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 |
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Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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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). |
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ISSN: | 0161-1712 1687-0425 |
DOI: | 10.1155/S0161171203110289 |