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On diffraction fresnel transforms for Boehmians

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

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Official URL: https://www.hindawi.com/journals/aaa/2011/712746/a...

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.

Item Type:Article
Keyword:Fresnel transform; Boehmians; Diffraction fresnel integral; Boehmian space; Generalized fresnel; Transform; δ convergence; Δ convergence; Wavelet transform; Distribution space
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2011/712746
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/712746
ID Code:25199
Deposited By: Nur Farahin Ramli
Deposited On:16 Jul 2013 09:25
Last Modified:23 Nov 2016 10:22

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