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Preprints, Working Papers, ... Year : 2020

Fourier transform of a class of radial and semi-radial functions

Abstract

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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Dates and versions

hal-02494837 , version 1 (29-02-2020)

Identifiers

  • HAL Id : hal-02494837 , version 1

Cite

Victor Rabiet. Fourier transform of a class of radial and semi-radial functions. 2020. ⟨hal-02494837⟩
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