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2013 Sequential Generalized Transforms on Function Space
Jae Gil Choi, Hyun Soo Chung, Seung Jun Chang
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/565832


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 ] .


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Jae Gil Choi. Hyun Soo Chung. Seung Jun Chang. "Sequential Generalized Transforms on Function Space." Abstr. Appl. Anal. 2013 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1296.46041
MathSciNet: MR3139459
Digital Object Identifier: 10.1155/2013/565832

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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