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On modified Mellin transform of generalized functions


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


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
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