On characterizations of spectra and tilings
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Publication:1882970
DOI10.1016/j.jfa.2004.04.007zbMath1106.42032OpenAlexW2019993925MaRDI QIDQ1882970
Publication date: 1 October 2004
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2004.04.007
Lattice packing and covering (number-theoretic aspects) (11H31) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Nontrigonometric harmonic analysis (42C99)
Related Items (14)
Spectral sets and tiles on vector space over local fields ⋮ On characterizations of Fourier frames and tilings ⋮ On a criterion of universal spectra ⋮ Spectrum is periodic for \(n\)-intervals ⋮ Spectrality of self-affine measures and generalized compatible pairs ⋮ Distance sets relating to orthogonal exponentials ⋮ Analysis of a class of spectral pair conditions ⋮ Orthogonal exponentials on the generalized three-dimensional Sierpinski gasket ⋮ Orthogonal exponentials on the generalized plane Sierpinski gasket ⋮ Non-spectral problem for a class of planar self-affine measures ⋮ Non-spectral self-affine measure problem on the plane domain ⋮ Duality properties between spectra and tilings ⋮ Analysis of \(\mu_{R,D}\)-orthogonality in affine iterated function systems ⋮ Gabor orthonormal bases generated by the unit cubes
Cites Work
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- On translating one polyomino to tile the plane
- Spectral theory for Borel sets in \(\mathbb{R}{}^ n\) of finite measure
- Isohedral polyomino tiling of the plane
- Spectral pairs in Cartesian coordinates
- Spectral sets and factorizations of finite abelian groups
- Orthonormal bases of exponentials for the \(n\)-cube
- Fourier bases and a distance problem of Erdős
- Non-symmetric convex domains have no basis of exponentials
- Spectral sets whose spectrum is a lattice with a base
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Necessary density conditions for sampling an interpolation of certain entire functions
- Über lückenlose Ausfüllung des \(n\)-dimensionalen Raumes durch kongruente Würfel
- Fuglede’s conjecture for a union of two intervals
- Convex bodies with a point of curvature do not have Fourier bases
- THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS
- Packing, Tiling, Orthogonality and Completeness
- Universal spectra and Tijdeman's conjecture on factorization of cyclic groups
- Orthogonal exponentials on the ball
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