Packing near the tiling density and exponential bases for product domains

zbMath1425.52017arXiv1606.02452MaRDI QIDQ4972035

Mihail N. Kolountzakis

Publication date: 22 November 2019

Full work available at URL: https://arxiv.org/abs/1606.02452

zbMATH Keywords

tilingsspectral setsFuglede's conjecturedensity of packings

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Spectral sets of linear operators (47A25) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (3)

Spectrality of product domains and Fuglede's conjecture for convex polytopes ⋮ Spectral sets and weak tiling ⋮ Tiling and spectrality for generalized Sierpinski self-affine sets

Cites Work

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• 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
• Tiles with no spectra in dimension 4
• Fuglede’s conjecture fails in dimension 4
• Tiles with no spectra

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