%0 Journal Article %T Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups %A Yaogan MENSAH %J International Journal of Analysis and Applications %D 2013 %I Etamaths Publishing %X This paper gives an interpretation of the Fourier-Stieltjes transform of vector measures by means of the tensor product of Hilbert spaces. It also extends the Kronecker product to some operators arising from the Fourier-Stieltjes transformation and associated with the equivalence classes of unitary representations of a compact group. We obtain among other results the effect of this product on convolution of vector measures. %U http://www.etamaths.com/index.php/ijaa/article/view/80