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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

Abstract / Synopsis

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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number:
Publisher: SpringerOpen
Keywords: Integral transforms; Hilbert transform; Hartley transform; Fourier transform; Hartley-Hilbert transform; Boehmian space.
Depositing User: Umikalthom Abdullah
Date Deposited: 01 Jul 2014 16:13
Last Modified: 28 Sep 2015 16:39
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