How do I correctly compute the convolution of two delta functions? For example, if I want to compute ##\delta(\omega)\otimes\delta(\omega)##, I should integrate $$\int_{-\infty}^\infty \delta(\omega-\Omega)\delta(\Omega) d\Omega$$(adsbygoogle = window.adsbygoogle || []).push({});

This integrand "fires" at two places: ##\Omega = 0## and ##\Omega = \omega##, and evaluates to ##\delta(\omega)## in either case. That leads me to say that ##\delta(\omega)\otimes\delta(\omega) = 2\delta(\omega)##, which somehow feels wrong... I want it to be just ##\delta(\omega)##.

Anyone know the correct treatment here?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How to correctly convolve two delta functions?

**Physics Forums | Science Articles, Homework Help, Discussion**