We establish some relationships between Fourier-Feynman transforms and Wiener integrals for certain bounded cylinder functions of the form; F (x ) = (μ) over cap ((h(1) , x ) similar to , ..., (h(n) , x ) similar to ), x is an element of B , where (μ) over cap: R-n --> C is the Fourier-transform of the complex-valued Borel Measure mu on (R-n), the Borel sigma-algebra of R-n with parallel tomuparallel to < infinity, on the abstract Wiener Space.