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
Descripción
Sumario: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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