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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25199/ http://psasir.upm.edu.my/id/eprint/25199/1/25199.pdf |
| _version_ | 1848845243890270208 |
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| author | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem |
| author_facet | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem |
| author_sort | Al-Omari, Shrideh Khalaf Qasem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:43:44Z |
| format | Article |
| id | upm-25199 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:43:44Z |
| publishDate | 2011 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-251992017-10-19T06:11:11Z http://psasir.upm.edu.my/id/eprint/25199/ On diffraction Fresnel transforms for Boehmians Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem 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. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25199/1/25199.pdf Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2011) On diffraction Fresnel transforms for Boehmians. Abstract and Applied Analysis, 2011. art. no. 712746. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2011/712746/abs/ 10.1155/2011/712746 |
| spellingShingle | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem On diffraction Fresnel transforms for Boehmians |
| 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://psasir.upm.edu.my/id/eprint/25199/ http://psasir.upm.edu.my/id/eprint/25199/ http://psasir.upm.edu.my/id/eprint/25199/ http://psasir.upm.edu.my/id/eprint/25199/1/25199.pdf |