Further results on Colombeau product of distributions
type: Item
instance of: scholarly article
title: Further results on Colombeau product of distributions
zbMATH Open document ID: 1270.46036
DOI: 10.1155/2013/918905
author: Tatjana Atanasova-Pacemska
author: Biljana Tome Jolevska-Tuneska
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2013-02-21T00:00:00Z
review text: Summary: Results on the Colombeau product of distributions \(x^{-r-1/2}_{+}\) and \(x^{-r-1/2}_{-}\) are derived. They are obtained in the Colombeau differential algebra \(\mathcal G({\mathbb R})\) of generalized functions that contains the space \(\mathcal D'({\mathbb R})\) of Schwartz distributions as a subspace and has a notion of ``association'' that is a faithful generalization of the weak equality in \(\mathcal D'({\mathbb R})\).
Mathematics Subject Classification ID: 46F30
zbMATH DE Number: 6137717
zbMATH Keywords: product of distributions
zbMATH Keywords: Colombeau differential algebra
Wikidata QID: Q58989358
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/918905
OpenAlex ID: W2076566664
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description: scientific article; zbMATH DE number 6137717