Отправить статью по 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
- Авторы: Miteva M.1, Jolevska-Tuneska B.2, Atanasova-Pacemska T.1
-
Учреждения:
- Department of Mathematics, Faculty of Computer Science, University Goce Delcev
- Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University
- Выпуск: Том 52, № 1 (2018)
- Страницы: 9-20
- Раздел: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234390
- DOI: https://doi.org/10.1007/s10688-018-0202-y
- ID: 234390
Цитировать
Открытый доступ
Доступ предоставлен
Только для подписчиков
Аннотация
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.
Об авторах
M. Miteva
Department of Mathematics, Faculty of Computer Science, University Goce Delcev
Автор, ответственный за переписку.
Email: marija.miteva@ugd.edu.mk
Македония, Stip
B. Jolevska-Tuneska
Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University
Email: marija.miteva@ugd.edu.mk
Македония, Skopje
T. Atanasova-Pacemska
Department of Mathematics, Faculty of Computer Science, University Goce Delcev
Email: marija.miteva@ugd.edu.mk
Македония, Stip
Дополнительные файлы
