A partial ordering that generates filtered Walsh series

作者：Powell C; Wade W R^*

来源：Acta Mathematica Hungarica, 2013, 140(1-2): 162-168.

DOI：10.1007/s10474-012-0286-4

• Walsh series
• Walsh function
• filtered Walsh-Fourier series
• modified Walsh-Dirichlet kernel
• Rademacher function

The second author recently introduced modified Walsh-Dirichlet kernels which generated filtered Walsh-Fourier series. The purpose of this article is to show that those filtered Walsh series can be generated by a partial ordering on the natural numbers which may be of interest in its own right.

• 出版日期2013-7