具有三个数字集的Cantor测度的谱特征值  

Spectral eigenvalue problems of Cantor measure with three-element digit sets

作　　者：李海雄 丁道新 吴新林 DING Daoxin;WU Xinlin(School of Mathematics and Quantitative Economics,Hubei University of Education,Wuhan 430205,China)

机构地区：[1]湖北第二师范学院数学与经济学院

出　　处：《华中师范大学学报（自然科学版）》2020年第1期1-4,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学青年科学基金项目(11401189)

摘　　要：设μ3k是由迭代函数系统f d(x)=13k(x+d):d∈{0,1,2}所生成的自相似测度,该文首先利用Compatible对的概念,给出了μ3k的一组谱Λ,然后重点刻画了正整数p,使得pΛ也为μ3k的谱.Letμ3k be a self-similar measure generated by the iterated function system f d(x)=13k(x+d):d∈{0,1,2}.In this paper,according to the definition of compatible pair,a spectrumΛofμ3k is given firstly.Next,we study some positive integers p such that pΛis also a spectrum ofμ3k.

关 键 词：自相似测度 谱测度 谱特征值 乘积谱 

分 类 号：O174.2[理学—数学]