Polynomial tempered distributions

S.V. Sharyn

Polynomial tempered distributions

Authors

S.V. Sharyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2547-1442

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.

Article (Українська)

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(1)

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

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Polynomial tempered distributions

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