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Tree structure of spectra of spectral self-affine measures - MaRDI portal

Tree structure of spectra of spectral self-affine measures (Q2420447)

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Tree structure of spectra of spectral self-affine measures
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    Tree structure of spectra of spectral self-affine measures (English)
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    6 June 2019
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    The authors consider integral self-affine spectral measures, such that the zeros of their Fourier transform are all integral vectors; and they prove that their spectrum has a tree structure. They also study the above problem relative to subsets, and obtain nice characterizations as well. Applications to known cases accomplish the paper.
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    self-affine measure
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    spectrum
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    orthogonal basis
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    compatible pair
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