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Abstract and Applied AnalysisVolume 2013 2013, Article ID 565832, 12 pages

Research ArticleDepartment 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.

Abstract

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 .





Autor: Jae Gil Choi, Hyun Soo Chung, and Seung Jun Chang

Fuente: https://www.hindawi.com/



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