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Non-spectrality of self-affine measures

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: self affine; non spectrality; affine measures; non spectral; spectrality self

Journal Title: Journal of Functional Analysis
Year Published: 2019

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