FACTS ABOUT THE FOURIER-STIELTJES TRANSFORM OF VECTOR MEASURES ON COMPACT GROUPS
Yaogan Mensah · 2013
Abstract. This paper gives an interpretation of the Fourier-Stieltjes trans-form 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. 1.