Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University
- Edição: Volume 52, Nº 1 (2018)
- Páginas: 9-20
- Seção: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234390
- DOI: https://doi.org/10.1007/s10688-018-0202-y
- ID: 234390
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Resumo
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.
Sobre autores
M. Miteva
Department of Mathematics, Faculty of Computer Science, University Goce Delcev
Autor responsável pela correspondência
Email: marija.miteva@ugd.edu.mk
Macedônia, Stip
B. Jolevska-Tuneska
Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University
Email: marija.miteva@ugd.edu.mk
Macedônia, Skopje
T. Atanasova-Pacemska
Department of Mathematics, Faculty of Computer Science, University Goce Delcev
Email: marija.miteva@ugd.edu.mk
Macedônia, Stip
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