# Any discrete almost periodic set of finite type is an ideal crystal - Mathematics > Complex Variables

Any discrete almost periodic set of finite type is an ideal crystal - Mathematics > Complex Variables - Download this document for free, or read online. Document in PDF available to download.

Abstract: A discrete set in the Euclidian space is almost periodic, if the measure withthe unite masses at points of the set is almost periodic in the weak sense. Weprove the following result: if A is a discrete almost periodic set and the setA-A is discrete, then A consists of a finite number of translates of a fullrank lattice.

Author: ** Sergei Favorov**

Source: https://arxiv.org/