Harmonic analysis and centers of group algebras
Harmonic analysis and centers of group algebras
The purpose of this paper is to present some results of harmonic analysis on the center of the group algebra $Z({L^1}(G))$ where G is a locally compact group. We prove that $Z({L^1}(G))$ is a regular, Tauberian, symmetric Banach $^\ast$-algebra and contains a bounded approximate identity. Wiener’s generalized Tauberian theorem is …