GENERALIZED ANALYTIC FEYNMAN INTEGRALS INVOLVING GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND GENERALIZED INTEGRAL TRANSFORMS

Abstract

In this paper, we use a generalized Brownian motion process to define a generalized analytic Feynman integral. We then establish several integration formulas for generalized analytic Feynman integrals, generalized analytic Fourier-Feynman transforms and generalized integral transforms of functionals in the class of functionals E0. Finally, we use these integration formulas to obtain several generalized Feynman integrals involving the generalized analytic Fourier-Feynman transform and the generalized integral transform of functionals in E0.

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