(1) Department of Mathematics Education, Kon-Kuk University, Seoul, 143-701, Korea;(2) Department of Mathematics, Yonsei University, Seoul, 120-749, Korea;(3) Department of Mathematics, Yonsei University, Kangwondo, 220-710, Korea
Abstract:
We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and
first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.
This revised version was published online in June 2006 with corrections to the Cover Date.