An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)
<span lang="EN-US">In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the Jacobi-Dunkl Lipschitz condition in $ L^{2}(\R,A_{\alpha ,\beta}(t)dt), \alpha \geq \beta\geq-\frac{1}{2}, \alpha \n...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2015-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/484 |
| _version_ | 1818264769710260224 |
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| author | A. Abouelaz A. Belkhadir R. Daher |
| author_facet | A. Abouelaz A. Belkhadir R. Daher |
| author_sort | A. Abouelaz |
| collection | DOAJ |
| description | <span lang="EN-US">In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the Jacobi-Dunkl Lipschitz condition in $ L^{2}(\R,A_{\alpha ,\beta}(t)dt), \alpha \geq \beta\geq-\frac{1}{2}, \alpha \neq -\frac{1}{2}.$</span> |
| first_indexed | 2024-12-12T19:40:11Z |
| format | Article |
| id | doaj.art-9c7067593fcc4c759861381b475542a5 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-12T19:40:11Z |
| publishDate | 2015-05-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-9c7067593fcc4c759861381b475542a52022-12-22T00:14:13ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392015-05-01811521123An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)A. Abouelaz0A. Belkhadir1R. Daher2Department of Mathematics and Informatics, Faculty of Science Ain Chock, University of Hassan II, Casablanca, MoroccoDepartment of Mathematics and Informatics, Faculty of Science Ain Chock, University of Hassan II, Casablanca, MoroccoDepartment of Mathematics and Informatics, Faculty of Science Ain Chock, University of Hassan II, Casablanca, Morocco<span lang="EN-US">In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the Jacobi-Dunkl Lipschitz condition in $ L^{2}(\R,A_{\alpha ,\beta}(t)dt), \alpha \geq \beta\geq-\frac{1}{2}, \alpha \neq -\frac{1}{2}.$</span>http://www.etamaths.com/index.php/ijaa/article/view/484 |
| spellingShingle | A. Abouelaz A. Belkhadir R. Daher An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) International Journal of Analysis and Applications |
| title | An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) |
| title_full | An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) |
| title_fullStr | An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) |
| title_full_unstemmed | An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) |
| title_short | An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) |
| title_sort | analog of titchmarsh s theorem for the jacobi dunkl transform in the space l2α β r |
| url | http://www.etamaths.com/index.php/ijaa/article/view/484 |
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