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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.16 No.1

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A FRESNEL TYPE CLASS ON FUNCTION SPACE

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.1, pp.107-119
Chang, Seung-Jun
Choi, Jae-Gil
Lee, Sang-Deok
Chang,, S. , Choi,, J. , & Lee,, S. (2009). A FRESNEL TYPE CLASS ON FUNCTION SPACE. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(1), 107-119.

Abstract

In this paper we define a Banach algebra on very general function space induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.

keywords
generalized Brownian motion process, Paley-Wiener-Zygmund stochastic integral, Fresnel type class, generalized Kac-Feynman integral equation

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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