局部紧Abel群上测度动力系统的纯点谱
Pure Point spectrum for measure dynamical systems on locally compact Abelian groups
摘要：
证明了由局部紧阿贝尔群上的局部有限测度建立的可测动力系统的纯点衍射与纯点动力谱的等价性。这推广了这类的所有早期结果。我们的方法是基于几乎周期性的希尔伯特空间的研究。它允许我们建立一个任意等变可测扰动的扰动理论。
英文摘要：
We show equivalence of pure point diffraction and pure point dynamical spectrum for measurable dynamical systems build from locally finite measures on locally compact Abelian groups. This generalizes all earlier results of this type. Our approach is based on a study of almost periodicity in a Hilbert space. It allows us to set up a perturbation theory for arbitrary equivariant measurable perturbations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
