A note on some spaces Lγ of distributions with Laplace transform

In this paper we calculate the dual of the spaces of distributions Lγ introduced in [1]. Then we prove that Lγ is the dual of a subspace of C∞(ℝ).

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Main Author: Salvador Pérez Esteva
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000369
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author Salvador Pérez Esteva
author_facet Salvador Pérez Esteva
author_sort Salvador Pérez Esteva
collection DOAJ
description In this paper we calculate the dual of the spaces of distributions Lγ introduced in [1]. Then we prove that Lγ is the dual of a subspace of C∞(ℝ).
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1990-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7a7f7a830b3b4f30a219b290099d72e52025-02-03T01:24:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113224324610.1155/S0161171290000369A note on some spaces Lγ of distributions with Laplace transformSalvador Pérez Esteva0Instituto de Matemáticas, Universidad Nacional Autónoma de México, México, D.F. 04510, MexicoIn this paper we calculate the dual of the spaces of distributions Lγ introduced in [1]. Then we prove that Lγ is the dual of a subspace of C∞(ℝ).http://dx.doi.org/10.1155/S0161171290000369convolutionLaplace transformstrict inductive limit.
spellingShingle Salvador Pérez Esteva
A note on some spaces Lγ of distributions with Laplace transform
International Journal of Mathematics and Mathematical Sciences
convolution
Laplace transform
strict inductive limit.
title A note on some spaces Lγ of distributions with Laplace transform
title_full A note on some spaces Lγ of distributions with Laplace transform
title_fullStr A note on some spaces Lγ of distributions with Laplace transform
title_full_unstemmed A note on some spaces Lγ of distributions with Laplace transform
title_short A note on some spaces Lγ of distributions with Laplace transform
title_sort note on some spaces lγ of distributions with laplace transform
topic convolution
Laplace transform
strict inductive limit.
url http://dx.doi.org/10.1155/S0161171290000369
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