Citation
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
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: | https://doi.org/10.1186/1687-1847-2012-232 |
| 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 08:13 |
| Last Modified: | 28 Sep 2015 08:39 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2012-232 |
| URI: | http://psasir.upm.edu.my/id/eprint/30122 |
| Statistic Details: | View Download Statistic |
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