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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

Abstract / Synopsis

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:
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
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