Sufficient conditions for the spectrality of self-affine measures with prime determinant
Sufficient conditions for the spectrality of self-affine measures with prime determinant
复制标题
具有素行列式的自仿射测度谱的充分条件
DOI：
10.4064/sm220-1-4
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发表时间：
2014-01-01
影响因子：
0.8
通讯作者：
Li, Jian-Lin
中科院分区：
文献类型：
--
作者：
Li, Jian-Lin
Let mu(M,D) be a self-affine measure associated with an expanding matrix M and a finite digit set D. We study the spectrality of mu(M,D) when vertical bar det(M)vertical bar = vertical bar D vertical bar = p is a prime. We obtain several new sufficient conditions on M and D for mu(M,D) to be a spectral measure with lattice spectrum. As an application, we present some properties of the digit sets of integral self-affine tiles, which are connected with a conjecture of Lagarias and Wang.
