Title

Partial ordering that generates filtered Walsh series

School/Department

School of Science Technology and Health

Publication Date

7-2013

Abstract

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.

Keywords

Walsh–Fourier series; Walsh function; Rademacher function

Publication Title

Acta Mathematica Hungarica volume

Issue

140

First Page

162

Last Page

168

DOI of Published Version

10.1007/s10474-012-0286-4

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