Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2013/539240 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Mellin transform; Generalized functions |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 11 Sep 2014 00:34 |
| Last Modified: | 19 Oct 2017 05:44 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/539240 |
| URI: | http://psasir.upm.edu.my/id/eprint/30264 |
| Statistic Details: | View Download Statistic |
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