Spectrality of Sierpinski-type self-affine measures
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Publication:2054289
DOI10.1016/j.jfa.2021.109310zbMath1485.28016OpenAlexW3214154332MaRDI QIDQ2054289
Zhengyi Lu, Xin-Han Dong, Zong-Sheng Liu
Publication date: 1 December 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109310
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 (5)
Spectrality and non-spectrality of some Moran measures in \(\mathbb{R}^3\) ⋮ Spectrality of Moran-Sierpinski type measures ⋮ Fourier bases of the planar self‐affine measures with three digits ⋮ On the intermediate value property of spectra for a class of Moran spectral measures ⋮ Beurling dimension of a class of spectra of the Sierpinski-type spectral measures
Cites Work
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- Spectra of Cantor measures
- Spectral property of Cantor measures with consecutive digits
- When does a Bernoulli convolution admit a spectrum?
- Mean value properties of harmonic functions on Sierpinski gasket type fractals
- On hyperbolic graphs induced by iterated function systems
- Non-spectral problem for the planar self-affine measures
- Analysis of orthogonality and of orbits in affine iterated function systems
- Spectrality of self-similar tiles
- Spectral property of the Bernoulli convolutions
- Non-spectral problem for a class of planar self-affine measures
- Brownian motion on the Sierpinski gasket
- 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
- Spectrality of certain Moran measures with three-element digit sets
- Commuting self-adjoint partial differential operators and a group theoretic problem
- On spectral Cantor measures
- Fuglede's conjecture is false in 5 and higher dimensions
- Spectrality of a class of Moran measures
- Spectral properties of certain Moran measures with consecutive and collinear digit sets
- On the spectra of a class of self-affine measures on \(\mathbb{R}^2\)
- Spectrality of one dimensional self-similar measures with consecutive digits
- Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- On the orthogonal exponential functions of a class of planar self-affine measures
- The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator
- Denker-Sato type Markov chains on self-similar sets
- Sierpinski-type spectral self-similar measures
- On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem
- A characterization on the spectra of self-affine measures
- On spectral \({N}\)-Bernoulli measures
- Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
- Convergence of mock Fourier series
- On convergence and growth of partial sums of Fourier series
- Pointwise convergence of Fourier series. I: On a conjecture of Konyagin
- Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\)
- Spectrality of a class of planar self-affine measures with three-element digit sets
- A harmonic calculus on the Sierpinski spaces
- Hadamard triples generate self-affine spectral measures
- SPECTRAL PROPERTY OF CERTAIN MORAN MEASURES WITH THREE-ELEMENT DIGIT SETS
- Non-spectral Problem for Some Self-similar Measures
- Spectrality of Moran measures with finite arithmetic digit sets
- Partial differential equations on products of Sierpinski gaskets
- Divergence of the mock and scrambled Fourier series on fractal measures
- Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel
- Tiles with no spectra
- Sierpiński gasket as a Martin boundary. I: Martin kernels
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