The Dirichlet ring and unconditional bases in L2[0, 2π]

被引：0
|
作者：
Artur Sowa
机构：
[1] University of Saskatchewan,Department of Mathematics and Statistics
来源：
Functional Analysis and Its Applications | 2013年 / 47卷
关键词：
unconditional basis; Riesz basis; fast transform; Dirichlet series;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is observed that the Dirichlet ring admits a representation in an infinite-dimensional matrix algebra. The resulting matrices are subsequently used in the construction of nonorthogonal Riesz bases in a separable Hilbert space. This framework enables custom design of a plethora of bases with interesting features. Remarkably, the representation of signals in any one of these bases is numerically implementable via fast algorithms.
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页码：227 / 232
页数：5
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