Lau, A.T-MLoy, Richard2015-12-130022-1236http://hdl.handle.net/1885/79928It is shown how the basic constructs of harmonic analysis, such as convolution, algebras of measures and functions (including Fourier-Stieltjes algebras) can be developed for compact Hausdorff right topological groups. In particular, the properties and structure of these new objects are compared with their classical analogues in the topological group case.Keywords: Amenability; Arens regularity; Banach algebra; Compact right topological group; Fourier-Stieltjes algebra; Measure algebra200510.1016/j.jfa.2005.04.0062015-12-11