On Diffraction Fresnel Transforms for Boehmians
The theory of the diffraction Fresnel transform is extended to certain spaces of Schwartz distributions. In the context of Boehmian spaces, the diffraction Fresnel transform is obtained as a continuous function. Convergence with respect to δ and Δ is also defined.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/712746 |
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| _version_ | 1849434725582635008 |
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| author | S. K. Q. Al-Omari A. Kılıçman |
| author_facet | S. K. Q. Al-Omari A. Kılıçman |
| author_sort | S. K. Q. Al-Omari |
| collection | DOAJ |
| description | The theory of the diffraction Fresnel transform is extended to certain spaces of Schwartz distributions. In the context of Boehmian spaces, the diffraction Fresnel transform is obtained as a continuous function. Convergence with respect to δ and Δ is also defined. |
| format | Article |
| id | doaj-art-e3fcf5dc46474a5b9eb98de33c0eef16 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3fcf5dc46474a5b9eb98de33c0eef162025-08-20T03:26:33ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/712746712746On Diffraction Fresnel Transforms for BoehmiansS. K. Q. Al-Omari0A. Kılıçman1Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, JordanDepartment of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaThe theory of the diffraction Fresnel transform is extended to certain spaces of Schwartz distributions. In the context of Boehmian spaces, the diffraction Fresnel transform is obtained as a continuous function. Convergence with respect to δ and Δ is also defined.http://dx.doi.org/10.1155/2011/712746 |
| spellingShingle | S. K. Q. Al-Omari A. Kılıçman On Diffraction Fresnel Transforms for Boehmians Abstract and Applied Analysis |
| title | On Diffraction Fresnel Transforms for Boehmians |
| title_full | On Diffraction Fresnel Transforms for Boehmians |
| title_fullStr | On Diffraction Fresnel Transforms for Boehmians |
| title_full_unstemmed | On Diffraction Fresnel Transforms for Boehmians |
| title_short | On Diffraction Fresnel Transforms for Boehmians |
| title_sort | on diffraction fresnel transforms for boehmians |
| url | http://dx.doi.org/10.1155/2011/712746 |
| work_keys_str_mv | AT skqalomari ondiffractionfresneltransformsforboehmians AT akılıcman ondiffractionfresneltransformsforboehmians |