TITLE:
Behavior of a Scale Factor for Wiener Integrals and a Fourier Stieltjes Transform on the Wiener Space
AUTHORS:
Young Sik Kim
KEYWORDS:
Wiener Space, Wiener Integral, Feynman Integral, Analytic Wiener Integral, Analytic Feynman Integral, Fourier-Stieltjes Transform, Change of Scale Formula, Scale Factor
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.5,
May
28,
2018
ABSTRACT: 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 C0[0,T], where θ(t,u) is a Fourier-Stieltjes transform
of a complex Borel measure.