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Seung Jun Chang, Jae Gil Choi, "Relationships of convolution products, generalized transforms, and the first variation on function space", International Journal of Mathematics and Mathematical Sciences, vol. 29, Article ID 159548, 18 pages, 2002. https://doi.org/10.1155/S0161171202006361
Relationships of convolution products, generalized transforms, and the first variation on function space
Abstract
We use a generalized Brownian motion process to define the
generalized Fourier-Feynman transform, the convolution product,
and the first variation. We then examine the various
relationships that exist among the first variation, the generalized
Fourier-Feynman transform, and the convolution product for
functionals on function space that belong to a Banach algebra
Copyright
Copyright © 2002 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.
