On the space of Laplace transformable distributions

We show that the space [Formula: see text] of Laplace transformable distributions, where [Formula: see text] is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of [Formula: see text] .

Detalles Bibliográficos
Autores principales: Debrouwere, Andreas, Nigsch, Eduard A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7446279/
https://www.ncbi.nlm.nih.gov/pubmed/32879622
http://dx.doi.org/10.1007/s13398-020-00907-2
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author Debrouwere, Andreas
Nigsch, Eduard A.
author_facet Debrouwere, Andreas
Nigsch, Eduard A.
author_sort Debrouwere, Andreas
collection PubMed
description We show that the space [Formula: see text] of Laplace transformable distributions, where [Formula: see text] is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of [Formula: see text] .
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spelling pubmed-74462792020-08-31 On the space of Laplace transformable distributions Debrouwere, Andreas Nigsch, Eduard A. Rev R Acad Cienc Exactas Fis Nat A Mat Original Paper We show that the space [Formula: see text] of Laplace transformable distributions, where [Formula: see text] is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of [Formula: see text] . Springer International Publishing 2020-08-12 2020 /pmc/articles/PMC7446279/ /pubmed/32879622 http://dx.doi.org/10.1007/s13398-020-00907-2 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Original Paper
Debrouwere, Andreas
Nigsch, Eduard A.
On the space of Laplace transformable distributions
title On the space of Laplace transformable distributions
title_full On the space of Laplace transformable distributions
title_fullStr On the space of Laplace transformable distributions
title_full_unstemmed On the space of Laplace transformable distributions
title_short On the space of Laplace transformable distributions
title_sort on the space of laplace transformable distributions
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7446279/
https://www.ncbi.nlm.nih.gov/pubmed/32879622
http://dx.doi.org/10.1007/s13398-020-00907-2
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