Notes on the Feynman integral. I

Abstract

We extend somewhat and simplify substantially some of the recent work of Cameron and Storvick involving the analytic Feynman integral of certain functions on Wiener space of the form i*X#)=exp j I (t, x(t))dtl; here is a Complexl y J ) valued function on (a, b]xR and x is an element of Wiener space, that is, a continuous function on [a, b] which vanishes at a.