论文标题
对单模型amenable组的相干框架过度的效果
Overcompleteness of coherent frames for unimodular amenable groups
论文作者
论文摘要
本文涉及单型染色组的相干框架的过度复杂性。结果表明,对于与局部矢量相关的相干帧,可以删除一组正的beurling密度,但仍留下框架。获得的结果扩展了[J.的各种定理。傅立叶肛门。 Appl。,12(3):307-344,2006],用于具有非亚洲索引集的框架。
This paper concerns the overcompleteness of coherent frames for unimodular amenable groups. It is shown that for coherent frames associated with a localized vector a set of positive Beurling density can be removed yet still leave a frame. The obtained results extend various theorems of [J. Fourier Anal. Appl., 12(3):307-344, 2006] to frames with non-Abelian index sets.