Spectra for cubes in products of finite cyclic groups

DOI10.1090/proc/14017zbMath1388.52015arXiv1602.03165OpenAlexW2963064306MaRDI QIDQ4609825

Sigrid Grepstad, Mihail N. Kolountzakis, Elona Agora

Publication date: 26 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03165

zbMATH Keywords

spectral propertiestilingfinite cyclic groups

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Unnamed Item
• The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\)
• Complex Hadamard matrices and the spectral set conjecture
• On Fuglede's conjecture and the existence of universal spectra
• Spectral pairs in Cartesian coordinates
• The Fuglede spectral conjecture holds for convex planar domains
• Orthonormal bases of exponentials for the \(n\)-cube
• Commuting self-adjoint partial differential operators and a group theoretic problem
• A cube tiling of dimension eight with no facesharing
• Fuglede's conjecture is false in 5 and higher dimensions
• Fuglede’s conjecture for a union of two intervals
• Keller’s cube-tiling conjecture is false in high dimensions
• Packing, Tiling, Orthogonality and Completeness
• Tiles with no spectra in dimension 4
• Fuglede’s conjecture fails in dimension 4
• Tiles with no spectra

This page was built for publication: Spectra for cubes in products of finite cyclic groups