On the generalized Hartley-Hilbert and Fourier-Hilbert transforms
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
SpringerOpen
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30122/ http://psasir.upm.edu.my/id/eprint/30122/1/On%20the%20generalized%20Hartley.pdf |
| _version_ | 1848846588790702080 |
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| author | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem |
| author_facet | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem |
| author_sort | Al-Omari, Shrideh Khalaf Qasem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:05:06Z |
| format | Article |
| id | upm-30122 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:06Z |
| publishDate | 2012 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301222015-09-28T08:39:11Z http://psasir.upm.edu.my/id/eprint/30122/ On the generalized Hartley-Hilbert and Fourier-Hilbert transforms Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem 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. SpringerOpen 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30122/1/On%20the%20generalized%20Hartley.pdf 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 10.1186/1687-1847-2012-232 English |
| spellingShingle | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem On the generalized Hartley-Hilbert and Fourier-Hilbert transforms |
| title | On the generalized Hartley-Hilbert and Fourier-Hilbert transforms |
| title_full | On the generalized Hartley-Hilbert and Fourier-Hilbert transforms |
| title_fullStr | On the generalized Hartley-Hilbert and Fourier-Hilbert transforms |
| title_full_unstemmed | On the generalized Hartley-Hilbert and Fourier-Hilbert transforms |
| title_short | On the generalized Hartley-Hilbert and Fourier-Hilbert transforms |
| title_sort | on the generalized hartley-hilbert and fourier-hilbert transforms |
| url | http://psasir.upm.edu.my/id/eprint/30122/ http://psasir.upm.edu.my/id/eprint/30122/ http://psasir.upm.edu.my/id/eprint/30122/1/On%20the%20generalized%20Hartley.pdf |