The two-sided Pompeiu problem for discrete groups
Functional Analysis
2020-09-30 v1 Group Theory
Operator Algebras
Rings and Algebras
Abstract
We consider a two-sided Pompeiu type problem for a discrete group . We give necessary and sufficient conditions for a finite set of to have the -Pompeiu property. Using group von Neumann algebra techniques, we give necessary and sufficient conditions for to be a -Pompeiu group
Keywords
Cite
@article{arxiv.2009.13651,
title = {The two-sided Pompeiu problem for discrete groups},
author = {Peter A. Linnell and Michael J. Puls},
journal= {arXiv preprint arXiv:2009.13651},
year = {2020}
}