• 제목/요약/키워드: tempered distributions with positive support

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LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS

  • Catuogno, Pedro;Martinez, Federico;Molina, Sandra
    • 대한수학회논문집
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    • 제23권2호
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    • pp.201-209
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    • 2008
  • 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 ${\mu}$.