On products of distributions in Colombeau algebra
type: Item
instance of: scholarly article
title: On products of distributions in Colombeau algebra
zbMATH Open document ID: 1407.46032
DOI: 10.1155/2014/910510
author: Marija Miteva
author: Tatjana Atanasova-Pacemska
author: Biljana Tome Jolevska-Tuneska
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Results on products of distributions \(x_+^{- k}\) and \(\delta^{(p)}(x)\) are derived. They are obtained in Colombeau differential algebra \(\mathcal{G}(\mathbb{R})\) of generalized functions that contains the space \(\mathcal{D} '(\mathbf{R})\) of Schwartz distributions as a subspace. Products of this form are useful in quantum renormalization theory in Physics.
Mathematics Subject Classification ID: 46F30
Mathematics Subject Classification ID: 46F10
zbMATH DE Number: 7017582
Wikidata QID: Q59070654
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/910510
OpenAlex ID: W1999605285
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description: scientific article; zbMATH DE number 7017582