On the Functorial Properties of the p-Analog of the Fourier–Stieltjes Algebras

In this paper, some known results about the functorial properties of Fourier–Stieltjes algebra, B(G), will be generalized. First all, idempotent theorem on algebra promoted and linked to p-analog one. Next, $$\pi$$ -Fourier space introduced by Arsac given, taking advantage theory ultrafilters, connection between dual p-pseudofunctions fully investigated. As main result, one significant applicable algebras achieved.