On a transform of Fourier-Stieltjes type for C*-algebra valued measures

Abstract

In this paper we introduce a transformation of Fourier-Stieltjes type acting on C *-algebra valued measures on a locally compact group. This transformation is related to an action of the group on a Hilbert C *module. We obtain among other results an integral representation of a set of bounded operators and the analogue of the convolution theorem.

Aspects of the Fourier-Stieltjes Transform of C*-algebra Valued Measures

“…A recent study concerning this subject can be found in [5]. Our analysis here borrows ideas from [6,7,8,9]. Methods there were applied to the case where G is a compact group or G acts on a finite dimensional Hilbert C * -module.…”