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

Manuel A. Aguirre Téllez

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-11

Abstract:

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

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:354368

DOI: 10.1155/S0161171203110289

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