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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

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Official URL: http://dx.doi.org/10.1155/2013/539240

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.

Item Type:Article
Keyword:Mellin transform; Generalized functions
Faculty or Institute:Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2013/539240
ID Code:30264
Deposited By: Umikalthom Abdullah
Deposited On:11 Sep 2014 08:34
Last Modified:15 Feb 2016 12:28

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