Fourier bases of the planar self‐affine measures with three digits
From MaRDI portal
Publication:6144856
DOI10.1002/mana.202200299OpenAlexW4379883006MaRDI QIDQ6144856
Yong-Hua Yao, Jing-Cheng Liu, Ming-Liang Chen
Publication date: 8 January 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.202200299
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)
Cites Work
- Unnamed Item
- Spectral self-affine measures on the planar Sierpinski family
- Spectrality of the planar Sierpinski family
- Non-spectral problem for the planar self-affine measures
- Complex Hadamard matrices and the spectral set conjecture
- Analysis of orthogonality and of orbits in affine iterated function systems
- 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
- 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
- Exponential spectra in \(L^2(\mu)\)
- Spectrality of generalized Sierpinski-type self-affine measures
- Spectrality of Sierpinski-type self-affine measures
- The Fuglede conjecture for convex domains is true in all dimensions
- On self-similar spectral measures
- Spectrality of one dimensional self-similar measures with consecutive digits
- On the orthogonal exponential functions of a class of planar self-affine measures
- Fuglede's conjecture holds in \(\mathbb{Q}_p\)
- Sierpinski-type spectral self-similar measures
- Gabor orthonormal bases generated by the unit cubes
- Uniformity of measures with Fourier frames
- On spectral \({N}\)-Bernoulli measures
- Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\)
- Constructing a Laplacian on the Diamond Fractal
- Spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- Proximality in Pisot tiling spaces
- 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 self-affine measures on R2 *
- Divergence of the mock and scrambled Fourier series on fractal measures
- Tiles with no spectra
- Spectral property of self-affine measures on \(\mathbb{R}^n\)
This page was built for publication: Fourier bases of the planar self‐affine measures with three digits