期刊论文

Yan, Zhi-Hui

英文

Applied and Computational Harmonic Analysis

1063-5203

2021

52

63-81

10.1016/j.acha.2019.12.001

The authors would like to thank the referees for their valuable suggestions, and also Professor Qiyu Sun at University of Central Florida for many valuable discussions on the paper. The research is supported by the National Science Foundation of China (Nos. 11771457, 11971500 and 11922109), and the Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University.

本校为其他机构

In this paper, we study the spectral property of a class of self-affine measures mu(R,D) on R-2 generated by the iterated function system {phi(d) (.) = R-1 (.+d)}(d is an element of D) associated with the real expanding matrix R= (graphics) and the digit set D = {((0)(0)), ((1)(0)), ((0)(1))}. We show that mu(R,D) is a spectral measure if and only if 3 vertical bar b(i, )i = 1, 2. This extends the result of Deng and Lau [J. Funct. Anal., 2015], where they considered the case b(1) = b(2). And we also give a tree structure for any spectrum of mu(R,D) by providing a dec...