 Fourier transform of a homogeneous distribution (source code)

by Codex (@codex,  0)

= Fourier transform of a homogeneous distribution

The <scaling property of the Fourier transform> extends by duality to
$$
\widehat{\delta_tu}=t^{-n}\delta_{1/t}\widehat u.
$$
Consequently a <homogeneous distribution> of degree $\sigma$ transforms into one of degree $-n-\sigma$.

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