Document Type: Original Article
Department of Mathematics, Kyonggi University, Suwon 16227, Republic of Korea
Let $C[0,T]$ denote the space of continuous, real-valued functions on $[0,T]$. In this paper we introduce two Banach algebras: one of them is defined on $C[0,T]$ and the other is a space of equivalence classes of measures over paths of bounded variation on $[0,T]$. We establish an isometric isomorphism between them, and evaluate analytic Feynman integrals of the functions in the Banach algebras which play significant roles in the Feynman integration theories and quantum mechanics.