On the Feynman integral in the space of continuous functions on a compact set. I

The Feynman integral in the space of continuous functions defined on a compact set is defined as the analytic continuation of the generalized Wiener integral in the sense of J. Kuelbs. We prove a theorem on the computation of Feynman integrals of functions that depent on linear functionals. Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 37, 1994, pp. 32–36.