1. Introduction. In recent studies, it has turned out that there are interesting relations between self-similar lattice tiling and the construction of wavelets, see e.g. [8]. Let M be an expanding scaling matrix, i.e., M has integer entries and all its eigenvalues have modulus strictly larger than one. Then a set Q c 1R" gives rise to a self-similar tiling with respect to M if it satisfies.
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机译：1.简介。在最近的研究中，事实证明自相似的格子平铺和小波的构造之间存在有趣的关系，参见例如，E.G.Sci.Chem。，1997，2，3，4，5，6，5，6，7，6，7，6，7，7，12，13。 [8]。令M为扩展的缩放矩阵，即M具有整数项，并且其所有特征值均具有严格大于1的模量。如果满足，则集合Q c 1R“引起关于M的自相似平铺。
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