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Abstract For an integral self-affine spectral measure, if the zeros of its Fourier transform are all integral vectors, it is proven that any its spectrum has a tree structure. For… Click to show full abstract
Abstract For an integral self-affine spectral measure, if the zeros of its Fourier transform are all integral vectors, it is proven that any its spectrum has a tree structure. For any subset with such tree structure, a sufficient condition and a necessary condition for the subset to be a spectrum are given, respectively. Applications are given to some known results as special cases.
Keywords:
self affine;
structure;
spectra spectral;
tree structure;
structure spectra
Journal Title: Journal of Functional Analysis
Year Published: 2019
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Journal Title: Journal of Functional Analysis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!