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

Thread starter atrahasis
Start date Aug 24, 2011
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Delta Delta function Function Product

Aug 24, 2011

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.

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Aug 24, 2011

atrahasis

Ok, finally I have it.

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

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