Some tools to study sets of spectral synthesis for the Fourier algebra $A(G)$ of a LCA group $G$ and application
Volume 8, Issue 2 (2023), pp. 365–405
Pub. online: 26 July 2023
Type: Article
Received
28 March 2023
28 March 2023
Accepted
26 June 2023
26 June 2023
Published
26 July 2023
26 July 2023
Notes
This paper is dedicated to my old friend Professor Anthony To-Ming Lau on the occasion of his 80th birthday.
Abstract
Let $G$ be a locally compact Abelian group and $A(G)$ its Fourier Algebra. In this paper, in the setting of the Fourier algebra $A(G)$ of $G$, we present some tools to study the sets of synthesis and Ditkin sets and, to illustrate the use of them, we give a large number applications of the tools introduced.