A convolution product of (2j)th derivative of Dirac's delta in r and multiplicative distributional product between r−k and ∇(△jδ)

The purpose of this paper is to obtain a relation between the distribution δ(2j)(r) and the operator △jδ and to give a sense to the convolution distributional product δ(2j)(r)∗δ(2s)(r) and the multiplicative distributional products r−k⋅∇(△jδ) and (r−c)−k⋅∇(△jδ).

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2003-01, Vol.2003 (13), p.789-799
1. Verfasser: Manuel A. Aguirre Téllez
Format: Artikel
Sprache:eng
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Zusammenfassung:The purpose of this paper is to obtain a relation between the distribution δ(2j)(r) and the operator △jδ and to give a sense to the convolution distributional product δ(2j)(r)∗δ(2s)(r) and the multiplicative distributional products r−k⋅∇(△jδ) and (r−c)−k⋅∇(△jδ).
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171203110289