Pompeiu's problem on discrete space.
Let [unk] be a finite family of finite subsets of the n-dimensional lattice Z(n), and let tau denote the group of all translations of Z(n). We shall here consider the Pompeiu problem for the family [unk]-namely, to determine when the only function f:Z(n) --> C such that [Formula: see text] is the zero function.
Zeilberger
D
D
The Institute for Advanced Study, Princeton, New Jersey 08540.