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Abstract and Applied Analysis
Volume 2013, Article ID 565832, 12 pages
Research Article

Sequential Generalized Transforms on Function Space

Department of Mathematics, Dankook University, Cheonan 330-714, Republic of Korea

Received 20 August 2013; Accepted 2 November 2013

Academic Editor: Douglas Anderson

Copyright © 2013 Jae Gil Choi et al. 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.


We define two sequential transforms on a function space induced by generalized Brownian motion process. We then establish the existence of the sequential transforms for functionals in a Banach algebra of functionals on . We also establish that any one of these transforms acts like an inverse transform of the other transform. Finally, we give some remarks about certain relations between our sequential transforms and other well-known transforms on .