The product of \(r^{-k}\) and \(\nabla\delta\) on \(\mathbb{R}^m\)
type: Item
instance of: scholarly article
title: The product of \(r^{-k}\) and \(\nabla\delta\) on \(\mathbb{R}^m\)
zbMATH Open document ID: 0963.46020
DOI: 10.1155/S0161171200004233
author: Chen Kuan Li
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-12-21T00:00:00Z
full work available at URL: https://eudml.org/doc/48779
review text: From author's abstract: In the theory of distributions, there is a general lack of definitions for products and powers of distributions. The object of this paper is to apply Pizetti's formula and the normalization procedure to derive the product of \(r^{-k}\) and \(\nabla\delta\) (\(\nabla\) is the gradient operator) on \(\mathbb{R}^n\). The nice properties of the \(\delta\)-sequence are fully shown and used in the proof of our theorem.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 46F10
zbMATH DE Number: 1548198
zbMATH Keywords: Dirac distributions
zbMATH Keywords: distributions
zbMATH Keywords: products and powers of distributions
zbMATH Keywords: Pizetti's formula
zbMATH Keywords: normalization procedure
MaRDI profile type: Publication
Wikidata QID: Q114067246
OpenAlex ID: W2046709619
description: scientific article; zbMATH DE number 1548198