Author(s)

Young Sik Kim

Department of Mathematics, College of Natural Sciences, Hanyang University, Seoul, South Korea.

The purpose of this paper is to investigate the behavior of a Wiener integral along the curve C of the scale factor ρ > 0 for the Wiener integral ∫_C0[0,T]F(ρx)dm(x) about the function defined on the Wiener space C_0[0,T], where θ(t,u) is a Fourier-Stieltjes transform of a complex Borel measure.

Wiener Space, Wiener Integral, Feynman Integral, Analytic Wiener Integral, Analytic Feynman Integral, Fourier-Stieltjes Transform, Change of Scale Formula, Scale Factor

Kim, Y. (2018) Behavior of a Scale Factor for Wiener Integrals and a Fourier Stieltjes Transform on the Wiener Space. Applied Mathematics, 9, 488-495. doi: 10.4236/am.2018.95035.