The Walsh–Fourier Transform on the Real Line

G. Gát; U. Goginava

doi:10.3103/S1068362322040057

The Walsh–Fourier Transform on the Real Line

G. Gát, U. Goginava

United Arab Emirates University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	205-214
Number of pages	10
Journal	Journal of Contemporary Mathematical Analysis
Volume	57
Issue number	4
DOIs	https://doi.org/10.3103/S1068362322040057
Publication status	Published - Aug 2022

Keywords

inverse transform
Walsh–Fourier transform

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S1068362322040057

Cite this

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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.",

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AB - 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.

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The Walsh–Fourier Transform on the Real Line

Abstract

Keywords

ASJC Scopus subject areas

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