Abstract

We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra ${\mathcal S}(L_{a,b}^2[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.

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