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http://dx.doi.org/10.7468/jksmeb.2012.19.2.87

SERIES EXPANSIONS OF THE ANALYTIC FEYNMAN INTEGRAL FOR THE FOURIER-TYPE FUNCTIONAL  

Lee, Il-Yong (Department of Mathematics, Dankook University)
Chung, Hyun-Soo (Department of Mathematics, Dankook University)
Chang, Seung-Jun (Department of Mathematics, Dankook University)
Publication Information
The Pure and Applied Mathematics / v.19, no.2, 2012 , pp. 87-102 More about this Journal
Abstract
In this paper, we consider the Fourier-type functionals introduced in [16]. We then establish the analytic Feynman integral for the Fourier-type functionals. Further, we get a series expansion of the analytic Feynman integral for the Fourier-type functional $[{\Delta}^kF]^{\^}$. We conclude by applying our series expansion to several interesting functionals.
Keywords
analytic Feynman integral; Fourier transform; Fourier-type functional; hypergeometric function; Wiener space;
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Times Cited By KSCI : 1  (Citation Analysis)
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