Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
复制标题
平移有界测度动力系统：纯点动力和衍射谱
DOI：
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发表时间：
2003
影响因子：
0.9
通讯作者：
D. Lenz
中科院分区：
文献类型：
--
作者：
M. Baake;D. Lenz
某些拓扑动力系统所产生的行动$\sigma$-紧局部紧阿贝尔群的紧空间的平移有界测度。证明了这样的测度动力系统具有纯点动力学谱当且仅当它的衍射谱是纯点的。
Certain topological dynamical systems that arise from actions of $\sigma$-compact locally compact Abelian groups on compact spaces of translation bounded measures are considered. Such a measure dynamical system is shown to have a pure point dynamical spectrum if and only if its diffraction spectrum is pure point.