Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (4)
- Authors
- Vidras, Alekos
- Contact information
- Vidras, Аlekos: Department of Mathematics and Statistics University of Cyprus POB 20537, Nicosia 1678 Cyprus; ; Видрас, Алекос: Кафедра математики и статистики Университет Кипра POB 20537, Никосия 1678 Кипр
- Keywords
- fundamental principle; division formula
- Abstract
In the present paper a locally explicit version of Ehrenpreis’s Fundamental Principle for a system of homogeneous convolution equations f μ j = 0, j = 1; : : : ;m, f ∈ E(Rⁿ), μ j ∈ E′(Rⁿ), is derived, when the Fourier Transforms μ j , j = 1; : : : ;m are slowly decreasing entire functions that form a complete intersection in Cⁿ.
- Pages
- 466–474
- DOI
- 10.17516/1997-1397-2019-12-4-466-474
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/111817
Journal of Siberian Federal University. Mathematics & Physics / Locally Explicit Fundamental Principle for Homogeneous Convolution Equations
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