Real Analysis Exchange

A Didactic Note on Classic Function Spaces and the Fourier Transform

Sandra Lucente

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In the present paper we recall the main points of the Fourier Transform developments, in particular the historical origin of the inversion formula. Hence we construct explicit examples of functions in different zones of the range of the Fourier transform in \(L^1\). These can be used as exercises in a basic course of signal processing or harmonic analysis.

Article information

Source
Real Anal. Exchange, Volume 44, Number 1 (2019), 229-246.

Dates
First available in Project Euclid: 27 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.rae/1561622442

Digital Object Identifier
doi:10.14321/realanalexch.44.1.0229

Mathematical Reviews number (MathSciNet)
MR3951344

Zentralblatt MATH identifier
07088973

Subjects
Primary: 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 97C70: Teaching-learning processes

Keywords
Didactic for University Fourier Transform Function spaces

Citation

Lucente, Sandra. A Didactic Note on Classic Function Spaces and the Fourier Transform. Real Anal. Exchange 44 (2019), no. 1, 229--246. doi:10.14321/realanalexch.44.1.0229. https://projecteuclid.org/euclid.rae/1561622442


Export citation