## A didactic note on classic function spaces and the Fourier transform.(English)Zbl 1419.42003

Summary: 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.

### MSC:

 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 97C70 Teaching-learning processes in mathematics education

### Keywords:

didactic for University; Fourier transform; function spaces
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