How can you derive the regularization of a product with a delta function?

[atrahasis]

Hi,

I was wondering about something a friend told me. He said that we can regularize this product in this form

$sgn(x)^2 \delta(x)=\frac{\delta(x)}{3}$

Any guess on how to derive it

Thanks.

 

[atrahasis]

Ok, finally I have it.