Fourier rearrangements on discrete groups: $L^p$ and operator-norm subsequence convergence

Tao Mei, Sebastian Vargas-Loaiza

Let $\Gamma$ be an infinite finitely generated group that is hyperbolic or of polynomial growth. For $f$ belonging to the reduced group $C^{\ast }$ algebra $C_r^{\ast }(\Gamma )$, we construct a rearrang…