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.

引用

页码：227 / 232

页数：5

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