Fourier transform of a class of radial and semi-radial functions
Résumé
We give here the key to reduce the problem of computing a three dimensional Fourier transform-for a certain class of functions-to a one dimensional Fourier transform computation, allowing in some way to "reverse" the main theorem of [1], in this particular case. This class of functions being of the form t → R(cos(t , sin(t) t m P (t) ∈ L 1 loc (R 3), where R ∈ C[X, Y ] and P ∈ C[X, Y, Z]
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