Spectrality of a class of self-affine measures and related digit sets
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Publication:2043920
DOI10.1007/s00013-021-01608-xzbMath1472.28013OpenAlexW3157716998MaRDI QIDQ2043920
Publication date: 4 August 2021
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-021-01608-x
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)
Cites Work
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- A class of spectral self-affine measures with four-element digit sets
- Orthogonal exponentials, translations, and Bohr completions
- Number theory problems from the harmonic analysis of a fractal
- Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs
- \(\mu _{m,d}\)-orthogonality and compatible pair
- Fourier frequencies in affine iterated function systems
- 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
- 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
- Spectral self-affine measures with prime determinant
- Discrete Fourier analysis with lattices on planar domains
- Affine systems: asymptotics at infinity for fractal measures
- Sufficient conditions for the spectrality of self-affine measures with prime determinant
- Exponential frames on unbounded sets
- Hadamard triples generate self-affine spectral measures
- Fourier series on fractals: a parallel with wavelet theory
- Spectrality of digit sets and spectral self-affine measures
- Fuglede’s conjecture fails in dimension 4
- Multiple lattice tiles and Riesz bases of exponentials
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