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Type: Artigo de periódico
Title: Hermite expansions and products of tempered distributions
Author: Catuogno, P
Molina, S
Olivera, C
Abstract: The space of tempered distributions S' can be realized as a sequence spaces by means of the Hermite representation theorem. In this article, we introduce and study two new products of tempered distributions based on this Hermite representation theorem. In particular, we obtain the products [H]delta = delta/2, [delta]vp(1/ x) = -delta' and [delta((r))]vp(1/x) = -(delta((r+1)))/(r + 1) for even r.
Subject: tempered distributions
product of distributions
Hermite functions
Hermite expansion of tempered distributions
Country: Inglaterra
Editor: Taylor & Francis Ltd
Citation: Integral Transforms And Special Functions. Taylor & Francis Ltd, v. 18, n. 4, n. 233, n. 243, 2007.
Rights: fechado
Identifier DOI: 10.1080/10652460601041169
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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