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Beurling dimension and self-similar measures |
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| Authors: | Xing-Gang He Qing-can Kang Min-wei Tang Zhi-Yi Wu |
| Institution: | 1. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, PR China;2. Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, 430079, PR China |
| Abstract: | In this paper the authors study the Beurling dimension of Bessel sets and frame spectra of some self-similar measures on and obtain their exact upper bound of the dimensions, which is the same given by Dutkay et al. (2011) 8]. The upper bound is attained in usual cases and some examples are given to explain our theory. |
| Keywords: | 28A80 42C05 Beurling dimension Fourier–Bessel measure Fourier-frame Hausdorff dimension |
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