The spectral eigenmatrix problems of planar self-affine measures with four digits
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Publication:6096882
DOI10.1017/s0013091523000469MaRDI QIDQ6096882
Sha Wu, Jing-Cheng Liu, Min-wei Tang
Publication date: 15 September 2023
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
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)
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Cites Work
- Unnamed Item
- On the spectra of Sierpinski-type self-affine measures
- Spectra of Cantor measures
- Spectral self-affine measures on the planar Sierpinski family
- When does a Bernoulli convolution admit a spectrum?
- A class of spectral Moran measures
- Spectrality of the planar Sierpinski family
- Non-spectral problem for the planar self-affine measures
- Number theory problems from the harmonic analysis of a fractal
- Wavelets on fractals
- Analysis of orthogonality and of orbits in affine iterated function systems
- Fourier frequencies in affine iterated function systems
- Spectrality of self-similar tiles
- Probability and Fourier duality for affine iterated function systems
- Dense analytic subspaces in fractal \(L^2\)-spaces
- 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
- Wavelets, tiling, and spectral sets
- On spectral Cantor measures
- The uniformity of non-uniform Gabor bases
- Fuglede's conjecture is false in 5 and higher dimensions
- Self-similarity in harmonic analysis
- Exponential spectra in \(L^2(\mu)\)
- The cardinality of \(\mu_{M,D}\)-orthogonal exponentials for the planar four digits
- On spectral eigenvalue problem of a class of self-similar spectral measures with consecutive digits
- Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures
- Sierpinski-type spectral self-similar measures
- Affine systems: asymptotics at infinity for fractal measures
- On spectral \({N}\)-Bernoulli measures
- Convergence of mock Fourier series
- Necessary density conditions for sampling an interpolation of certain entire functions
- Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\)
- Fourier duality for fractal measures with affine scales
- Spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- Hadamard triples generate self-affine spectral measures
- Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets
- On spectra and spectral eigenmatrix problems of the planar Sierpinski measures
- NON-SPECTRALITY OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR-ELEMENT DIGIT SETS
- ORTHOGONAL EXPONENTIAL FUNCTIONS OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR DIGITS
- Divergence of the mock and scrambled Fourier series on fractal measures
- Analysis of μM, D‐orthogonal exponentials for the planar four‐element digit sets
- Tiles with no spectra
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