一类集合为Weyl-Heisenberg框架集的刻画

摘要

借助复分析中单位根的特殊性,本文讨论了Littlewood问题中k=3和4的情形,进一步给出了当集合A所含元素个数为3或4时,集合E=[0.1）＋A为WH-框架集的刻画.%In the paper,by the particularity of unit roots,we discussed the question of Littlewood for the case of 3 and 4.Futhermore,when the elements of some sets is 3 or 4,we obtained the conditons of being a Weyl-Heisenberg frame set.