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2019 A Didactic Note on Classic Function Spaces and the Fourier Transform
Sandra Lucente
Real Anal. Exchange 44(1): 229-246 (2019). DOI: 10.14321/realanalexch.44.1.0229

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.

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Sandra Lucente. "A Didactic Note on Classic Function Spaces and the Fourier Transform." Real Anal. Exchange 44 (1) 229 - 246, 2019. https://doi.org/10.14321/realanalexch.44.1.0229

Information

Published: 2019
First available in Project Euclid: 27 June 2019

zbMATH: 07088973
MathSciNet: MR3951344
Digital Object Identifier: 10.14321/realanalexch.44.1.0229

Subjects:
Primary: 42A38, 97C70

Rights: Copyright © 2019 Michigan State University Press

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Vol.44 • No. 1 • 2019
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