Polynomial tempered distributions



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


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
Sharyn, S. Polynomial Tempered Distributions. Carpathian Math. Publ. 2010, 2, 123-132.