Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces
The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels we give be...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2025-01-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1512 |
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| author | Ahmed Chana Abdellatif Akhlidj |
| author_facet | Ahmed Chana Abdellatif Akhlidj |
| author_sort | Ahmed Chana |
| collection | DOAJ |
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The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels we give best approximation and an integral representation of the extremal functions related to these operators on weighted Sobolev spaces.
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| format | Article |
| id | doaj-art-49371219d40d405ba78bbcfaf0d6be93 |
| institution | Kabale University |
| issn | 2457-6794 2501-059X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj-art-49371219d40d405ba78bbcfaf0d6be932025-02-11T14:49:52ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2025-01-0110.33993/jnaat541-1512Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spacesAhmed Chana0Abdellatif Akhlidj1Department of Mathematics and Informatics, Faculty of Sciences Ain Chock, University of Hassan II, Casablanca, MoroccoDepartment of Mathematics and Informatics, Faculty of Sciences Ain Chock, University of Hassan II, Casablanca, Morocco The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels we give best approximation and an integral representation of the extremal functions related to these operators on weighted Sobolev spaces. https://ictp.acad.ro/jnaat/journal/article/view/1512Hartley transformBessel functionsCalder´on’s reproducing formulasApproximation theory |
| spellingShingle | Ahmed Chana Abdellatif Akhlidj Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces Journal of Numerical Analysis and Approximation Theory Hartley transform Bessel functions Calder´on’s reproducing formulas Approximation theory |
| title | Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces |
| title_full | Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces |
| title_fullStr | Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces |
| title_full_unstemmed | Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces |
| title_short | Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces |
| title_sort | best approximation of hartley bessel multiplier operators on weighted sobolev spaces |
| topic | Hartley transform Bessel functions Calder´on’s reproducing formulas Approximation theory |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1512 |
| work_keys_str_mv | AT ahmedchana bestapproximationofhartleybesselmultiplieroperatorsonweightedsobolevspaces AT abdellatifakhlidj bestapproximationofhartleybesselmultiplieroperatorsonweightedsobolevspaces |