The spectrality of self-affine measure under the similar transformation of \(GL_n(p)\)
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Publication:6142374
DOI10.1007/s00365-023-09621-9arXiv2008.07047MaRDI QIDQ6142374
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Publication date: 21 December 2023
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07047
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 (2)
Tiling and spectrality for generalized Sierpinski self-affine sets ⋮ Fourier bases of a class of planar self-affine measures
Cites Work
- Unnamed Item
- Unnamed Item
- On the spectra of Sierpinski-type self-affine measures
- 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-spectrality of self-affine measures on the spatial Sierpinski gasket
- Spectral measures generated by arbitrary and random convolutions
- Non-spectral problem for the planar self-affine measures
- Spectra of a class of self-affine measures
- Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers
- 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
- Non-spectral problem for a class of planar self-affine measures
- On the spectra of a Cantor measure
- Dense analytic subspaces in fractal \(L^2\)-spaces
- Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces by P. E. T. Jorgensen and S. Pedersen
- Spectral sets and factorizations of finite abelian groups
- Mock Fourier series and transforms associated with certain Cantor measures
- Non-spectral fractal measures with Fourier frames
- Translational absolute continuity and Fourier frames on a sum of singular measures
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Wavelets, tiling, and spectral sets
- On spectral Cantor measures
- Fuglede's conjecture is false in 5 and higher dimensions
- Harmonic analysis of fractal measures
- The Fuglede conjecture for convex domains is true in all dimensions
- Spectrality of one dimensional self-similar measures with consecutive digits
- Sierpinski-type spectral self-similar measures
- On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem
- 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 measures on the three-dimensional Sierpinski gasket
- Hadamard triples generate self-affine spectral measures
- Divergence of the mock and scrambled Fourier series on fractal measures
- Tiles with no spectra
- Spectral property of self-affine measures on \(\mathbb{R}^n\)
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