Three-way tiling sets in two dimensions

DOI10.1007/s10440-008-9424-yzbMath1222.42035arXiv0710.3520OpenAlexW2090818068MaRDI QIDQ844248

David R. Larson, Peter R. Massopust, Gestur Olafsson

Publication date: 18 January 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3520

zbMATH Keywords

tilingaffine Weyl groupformidable figurefull range lattice

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Numerical methods for wavelets (65T60) Fractals (28A80) Reflection groups, reflection geometries (51F15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

• Spectral sets and factorizations of finite abelian groups
• Wavelet sets in \(\mathbb{R}^ n\)
• Commuting self-adjoint partial differential operators and a group theoretic problem
• Wavelets, tiling, and spectral sets
• Fuglede's conjecture is false in 5 and higher dimensions
• Convex bodies with a point of curvature do not have Fourier bases
• Coxeter Groups, Wavelets, Multiresolution and Sampling
• Coxeter Groups and Wavelet Sets
• Wandering vectors for unitary systems and orthogonal wavelets
• Orthogonal harmonic analysis of fractal measures
• Generalized Chebyshev Polynomials Associated with Affine Weyl Groups
• Wavelet sets without groups
• Tiles with no spectra
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