Colombeau products of distributions

In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] o...

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Detalles Bibliográficos
Autores principales: Miteva, Marija, Jolevska-Tuneska, Biljana, Atanasova-Pacemska, Tatjana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5128004/
https://www.ncbi.nlm.nih.gov/pubmed/27995019
http://dx.doi.org/10.1186/s40064-016-3742-8
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author Miteva, Marija
Jolevska-Tuneska, Biljana
Atanasova-Pacemska, Tatjana
author_facet Miteva, Marija
Jolevska-Tuneska, Biljana
Atanasova-Pacemska, Tatjana
author_sort Miteva, Marija
collection PubMed
description In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] of Schwartz distributions as a subspace, and has a notion of 'association’ that allows us to evaluate the results in terms of distributions.
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spelling pubmed-51280042016-12-19 Colombeau products of distributions Miteva, Marija Jolevska-Tuneska, Biljana Atanasova-Pacemska, Tatjana Springerplus Research In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] of Schwartz distributions as a subspace, and has a notion of 'association’ that allows us to evaluate the results in terms of distributions. Springer International Publishing 2016-11-29 /pmc/articles/PMC5128004/ /pubmed/27995019 http://dx.doi.org/10.1186/s40064-016-3742-8 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Miteva, Marija
Jolevska-Tuneska, Biljana
Atanasova-Pacemska, Tatjana
Colombeau products of distributions
title Colombeau products of distributions
title_full Colombeau products of distributions
title_fullStr Colombeau products of distributions
title_full_unstemmed Colombeau products of distributions
title_short Colombeau products of distributions
title_sort colombeau products of distributions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5128004/
https://www.ncbi.nlm.nih.gov/pubmed/27995019
http://dx.doi.org/10.1186/s40064-016-3742-8
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