Almost Periodic Pure Point Measures
Almost Periodic Pure Point Measures
复制标题
几乎周期性的纯点测量
DOI：
10.1017/9781139033862.007
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Nicolae Strungaru
中科院分区：
文献类型：
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作者：
Nicolae Strungaru
在第一部分中，我们从一组验证四个条件的集合中构造一个剪切和投影方案。我们使用这种结构来表征由切割和投影方案以及内部群上几乎周期性的连续函数定义的加权狄拉克梳。我们还能够表征那些内部函数得到紧凑支持的加权狄拉克梳。最后，对双集使用相同的切割和项目构造，我们能够表征紧局部紧阿贝尔群中的迈耶集。
In the first part, we construct a cut and project scheme from a familyof sets verifying four conditions. We use this construction to characterize weighted Dirac combs defined by cut and project schemes and by continuous functions on the internal groups in terms of almost periodicity. We are also able to characterise those weighted Dirac combs for which the internal function is compactly supported. Lastly, using the same cut and project construction for-dual sets, we are able to characterise Meyer sets in-compact locally compact Abelian groups.