Orthogonal exponential functions of self-similar measures with consecutive digits in \(\mathbb{R}\)

DOI10.1016/j.jmaa.2018.07.062zbMath1396.28023OpenAlexW2886036216WikidataQ115570298 ScholiaQ115570298MaRDI QIDQ1664487

Y. Aharonov

Publication date: 27 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.062

zbMATH Keywords

Fourier transformspectral measureself-similar measureorthogonal exponential functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80)

Related Items (10)

Orthogonal Exponentials of Planar Self-Affine Measures with Four-Element Digit Set ⋮ Spectral property of certain Moran measures in \(\mathbb{R}^n\) ⋮ Spectral property of the planar self-affine measures with three-element digit sets ⋮ On the Fourier orthonormal bases of a class of self-similar measures on \(\mathbb{R}^n\) ⋮ On the spectra of a class of self-affine measures on \(\mathbb{R}^2\) ⋮ Non-spectral Problem for Some Self-similar Measures ⋮ Spectrality of Moran measures with finite arithmetic digit sets ⋮ Orthogonal exponentials of self-affine measures on ℝn ⋮ Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket ⋮ ORTHOGONAL EXPONENTIAL FUNCTIONS OF SELF-AFFINE MEASURES IN ℝn

Cites Work

• When does a Bernoulli convolution admit a spectrum?
• Spectral measures with arbitrary Hausdorff dimensions
• Non-spectral problem for the planar self-affine measures
• Spectra of a class of self-affine measures
• Spectral property of the Bernoulli convolutions
• On the spectra of a Cantor measure
• Dense analytic subspaces in fractal \(L^2\)-spaces
• Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces by P. E. T. Jorgensen and S. Pedersen
• On spectral Cantor measures
• Spectrality of one dimensional self-similar measures with consecutive digits
• On spectral \({N}\)-Bernoulli measures
• Convergence of mock Fourier series

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