Generalized analytic Feynman integrals via the operators and its applications

Abstract

In this paper, we introduce a new concept of generalized analytic Feynman integral via the bounded linear operators on abstract Wiener space. We then obtain some Feynman integration formulas involving the generalized first variation. These formulas are more generalized form rather than previous papers. Finally, we establish the generalized Cameron-Storvick theorem, and give some examples to illustrate the usefulness of our results and formulas.