The Bessel-Struve intertwining operator on ℂ and mean-periodic functions

We give a description of all transmutation operators from the Bessel-Struve operator to the second-derivative operator. Next we define and characterize the mean-periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute w...

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Main Authors: A. Gasmi, M. Sifi
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204309178
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author A. Gasmi
M. Sifi
author_facet A. Gasmi
M. Sifi
author_sort A. Gasmi
collection DOAJ
description We give a description of all transmutation operators from the Bessel-Struve operator to the second-derivative operator. Next we define and characterize the mean-periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute with Bessel-Struve operator.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2004-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-37b610c1df0c4845a531fe7f86c643902025-02-03T06:44:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004593171318510.1155/S0161171204309178The Bessel-Struve intertwining operator on ℂ and mean-periodic functionsA. Gasmi0M. Sifi1Department of Mathematics, Faculty of Sciences of Tunis, Tunis 2092, TunisiaDepartment of Mathematics, Faculty of Sciences of Tunis, Tunis 2092, TunisiaWe give a description of all transmutation operators from the Bessel-Struve operator to the second-derivative operator. Next we define and characterize the mean-periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute with Bessel-Struve operator.http://dx.doi.org/10.1155/S0161171204309178
spellingShingle A. Gasmi
M. Sifi
The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
International Journal of Mathematics and Mathematical Sciences
title The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
title_full The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
title_fullStr The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
title_full_unstemmed The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
title_short The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
title_sort bessel struve intertwining operator on c and mean periodic functions
url http://dx.doi.org/10.1155/S0161171204309178
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