On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures

DOI10.1016/j.acha.2022.11.002OpenAlexW4308620447MaRDI QIDQ2105127

Jinjun Li, Zhi-Yi Wu

Publication date: 8 December 2022

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2022.11.002

zbMATH Keywords

spectral measureplanar Moran-type Sierpinski measuresquasi-Beurling dimension

Mathematics Subject Classification ID

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

Related Items (1)

Beurling dimension of a class of spectra of the Sierpinski-type spectral measures

Cites Work

• Unnamed Item
• On the spectra of Sierpinski-type self-affine measures
• Spectra of Cantor measures
• Spectral property of Cantor measures with consecutive digits
• When does a Bernoulli convolution admit a spectrum?
• A class of spectral Moran measures
• Spectral measures with arbitrary Hausdorff dimensions
• Pointwise dimensions of general Moran measures with open set condition
• On the Beurling dimension of exponential frames
• Number theory problems from the harmonic analysis of a fractal
• Complex Hadamard matrices and the spectral set conjecture
• Analysis of orthogonality and of orbits in affine iterated function systems
• Beurling dimension of Gabor pseudoframes for affine subspaces
• Spectral property of the Bernoulli convolutions
• On the spectra of a Cantor measure
• Dense analytic subspaces in fractal \(L^2\)-spaces
• Mock Fourier series and transforms associated with certain Cantor measures
• Relationships between different dimensions of a measure
• Generalized fractal dimensions: equivalences and basic properties.
• Spectra of Bernoulli convolutions and random convolutions
• Beurling dimension and self-similar measures
• Commuting self-adjoint partial differential operators and a group theoretic problem
• On spectral Cantor measures
• Fuglede's conjecture is false in 5 and higher dimensions
• Spectrality of Sierpinski-Moran measures
• Uniformity of spectral self-affine measures
• Spectrality of a class of self-affine measures with decomposable digit sets
• Convergence of mock Fourier series
• Necessary density conditions for sampling an interpolation of certain entire functions
• Arbitrarily sparse spectra for self-affine spectral measures
• Sufficient conditions for the spectrality of self-affine measures with prime determinant
• Dimension, entropy and Lyapunov exponents
• Hadamard triples generate self-affine spectral measures
• On dimensions of frame spectral measures and their frame spectra
• Fourier Frames for Surface-Carried Measures
• On spectra and spectral eigenmatrix problems of the planar Sierpinski measures
• Divergence of the mock and scrambled Fourier series on fractal measures
• Fuglede’s conjecture fails in dimension 4
• Tiles with no spectra
• On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form

This page was built for publication: On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures