A Didactic Note on Classic Function Spaces and the Fourier Transform

Sandra Lucente

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

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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

Keywords: Didactic for University , Fourier transform , function spaces

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