Spectrality and non-spectrality of the Riesz product measures with three elements in digit sets
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DOI: 10.1016/j.jfa.2018.10.017
Abstract: Abstract Let μ be a Borel probability measure with compact support in R . The μ is called a spectral/Riesz spectral/frame spectral measure if there exists a set Λ ⊂ R such that the family… read more here.
Keywords: non spectrality; riesz product; spectrality riesz; spectrality non ... See more keywords
Non-spectrality of self-affine measures
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DOI: 10.1016/j.jfa.2019.05.015
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… read more here.
Keywords: self affine; non spectrality; affine measures; non spectral ... See more keywords