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Tree structure of spectra of spectral self-affine measures.

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Title: Tree structure of spectra of spectral self-affine measures.
Authors: Deng, Qi-Rong1 (AUTHOR) dengfractal@126.com, Dong, Xin-Han2 (AUTHOR) xhdong@hunnu.edu.cn, Li, Ming-Tian1 (AUTHOR) limtwd@fjnu.edu.cn
Source: Journal of Functional Analysis. Aug2019, Vol. 277 Issue 3, p937-957. 21p.
Subjects: Fourier transforms
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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.jfa.2019.04.006
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 21
        StartPage: 937
    Subjects:
      – SubjectFull: Fourier transforms
        Type: general
    Titles:
      – TitleFull: Tree structure of spectra of spectral self-affine measures.
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            NameFull: Deng, Qi-Rong
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            NameFull: Dong, Xin-Han
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            NameFull: Li, Ming-Tian
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              M: 08
              Text: Aug2019
              Type: published
              Y: 2019
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              Value: 277
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