Citation
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
Abstract
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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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2011/712746 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Fresnel transform; Boehmians; Diffraction fresnel integral; Boehmian space; Generalized fresnel; Transform; δ convergence; Δ convergence; Wavelet transform; Distribution space |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 16 Jul 2013 01:25 |
| Last Modified: | 19 Oct 2017 06:11 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/712746 |
| URI: | http://psasir.upm.edu.my/id/eprint/25199 |
| Statistic Details: | View Download Statistic |
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