I'm trying to solve the equation


$(1-|x|^2)T = 0$,
where $T$ is a tempered distribution. I know how to do this (it is a common exercise) in dimension $1$. How can I solve it in higher dimensions?


Thank you very much.



Division of distributions by polynomials.
The solution is the direct product of $\delta(|x|-1)$ and any distribution on the sphere.


