论文标题
Riesz的指数基础和Bohr拓扑
Riesz bases of exponentials and the Bohr topology
论文作者
论文摘要
我们提供了必要和足够的条件,以确保一个$ r^d $的$ r^d $的正值(但不一定是有限)的结构化riesz的基础,该指数为$ l^{2}(ω)$。给出了新的例子,并将这种特征推广到抽象的局部紧凑型阿贝尔群体。
We provide a necessary and sufficient condition to ensure that a multi-tile $Ω$ of $R^d$ of positive measure (but not necessarily bounded) admits a structured Riesz basis of exponentials for $ L^{2}(Ω)$. New examples are given and this characterization is generalized to abstract locally compact abelian groups.