# LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS

• Catuogno, Pedro ;
• Martinez, Federico ;
• Molina, Sandra
• Published : 2008.04.30
• 55 4

#### 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, $[{\delta}]x^{\lambda}_+={\delta}[x^{\lambda}_+]=0\;and\;[x^{\lambda}_+]x^{\mu}_+=x^{{\lambda}+{\mu}}_+$ for appropriate ${\lambda}$ and ${\mu}$.

#### Keywords

product of distributions;tempered distributions with positive support;Laguerre functions

#### References

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