Sequential Generalized Transforms on Function Space

Jae Gil Choi, Hyun Soo Chung and Seung Jun Chang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We define two sequential transforms on a function space Ca,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 Ca,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 Ca,b[0, T].

Date: 2013
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https://doi.org/10.1155/2013/565832

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:565832

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