Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
