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LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS

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

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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