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Journal of Function Spaces
Volume 2015, Article ID 580653, 9 pages
Research Article

Shifting and Variational Properties for Fourier-Feynman Transform and Convolution

School of Liberal Arts, Seoul National University of Science and Technology, Seoul 01811, Republic of Korea

Received 5 June 2015; Accepted 10 August 2015

Academic Editor: Dashan Fan

Copyright © 2015 Byoung Soo Kim. 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.


Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. We also study shifting, scaling, and modulation properties for the convolution product of functionals in .