Fourier-Feynman transforms and Wiener integrals in the Fresnel class on abstract Wiener spaces

摘要

The purpose of this article is to establish some relationships between L_1-analytic Fourier-Feynman transforms(T_q~((1)) (F))(y) and Wiener integrals for certain bounded functions F in the Fresnel class F(B) of the form: F(x) = ∫_H exp{i(h, x)～}dμ(h), μ ∈ M(H), on the abstract Wiener space.