Sequential Generalized Transforms on Function Space. (8th December 2013)

• Record Type: Journal Article
• Authors: Choi, Jae Gil; Chung, Hyun Soo; Chang, Seung Jun
• Other Names: Anderson Douglas Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-08
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/565832
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We define two sequential transforms on a function space C a, b [ 0, T ] induced by generalized Brownian motion process. We then establish the existence of the sequential transforms for functionals in a Banach algebra of functionals on C a, b [ 0, T ] . 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 C a, b [ 0, T ] .