A change of scale formula for a function space integral on \(C_{a,b}[0,T]\) (Q2839357)

The authors summarize the content of this paper in the abstract of this paper as follows: ``Cameron and Storvick discovered change of scale formulas for Wiener integrals of functionals in a Banach algebra \( {\mathcal S}\) on the classical Wiener space. Yoo and Skoug extended these results for functionals in the Fresnel class \( {\mathcal F}(B)\) and in a generalized Fresnel class \( {\mathcal F}_{A_1,A_2}\) on an abstract Wiener space. We establish a relationship between a function space integral and a generalized analytic Feynman integral on \( C_{a,b}[0,T]\) for functionals in a Banach algebra \( {\mathcal S}(L_{a,b}^2[0,T])\). Moreover, we obtain a change of scale formula for a function space integral on \( C_{a,b}[0,T]\) of these functionals.''