Integration by parts formulas for analytic Feynman integrals of unbounded functionals

Chang, Choi and Skoug established several integration by parts formulas involving generalized Feynman integrals, generalized Fourier-Feynman transforms, and the first variation of cylinder-type functionals. We establish integration by parts formulas for analytic Feynman integrals of unbounded functionals on abstract Wiener space having the form [image omitted] where G belongs to the Fresnel class and is the Fourier transform of a complex Borel measure of bounded variation on n. We also study integration by parts formulas for the analytic Feynman integral involving the Fourier-Feynman transform of those functionals in F(B).