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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/348701 |
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| author | S. K. Q. Al-Omari A. Kılıçman |
| author_facet | S. K. Q. Al-Omari A. Kılıçman |
| author_sort | S. K. Q. Al-Omari |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-bd6ef86a5fbb457e9759c9d5a840308e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd6ef86a5fbb457e9759c9d5a840308e2025-02-03T01:05:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/348701348701Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of BoehmiansS. K. Q. Al-Omari0A. Kılıçman1Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa' Applied University, Amman 11134, JordanDepartment of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaWe 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.http://dx.doi.org/10.1155/2013/348701 |
| spellingShingle | S. K. Q. Al-Omari A. Kılıçman Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of Boehmians Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2013/348701 |
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