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http://dx.doi.org/10.4134/BKMS.2013.50.1.217

A FUBINI THEOREM FOR GENERALIZED ANALYTIC FEYNMAN INTEGRAL ON FUNCTION SPACE  

Lee, Il Yong (Department of Mathematics Dankook University)
Choi, Jae Gil (Department of Mathematics Dankook University)
Chang, Seung Jun (Department of Mathematics Dankook University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 217-231 More about this Journal
Abstract
In this paper we establish a Fubini theorem for generalized analytic Feynman integral and $L_1$ generalized analytic Fourier-Feynman transform for the functional of the form $$F(x)=f({\langle}{\alpha}_1,\;x{\rangle},\;{\cdots},\;{\langle}{{\alpha}_m,\;x{\rangle}),$$ where {${\alpha}_1$, ${\cdots}$, ${\alpha}_m$} is an orthonormal set of functions from $L_{a,b}^2[0,T]$. We then obtain several generalized analytic Feynman integration formulas involving generalized analytic Fourier-Feynman transforms.
Keywords
generalized Brownian motion process; generalized analytic Feynman integral; generalized analytic Fourier-Feynman transform; Fubini theorem;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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