Polynomial tempered distributions

In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions are considered. Some examples are given.

Bibliographic Details
Main Author: S. V. Sharyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/67