A Fubini theorem for analytic Feynman integrals with applications (Q2718440)

In this paper, the authors establish a Fubini theorem for the analytic Wiener integrals and the analytic Feynman integral for various functionals defined on a Wiener space. They use these Fubini theorems to establish several Feynman integration formulas as corollaries. The usual Fubini theorem does not apply to the analytic Wiener integral and the analytic Feynman integral since they are not defined in terms of a countably additive nonnegative measure. Rather, they are defined in terms of a process of analytic continuation and a limiting procedure applied to a Wiener integral which is however based on such a measure.