Some aspects of wiener integrals

Abstract

Let C[a,b] denote the set of all real-valued continuous function x defined on [a,b] such that x(a) = 0. In this thesis, we define the Wiener and Feynman integrals with complex parameters for functionals defined on C[a,b] , and we have a sufficient condition for the existence or the complex sequential Wiener integral for analytic and harmonic functionals. Moreover we have that this integral equals the ordinary Wiener integral, Finally, we define the limiting sequential Wiener and Feynman integrals, and we also establish an existence theorem for the limiting Feynman integral for analytic and harmonic functionals in such a way that it equals the ordinary Wiener integral.