LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS

Title & Authors
LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS
Catuogno, Pedro; Martinez, Federico; Molina, Sandra;

Abstract
In this paper we introduce two products of tempered distributions with positive support. These products are based in the Laguerre representation of distributions. We calculate some products as, $\small{[{\delta}]x^{\lambda}_+={\delta}[x^{\lambda}_+]=0\;and\;[x^{\lambda}_+]x^{\mu}_+=x^{{\lambda}+{\mu}}_+}$ for appropriate $\small{{\lambda}}$ and $\small{{\mu}}$.
Keywords
product of distributions;tempered distributions with positive support;Laguerre functions;
Language
English
Cited by
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