μM,D-Orthogonality and compatible pair
μM,D-Orthogonality and compatible pair
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DOI：
10.1016/j.jfa.2006.10.003
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发表时间：
2007-03
影响因子：
1.7
通讯作者：
Jian-Lin Li
中科院分区：
文献类型：
--
作者：
Jian-Lin Li
设μM，D是一个扩张整数矩阵M∈Mn（Z）和有限子集D ∈ Zn的自仿射测度.本文研究了μM，D-正交性和相容对条件以及它们之间的关系。本文的研究是基于单位根的消失和的结构，与谱自仿射测度问题密切相关。
Let μM,Dbe a self-affine measure associated with an expanding integer matrix M∈Mn(Z) and a finite subset D⊂Zn. In the present paper we study the μM,D-orthogonality and compatible pair conditions as well as relations between them. The research here is based on the structure of vanishing sums of roots of unity, and is closely related to the problem of spectral self-affine measure.