Colombeau algebras without asymptotics

We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition.

Detalles Bibliográficos
Autor principal: Nigsch, Eduard A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6373394/
https://www.ncbi.nlm.nih.gov/pubmed/30828296
http://dx.doi.org/10.1007/s11868-017-0230-z
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author Nigsch, Eduard A.
author_facet Nigsch, Eduard A.
author_sort Nigsch, Eduard A.
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description We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition.
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spelling pubmed-63733942019-03-01 Colombeau algebras without asymptotics Nigsch, Eduard A. J Pseudodiffer Oper Appl Article We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition. Springer International Publishing 2017-11-23 2019 /pmc/articles/PMC6373394/ /pubmed/30828296 http://dx.doi.org/10.1007/s11868-017-0230-z Text en © The Author(s) 2017 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 Article
Nigsch, Eduard A.
Colombeau algebras without asymptotics
title Colombeau algebras without asymptotics
title_full Colombeau algebras without asymptotics
title_fullStr Colombeau algebras without asymptotics
title_full_unstemmed Colombeau algebras without asymptotics
title_short Colombeau algebras without asymptotics
title_sort colombeau algebras without asymptotics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6373394/
https://www.ncbi.nlm.nih.gov/pubmed/30828296
http://dx.doi.org/10.1007/s11868-017-0230-z
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