I'm trying to solve the equation
$(1x^2)T = 0$, 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.
I'm trying to solve the equation $(1x^2)T = 0$, 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. 


The solution is the direct product of $\delta(x1)$ and any distribution on the sphere. 

