Smooth and weak synthesis of the anti-diagonal in Fourier algebras of Lie groups

B. Doug Park, Ebrahim Samei

Let $G$ be a Lie group of dimension $n$, and let $A(G)$ be the Fourier algebra of $G$. We show that the anti-diagonal ${\check{\Delta }}_G=\{(g,g^{-1})\in G\times G\mid g\in G\}$ is both a…