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