任何离散的有限型概周期集都是理想晶体
Any discrete almost periodic set of finite type is an ideal crystal
摘要:
欧氏空间中的一个离散集是概周期的,如果在该离散集上的点的单位质量的测度是弱概周期的.我们证明了以下结果:如果A是离散概周期集,且A-A是离散的,则A由满秩格的有限个平移构成。
英文摘要:
A discrete set in the Euclidian space is almost periodic, if the measure with the unite masses at points of the set is almost periodic in the weak sense. We prove the following result: if A is a discrete almost periodic set and the set A-A is discrete, then A consists of a finite number of translates of a full rank lattice.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。