Non-spectral Problem for Some Self-similar Measures
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Publication:5107997
DOI10.4153/S0008439519000304zbMath1439.28018OpenAlexW2948552716MaRDI QIDQ5107997
Ye Wang, Yue Ping Jiang, Xin-Han Dong
Publication date: 29 April 2020
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/s0008439519000304
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)
Related Items (3)
On spectral and non-spectral problem for the planar self-similar measures with four element digit sets ⋮ Non-spectral problem on infinite Bernoulli convolution ⋮ Spectrality of Sierpinski-type self-affine measures
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
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- On spectral Cantor measures
- Existence and exactness of exponential Riesz sequences and frames for fractal 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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