Abstract

In this paper, we dene an Lp analytic generalized Fourier- Feynman transform and a convolution product of functionals in a Ba- nach algebra F ( Ca;b(0 ;T )) which is called the Fresnel type class, and in more general class FA1;A2 of functionals dened on general function space Ca;b(0 ;T ) rather than on classical Wiener space. Also we obtain some relationships between the Lp analytic generalized Fourier-Feynman transform and convolution product for functionals in F ( Ca;b(0 ;T )) and in FA1;A2 .

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