Local noncommutative De Leeuw Theorems beyond reductive Lie groups

Bas Janssens, Benjamin Oudejans

Let $\Gamma$ be a discrete subgroup of a unimodular locally compact group $G$. In Math. Ann. 388, 4251-4305 (2024), it was shown that the $L_p$ norm of a Fourier multiplier $m$ on $\Gamma$ c…