Abstract

In this paper, we introduce the concepts of the analytic Feynman integral and the analytic Fourier–Feynman transform associated with bounded linear operators on abstract Wiener spaces. We then investigate Fubini theorems for the analytic Feynman integrals and the transforms. The Fubini theorems for the transforms investigated in this paper are to express the iterated Fourier–Feynman transform associated with bounded linear operators as a single Fourier–Feynman transform.

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