Lattice-tiling properties of integral self-affine functions

DOI10.1016/S0893-9659(97)00073-6zbMath0893.52016MaRDI QIDQ1376769

Mihail N. Kolountzakis

Publication date: 21 January 1998

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

integral self-affine functionlattice-tiling

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (1)

Perfect codes in Euclidean lattices

Cites Work

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• Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
• Lattice tilings by cubes: Whole, notched and extended
• Structure of tilings of the line by a function
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Integral Self-Affine Tiles in ℝ ⁿ I. Standard and Nonstandard Digit Sets

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