a banach algebra similar to cameron-storvick’s one with its equivalent spaces

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ID: 160607
2018
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Abstract
Let C[0,T] denote an analogue of a generalized Wiener space, that is, the space of continuous, real-valued functions on the interval [0,T]. In this paper, we introduce a Banach algebra on C[0,T] which generalizes Cameron-Storvick’s one, the space of generalized Fourier-Stieltjes transforms of the C-valued, and finite Borel measures on L2[0,T]. We also investigate properties of the Banach algebra on C[0,T] and equivalence between the Banach algebra and the Fresnel class which plays a significant role in Feynman integration theories and quantum mechanics.
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Authors Dong Hyun Cho
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Journal Biosensors
Year 2018
DOI
10.1155/2018/9345126
URL
http://dx.doi.org/10.1155/2018/9345126
Keywords
mathematics

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