Change of Scale Formulas for Wiener Integrals Related to Fourier-Feynman Transform and Convolution

Abstract EN

Cameron and Storvick discovered change of scale formulas for Wiener integrals of functionals in Banach algebra S on classical Wiener space.

Yoo and Skoug extended these results for functionals in the Fresnel class F ( B ) and in a generalized Fresnel class F A 1 , A 2 on abstract Wiener space.

We express Fourier-Feynman transform and convolution product of functionals in S as limits of Wiener integrals.

Moreover we obtain change of scale formulas for Wiener integrals related to Fourier-Feynman transform and convolution product of these functionals.