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- W2123194815 abstract "We find a formula that relates the Fourier transform of a radial function on $mathbf{R}^n$ with the Fourier transform of the same function defined on $mathbf{R}^{n+2}$. This formula enables one to explicitly calculate the Fourier transform of any radial function $f(r)$ in any dimension, provided one knows the Fourier transform of the one-dimensional function $tto f(|t|)$ and the two-dimensional function $(x_1,x_2)to f(|(x_1,x_2)|)$. We prove analogous results for radial tempered distributions." @default.
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- W2123194815 date "2012-08-25" @default.
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- W2123194815 title "On Fourier Transforms of Radial Functions and Distributions" @default.
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- W2123194815 doi "https://doi.org/10.1007/s00041-012-9242-5" @default.
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