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 applicab...

It is proved that the unital Banach algebra of almost periodic functions of several variables with Bohr-Fourier spectrum in a given additive semigroup is an Hermite ring. The same property holds for the Wiener algebra of functions that in addition have absolutely convergent Bohr-Fourier series. As applications of the Hermite property of these algebras, we study factorizations of Wiener–Hopf typ...