Aspects of the Fourier-Stieltjes Transform of C*-algebra Valued Measures
Koami Gbemou
Department of Mathematics, University of Lomè, Togo.
Yaogan Mensah *
Department of Mathematics, University of Lome, Togo and ICMPA-UNESCO Chair, University of Abomey-Calavi, Benin.
*Author to whom correspondence should be addressed.
Abstract
This paper deals with the Fourier-Stieltjes transform of C∗-algebra valued measures. We construct an involution on the space of such measures, define their Fourier-Stieltjes transform and derive a convolution theorem.
Keywords: C ∗ -algebra, vector measure, Fourier-Stieltjes transform, convolution.