Sets of $p$-uniqueness on noncommutative locally compact groups
Volume 149 / 2017
Colloquium Mathematicum 149 (2017), 257-263
MSC: Primary 43A15, 43A46; Secondary 42A63.
DOI: 10.4064/cm7075-11-2016
Published online: 16 June 2017
Abstract
We prove that a closed subgroup $H$ of a locally compact group $G$ is a set of $p$-uniqueness ($1 \lt p \lt \infty $) if and only if $H$ is locally negligible. We also obtain the inverse projection theorem for sets of $p$-uniqueness.
