(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that [tex]\delta(at)=\frac{1}{abs(a)}\delta(t)[/tex]

Hint: Show that [tex]\int\phi(t)\delta(at)dt=\frac{1}{abs(a)}\phi(0)[/tex]

(the limits of integration are from -inf to +inf btw, I couldn't find how to put them in..)

2. Relevant equations

3. The attempt at a solution

Ok. I understand that the integral is only defined for at = 0, i.e., t = 0. But if I follow this logical then I evaluate the integral to be phi(0), not phi(0)/a. Where does the a come from?

And I'm not entirely sure how proving that relationship helps with the proof of the scaling function...

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# Homework Help: Proving the scaling property of the Delta function

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