Beurling-Fourier algebras on compact groups: spectral theory

Jean Ludwig, Nico Spronk, Lyudmila Turowska

For a compact group $G$ we define the Beurling-Fourier algebra $A_{\omega }(G)$ on $G$ for weights $\omega$ defined on the dual $\what G$ and taking positive values. The classical Fourier algeb…