论文标题
离散组的双面庞贝问题
The two-sided Pompeiu problem for discrete groups
论文作者
论文摘要
我们考虑了离散组$ g $的双面庞贝类型问题。我们为有限的$ k $ $ g $提供了必要的条件，以使$ \ mathcal {f}（g）$ - 庞培属性。使用von neumann代数技术，我们为$ g $提供必要的条件，使其成为$ \ ell^2（g）$ - 庞培组
We consider a two-sided Pompeiu type problem for a discrete group $G$. We give necessary and sufficient conditions for a finite set $K$ of $G$ to have the $\mathcal{F}(G)$-Pompeiu property. Using group von Neumann algebra techniques, we give necessary and sufficient conditions for $G$ to be a $\ell^2(G)$-Pompeiu group
