Spectrality of a class of self-affine measures on R2 *
DOI10.1088/1361-6544/ac2493zbMath1478.28006OpenAlexW3201916090MaRDI QIDQ5157820
Jing-Cheng Liu, Ming-Liang Chen, Xiang-Yang Wang
Publication date: 20 October 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ac2493
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) Integration with respect to measures and other set functions (28A25) Fractals (28A80)
Related Items (8)
Cites Work
- Unnamed Item
- Spectral self-affine measures on the planar Sierpinski family
- Spectral property of Cantor measures with consecutive digits
- When does a Bernoulli convolution admit a spectrum?
- A class of spectral Moran measures
- On the Fourier orthonormal bases of Cantor-Moran measures
- Complex Hadamard matrices and the spectral set conjecture
- Analysis of orthogonality and of orbits in affine iterated function systems
- Fourier frequencies in affine iterated function systems
- Spectral property of the Bernoulli convolutions
- On the spectra of a Cantor measure
- Probability and Fourier duality for affine iterated function systems
- Dense analytic subspaces in fractal \(L^2\)-spaces
- Piecewise linear wavelets on Sierpinski gasket type fractals
- The Fuglede spectral conjecture holds for convex planar domains
- Mock Fourier series and transforms associated with certain Cantor measures
- Spectra of Bernoulli convolutions and random convolutions
- Commuting self-adjoint partial differential operators and a group theoretic problem
- On spectral Cantor measures
- The uniformity of non-uniform Gabor bases
- Fuglede's conjecture is false in 5 and higher dimensions
- Spectrality of generalized Sierpinski-type self-affine measures
- Spectral property of the planar self-affine measures with three-element digit sets
- On self-similar spectral measures
- Spectrality of one dimensional self-similar measures with consecutive digits
- On the spectra of self-affine measures with three digits
- Fuglede's conjecture holds in \(\mathbb{Q}_p\)
- Sierpinski-type spectral self-similar measures
- Uniformity of measures with Fourier frames
- On spectral \({N}\)-Bernoulli measures
- Spectrality of a class of infinite convolutions
- Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\)
- Fuglede’s conjecture for a union of two intervals
- Spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- “Spectral implies Tiling” for three intervals revisited
- Hadamard triples generate self-affine spectral measures
- Fourier frames for singular measures and pure type phenomena
- Fourier series on fractals: a parallel with wavelet theory
- Spectrality of a Class of Moran Measures
- Fuglede’s conjecture fails in dimension 4
- Tiles with no spectra
- Spectral property of self-affine measures on \(\mathbb{R}^n\)
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