Annals of Mathematical Sciences and Applications
Volume 8 (2023)
Special issue dedicated to Anthony To-Ming Lau on his 80th birthday
Guest Editors: Xiaolong Qin, Ngai-Ching Wong and Jen-Chih Yao
Some tools to study sets of spectral synthesis for the Fourier algebra $A(G)$ of a LCA group $G$ and application
Pages: 365 – 405
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.
Fourier algebra, Helson set, Ditkin set, set of synthesis
2010 Mathematics Subject Classification
Primary 43A45, 43A46. Secondary 43A20.
This paper is dedicated to my old friend Professor Anthony To-Ming Lau on the occasion of his 80th birthday.
Received 28 March 2023
Accepted 26 June 2023
Published 26 July 2023