The Walsh–Fourier Transform on the Real Line

G. Gát, U. Goginava

Research output: Contribution to journalArticlepeer-review

Abstract

Abstract: The element of the Walsh system, that is the Walsh functions map from the unit interval to the set (Formula presented.). They can be extended to the set of nonnegative reals, but not to the whole real line. The aim of this article is to give a Walsh-like orthonormal and complete function system which can be extended on the real line.

Original languageEnglish
Pages (from-to)205-214
Number of pages10
JournalJournal of Contemporary Mathematical Analysis
Volume57
Issue number4
DOIs
Publication statusPublished - Aug 2022

Keywords

  • inverse transform
  • Walsh–Fourier transform

ASJC Scopus subject areas

  • Analysis
  • Control and Optimization
  • Applied Mathematics

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