Integral self-affine tiles in ℝn part II: Lattice tilings

被引：0
|
作者：
Jeffrey C. Lagarias
Yang Wang
机构：
[1] AT&T Labs-Research,School of Mathematics
[2] Georgia Institute of Technology,undefined
来源：
Journal of Fourier Analysis and Applications | 1997年 / 3卷
关键词：
52C22; 42B99; digit set; self-affine tile; lattice tiling; quasi-product form; wavelet;
D O I：
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学科分类号：
摘要：
Let A be an expanding n×n integer matrix with |det(A)|=m. Astandard digit set D for A is any complete set of coset representatives forℤn/A(ℤn). Associated to a given D is a setT (A, D), which is the attractor of an affine iterated function system, satisfyingT=∪d∈D(T+d). It is known thatT (A, D) tilesℝn by some subset ofℤn. This paper proves that every standard digit set D gives a setT (A, D) that tilesℝn with a lattice tiling.
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页码：83 / 102
页数：19
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