Polynomial tempered distributions

Keywords: polinomials on infinite dimensional spaces, nuclear $(F)$ and $(DF)$ spaces, tempered distributions
Published online: 2010-12-30

Abstract


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.

How to Cite
(1)
Sharyn S. Polynomial Tempered Distributions. Carpathian Math. Publ. 2010, 2 (2), 123-132.