Convolution and analytic Fourier-Feynman transforms over paths in abstract Wiener space

In this paper, we define an L-p analytic Fourier-Feynman transform on C-0(B) , the space of abstract Wiener space valued continuous functions on [0, T] . We establish existence theorems and inverse transform theorems of this transform for some classes of cylinder type functions on C-0(B) having the form F(x) = f((h(1), x(s(1)))(similar to) ,hm, x(sn))similar to{s/n)(similar to) . Moreover we present various relationships involving convolution and the transforms.