A Parseval-type theorem applied to certain integral transforms on generalized functions |
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| Authors: | Adawi, A. Alawneh, A. |
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| Affiliation: | 1 Department of Mathematics, The Hashemite University, Zarqa 13115, Jordan 2 Department of Mathematics, The University of Jordan, Amman 11942, Jordan |
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| Abstract: | In this paper the Parseval theorem for Laplace and Stieltjestransforms which was proved by Yurekli (1989, IMA J. Appl. Math.,42, 241249) for conventional functions is proved forgeneralized functions. The theorem yields some corollaries similarto the corollaries in Yurekli (1989). |
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| Keywords: | dual space generalized functions integral transform Parseval-type theorem. |
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