International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 13, Pages 789-799
doi:10.1155/S0161171203110289

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

Manuel A. Aguirre Téllez

 Núcleo Consolidado Matemática Pura y Aplicada (NUCOMPA), Facultad de Ciencias Exactas, UNCentro, Pinto 399, Tandil, Provincia de Buenos Aires (7000), Argentina
Received 29 October 2002

Abstract

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).