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http://dx.doi.org/10.4134/JKMS.j150317

A TRANSLATION THEOREM FOR THE GENERALIZED FOURIER-FEYNMAN TRANSFORM ASSOCIATED WITH GAUSSIAN PROCESS ON FUNCTION SPACE  

Chang, Seung Jun (Department of Mathematics Dankook University)
Choi, Jae Gil (Department of Mathematics Dankook University)
Ko, Ae Young (Department of Mathematics Dankook University)
Publication Information
Journal of the Korean Mathematical Society / v.53, no.5, 2016 , pp. 991-1017 More about this Journal
Abstract
In this paper we define a generalized analytic Fourier-Feynman transform associated with Gaussian process on the function space $C_{a,b}[0,T]$. We establish the existence of the generalized analytic Fourier-Feynman transform for certain bounded functionals on $C_{a,b}[0,T]$. We then proceed to establish a translation theorem for the generalized transform associated with Gaussian process.
Keywords
generalized Brownian motion process; Gaussian process; generalized analytic Feynman integral; generalized analytic Fourier-Feynman transform; translation theorem;
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Times Cited By KSCI : 5  (Citation Analysis)
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