Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30202/ http://psasir.upm.edu.my/id/eprint/30202/1/30202.pdf |
| _version_ | 1848846610484690944 |
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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 | We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance. |
| first_indexed | 2025-11-15T09:05:27Z |
| format | Article |
| id | upm-30202 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:27Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302022017-10-19T05:57:10Z http://psasir.upm.edu.my/id/eprint/30202/ Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30202/1/30202.pdf Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2013) Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians. Abstract and Applied Analysis, 2013. art. no. 348701. pp. 1-6. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/348701/abs/ 10.1155/2013/348701 |
| spellingShingle | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians |
| title | Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians |
| title_full | Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians |
| title_fullStr | Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians |
| title_full_unstemmed | Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians |
| title_short | Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians |
| title_sort | some remarks on the extended hartley-hilbert and fourier-hilbert transforms of boehmians |
| url | http://psasir.upm.edu.my/id/eprint/30202/ http://psasir.upm.edu.my/id/eprint/30202/ http://psasir.upm.edu.my/id/eprint/30202/ http://psasir.upm.edu.my/id/eprint/30202/1/30202.pdf |