Spectrality of generalized Sierpinski-type self-affine measures
From MaRDI portal
Publication:1979917
DOI10.1016/j.acha.2021.05.001zbMath1472.28007arXiv2010.14724OpenAlexW3160582936MaRDI QIDQ1979917
Publication date: 3 September 2021
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14724
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) Hausdorff and packing measures (28A78)
Related Items (11)
Spectrality of self-similar measures with product-form digits ⋮ Some results on planar self-affine measures with collinear digit sets ⋮ Tiling and spectrality for generalized Sierpinski self-affine sets ⋮ Spectrality of Moran-Sierpinski type measures ⋮ Spectral eigenmatrix of the planar spectral measures with four elements ⋮ Fourier bases of a class of planar self-affine measures ⋮ On the spectra of a class of Moran measures ⋮ Fourier bases of the planar self‐affine measures with three digits ⋮ Spectrality of Moran-type Bernoulli convolutions ⋮ Spectrality of a class of self-affine measures on R2 * ⋮ Non-spectrality of Moran measures with four digits
Cites Work
- Unnamed Item
- On the spectra of Sierpinski-type self-affine measures
- 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
- Spectrality of the planar Sierpinski family
- Non-spectral problem for the planar self-affine measures
- Lacunary measures and self-similar probability measures in function spaces
- Complex Hadamard matrices and the spectral set conjecture
- 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
- Spectral property of the Bernoulli convolutions
- Non-spectral problem for a class of planar self-affine measures
- Wavelets for iterated function systems
- Probability and Fourier duality for affine iterated function systems
- Dense analytic subspaces in fractal \(L^2\)-spaces
- A version of the uncertainty principle for functions with lacunary Fourier transforms.
- The Fuglede spectral conjecture holds for convex planar domains
- 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 \(L^2(\mu)\)
- 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
- Convergence of mock Fourier series
- Spectrality of a class of infinite convolutions
- A necessary and sufficient condition for the finite \(\mu_{M,D}\)-orthogonality
- 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
- Sampling Theory for Functions with Fractal Spectrum
- “Spectral implies Tiling” for three intervals revisited
- Iterated function systems, Ruelle operators, and invariant projective measures
- Exponential frames on unbounded sets
- Hadamard triples generate self-affine spectral measures
- Tiles with no spectra
- Spectral property of self-affine measures on \(\mathbb{R}^n\)
This page was built for publication: Spectrality of generalized Sierpinski-type self-affine measures