Non-spectrality of self-affine measures

摘要

Under some supportive evidences of known results about non spectral self-affine measures, Li proposed a conjecture in [18] (J. Funct. Anal. 255, 2008), which is so-called "non-spectral conjecture". In this paper, we prove that Li's non-spectral conjecture is true under some suitable condition. (C) 2019 Elsevier Inc. All rights reserved.