典型文献
Orthogonal Exponentials of Planar Self-Affine Measures with Four-Element Digit Set
文献摘要：
Let μM,D be a self-affine measure generated by an expanding real matrix M=(ae fb)and the digit set D={(0,0)t.(1,0)t,(0,1)t.(1,1)t}.In this paper,we con-sider that when does L2(μM,D)admit an infinite orthogonal set of exponential func-tions?Moreover,we obtain that if e=f = 0 and a,b ∈{p/q,p,q∈2Z+1},then there exist at most 4 mutually orthogonal exponential functions in L2(μM,D),and the number 4 is the best possible.
文献关键词：
中图分类号：
作者姓名：
Hong Guang Li
作者机构：
College of Mathematics and Computational Science,Huai Hua University,Huai Hua 418000,China
文献出处：
引用格式：
[1]Hong Guang Li-.Orthogonal Exponentials of Planar Self-Affine Measures with Four-Element Digit Set)[J].数学研究（英文）,2022(03):327-336
A类：
Exponentials,2Z+1
B类：
Orthogonal,Planar,Self,Affine,Measures,Four,Element,Digit,Set,Let,self,affine,measure,generated,by,expanding,real,matrix,ae,fb,digit,set,In,this,paper,we,con,sider,that,when,does,L2,admit,infinite,orthogonal,exponential,Moreover,obtain,if,then,there,exist,most,mutually,functions,number,best,possible
AB值：
0.72391
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机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
