A CLASS OF SPECTRAL MORAN MEASURES ON ℝ

DOI10.1142/S0218348X20500152zbMath1434.28002OpenAlexW2987532157MaRDI QIDQ5110542

Zong-Sheng Liu, Peng-Fei Zhang, Xin-Han Dong

Publication date: 20 May 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500152

zbMATH Keywords

Fourier transformorthonormal basisspectral measureMoran measures

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (1)

Spectrality of Moran-type self-similar measures on \(\mathbb{R} \)

Cites Work

• Unnamed Item
• When does a Bernoulli convolution admit a spectrum?
• A class of spectral Moran measures
• Spectral measures with arbitrary Hausdorff dimensions
• Spectral property of the Bernoulli convolutions
• Dense analytic subspaces in fractal \(L^2\)-spaces
• Mock Fourier series and transforms associated with certain Cantor measures
• The existence of Fourier basis for some Moran measures
• Spectrality of certain Moran measures with three-element digit sets
• Spectral properties of a class of Moran measures
• Spectrality of one dimensional self-similar measures with consecutive digits
• Uniformity of measures with Fourier frames

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