Journal of Siberian Federal University. Mathematics & Physics / Locally Explicit Fundamental Principle for Homogeneous Convolution Equations

Full text (.pdf)
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