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IMA Journal of Applied Mathematics 2003 68(6):587-593; doi:10.1093/imamat/68.6.587
© 2003 by Institute of Mathematics and its Applications
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A Parseval-type theorem applied to certain integral transforms on generalized functions

A. Adawi1 and A. Alawneh2

1 Department of Mathematics, The Hashemite University, Zarqa 13115, Jordan 2 Department of Mathematics, The University of Jordan, Amman 11942, Jordan

In this paper the Parseval theorem for Laplace and Stieltjes transforms which was proved by Yurekli (1989, IMA J. Appl. Math., 42, 241–249) for conventional functions is proved for generalized functions. The theorem yields some corollaries similar to the corollaries in Yurekli (1989).

Keywords: dual space; generalized functions; integral transform; Parseval-type theorem.

Received 2 November 2001. Revised 25 July 2002.


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