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Mar 20, 2020 at 17:18 comment added Bazin Well, the extension of an homogenous functions on $\mathbb R^n\backslash\{0\}$ to an homogeneous distribution on $\mathbb R^n$ could be impossible for integer indices $\le -n$.
Mar 13, 2020 at 1:57 comment added Tau " $𝑢$ is homogeneous of degree $-n+i\tau$" indicates that $u$ is a tempered distributions, so fourier transform is meaningful.
Mar 12, 2020 at 23:10 comment added Bazin The meaning of $\hat u$ is not clear, take for instance $u(x)=1/\vert x\vert$ and see the constraints in my answer above.
Mar 12, 2020 at 14:37 history answered Tau CC BY-SA 4.0