MULTIPLE Lp ANALYTIC GENERALIZED FOURIER-FEYNMAN TRANSFORM ON A FRESNEL TYPE CLASS

Abstract

In this paper, we define a class of functional defined on a very general function space Ca,b[0, T ] like a Fresnel class of an abstract Wiener space. We then define the multiple Lp analytic generalized Fourier-Feynman transform and the generalized convolution product of functionals on function space Ca,b[0, T ]. Finally, we establish some relationships between the multiple Lp analytic generalized Fourier-Feynman transform and the generalized convolution product for functionals in F(Ca,b[0, T ]).

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