The spectrality of a class of Moran measures with two-element digit sets in the plane
LI Haixiong1,2， WU Xinlin1,2， DING Daoxin1,2
1.School of Mathematics and Economics， Hubei University of Education， Wuhan 430205， China；2.Bigdata Modeling and Intelligent Computing Research Institute， Hubei University of Education， Wuhan 430205， China
Abstract：Let Mn＝be an expanding positive integer matrix for each n≥1， and let D＝2 be a finite digit set. In this paper， according to constructing the spectrum of the Moran measure with two-element digit sets in the line， we obtain the necessary and sufficient condition for Moran measure μMn，D to be a spectral measure is that an(n≥2) is even. Furthermore， the structure of a kind of spectrum for the Moran measure μMn，D is given in the end.
李海雄,吴新林,丁道新,. 平面上两个数字集生成的一类Moran测度的谱性[J]. 华中师范大学学报(自然科学版), 2021, 55(2): 171-175.
LI Haixiong,WU Xinlin,DING Daoxin,. The spectrality of a class of Moran measures with two-element digit sets in the plane. journal1, 2021, 55(2): 171-175.
2021, Vol. 55 
