Beurling dimension and self-similar measures

DOI10.1016/j.jfa.2017.08.011zbMath1384.28015OpenAlexW2745595434MaRDI QIDQ1702580

Xing-Gang He, Qing-can Kang, Min-wei Tang, Zhi-Yi Wu

Publication date: 28 February 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.08.011

zbMATH Keywords

Hausdorff dimensioniterated function system (IFS)Beurling dimensionFourier frameFourier-Bessel measure

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)

Related Items (9)

The cardinality of orthogonal exponentials of planar self-affine measures with three-element digit sets ⋮ EXPONENTIAL ORTHONORMAL BASES OF CANTOR–MORAN MEASURES ⋮ ORTHOGONAL EXPONENTIAL FUNCTIONS OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR DIGITS ⋮ On the intermediate value property of spectra for a class of Moran spectral measures ⋮ Arbitrarily sparse spectra for self-affine spectral measures ⋮ On dimensions of frame spectral measures and their frame spectra ⋮ On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures ⋮ Beurling dimension of a class of spectra of the Sierpinski-type spectral measures ⋮ BEURLING DIMENSION AND SELF-AFFINE MEASURES

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