Characterization of tile digit sets with prime determinants
type: Item
instance of: scholarly article
title: Characterization of tile digit sets with prime determinants
zbMATH Open document ID: 1065.52014
author: Xing-Gang He
author: Ka-Sing Lau
published in: Applied and Computational Harmonic Analysis
publication date: 2004-08-06T00:00:00Z
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 52C22
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 2081613
zbMATH Keywords: Digit set
zbMATH Keywords: Prime
zbMATH Keywords: Refinement equation
zbMATH Keywords: Root of unity
zbMATH Keywords: Scaling function
zbMATH Keywords: Self-affine tile
zbMATH Keywords: Tile digit set
MaRDI profile type: Publication
full work available at URL: j.acha.2004.03.001
OpenAlex ID: W2016317887
cites work: Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
cites work: Disk-like self-affine tiles in \(\mathbb{R}^2\)
cites work: Recurrent sets
cites work: Self-similar lattice tilings
cites work: Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
cites work: Self-affine sets and graph-directed systems
cites work: Multivariate matrix refinable functions with arbitrary matrix dilation
cites work: Convergence of Subdivision Schemes Associated with Nonnegative Masks
cites work: Q4037009
cites work: On the Connectedness of Self-Affine Tiles
cites work: Classification of integral expanding matrices and self-affine tiles
cites work: Expanding polynomials and connectedness of self-affine tiles
cites work: Self-affine tiles in \(\mathbb{R}^n\)
cites work: Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
cites work: Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory
cites work: Iterated Function Systems with Overlaps and Self-Similar Measures
cites work: On one-dimensional self-similar tilings and $pq$-tiles
cites work: A Complete Solution Characterizing Smooth Refinable Functions
cites work: Nombres algébriques et substitutions
cites work: Wavelets and self-affine tilings
cites work: Q4270481
cites work: Digit tiling of Euclidean space
cites work: Subdivision schemes and refinement equations with nonnegative masks
DOI: 10.1016/J.ACHA.2004.03.001
description: scientific article; zbMATH DE number 2081613