The Fourier transform of multiradial functions

Frederic Bernicot, Loukas Grafakos, Yandan Zhang

We obtain an exact formula for the Fourier transform of multiradial functions, i.e., functions of the form $\Phi (x)=\varphi (|x_1|,\dots ,|x_m|)$, $x_i\in {\mathbf{R}}^{n_i}$, in terms of the…