International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 495891 | https://doi.org/10.1155/S0161171204305260

Bong Jin Kim, Byoung Soo Kim, David Skoug, "Integral transforms, convolution products, and first variations", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 495891, 20 pages, 2004. https://doi.org/10.1155/S0161171204305260

Integral transforms, convolution products, and first variations

Received21 May 2003

Abstract

We establish the various relationships that exist among the integral transform α,βF, the convolution product (FG)α, and the first variation δF for a class of functionals defined on K[0,T], the space of complex-valued continuous functions on [0,T] which vanish at zero.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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