On modified Mellin transform of generalized functions
We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. Then we describe the domain and range spaces where the extended modified transform is well defined....
| 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/30264/ http://psasir.upm.edu.my/id/eprint/30264/1/30264.pdf |
| _version_ | 1848846627861692416 |
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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 investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. Then we describe the domain and range spaces where the extended modified transform is well defined. Consistency, convolution, analyticity, continuity, and sufficient theorems for the proposed transform have been established. An inversion formula is also obtained and many properties are given. |
| first_indexed | 2025-11-15T09:05:43Z |
| format | Article |
| id | upm-30264 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:43Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302642017-10-19T05:44:08Z http://psasir.upm.edu.my/id/eprint/30264/ On modified Mellin transform of generalized functions Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. Then we describe the domain and range spaces where the extended modified transform is well defined. Consistency, convolution, analyticity, continuity, and sufficient theorems for the proposed transform have been established. An inversion formula is also obtained and many properties are given. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30264/1/30264.pdf Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2013) On modified Mellin transform of generalized functions. Abstract and Applied Analysis, 2013. art. no. 539240. pp. 1-6. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/539240/abs/ 10.1155/2013/539240 |
| spellingShingle | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem On modified Mellin transform of generalized functions |
| title | On modified Mellin transform of generalized functions |
| title_full | On modified Mellin transform of generalized functions |
| title_fullStr | On modified Mellin transform of generalized functions |
| title_full_unstemmed | On modified Mellin transform of generalized functions |
| title_short | On modified Mellin transform of generalized functions |
| title_sort | on modified mellin transform of generalized functions |
| url | http://psasir.upm.edu.my/id/eprint/30264/ http://psasir.upm.edu.my/id/eprint/30264/ http://psasir.upm.edu.my/id/eprint/30264/ http://psasir.upm.edu.my/id/eprint/30264/1/30264.pdf |