On Diffraction Fresnel Transforms for Boehmians-Reference-Cited by-同舟云学术

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On Diffraction Fresnel Transforms for Boehmians

Published:2011 Issue: Volume:2011 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Al-Omari S. K. Q.¹,Kılıçman A.²

Affiliation:

1. Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan

2. Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

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 toδandΔis also defined.

Funder

University Putra Malaysia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/712746.pdf

Reference19 articles.

1. The Fractional Order Fourier Transform and its Application to Quantum Mechanics

2. Fractional Fourier transforms and their optical implementation: I

3. Fractional Fourier transforms and their optical implementation II

4. Fractional Fourier transforms and optical systems

5. Image rotation, Wigner rotation, and the fractional Fourier transform

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a class of generalized Meijer–Laplace transforms of Fox function type kernels and their extension to a class of Boehmians;Georgian Mathematical Journal;2018-03-01

2. On generalized space of quaternions and its application to a class of Mellin transforms;Journal of Nonlinear Sciences and Applications;2016-06-10

3. REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS;Bulletin of the Korean Mathematical Society;2015-09-30

4. A class of Boehmians for a recent generalization of Hankel–Clifford transformation of arbitrary order;Afrika Matematika;2015-09-08

5. Some extensions of a certain integral transform to a quotient space of generalized functions;Open Mathematics;2015-01-25

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