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On the generalized Hartley-Hilbert and Fourier-Hilbert transforms

Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2012) On the generalized Hartley-Hilbert and Fourier-Hilbert transforms. Advances in Difference Equations, 2012 . art. no. 232. pp. 1-14. ISSN 1687-1839; ESSN: 1687-1847

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Abstract

In this paper, we discuss Hartley-Hilbert and Fourier-Hilbert transforms on a certain class of generalized functions. The extended transforms considered in this article are shown to be well-defined, one-to-one, linear and continuous mappings with respect to δ and Δ convergence. Certain theorems are also established.

Item Type:Article
Keyword:Integral transforms; Hilbert transform; Hartley transform; Fourier transform; Hartley-Hilbert transform; Boehmian space.
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:SpringerOpen
DOI Number:10.1186/1687-1847-2012-232
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2012-232
ID Code:30122
Deposited By: Umikalthom Abdullah
Deposited On:01 Jul 2014 16:13
Last Modified:28 Sep 2015 16:39

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