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 Generalized analytic Feynman integral via function space integral of bounded cylinder functionals Bull. Korean Math. Soc. 2011 Vol. 48, No. 3, 475-489 https://doi.org/10.4134/BKMS.2011.48.3.475Published online May 1, 2011 Seung Jun Chang, Jae Gil Choi, and Hyun Soo Chung Dankook University, Dankook University, Dankook University Abstract : In this paper, we use a generalized Brownian motion to define a generalized analytic Feynman integral. We then obtain some results for the generalized analytic Feynman integral of bounded cylinder functionals of the form $$F(x)=\hat\nu(( g_1, x)^{\sim}, \ldots, (g_n, x)^{\sim})$$ defined on a very general function space $C_{a,b}[0,T]$. We also present a change of scale formula for function space integrals of such cylinder functionals. Keywords : generalized Brownian motion, generalized analytic Feynman integral, function space integral, cylinder functional, change of scale formula MSC numbers : 60J65, 28C20 Downloads: Full-text PDF