Let $f,g,h \in D'(R^n)$. How we define the convolution of these functions? I'm trying to show some properties of convolutions such as
$\delta\ast f=f$
$(f\ast g)' = f'\ast g=f\ast g'$
$(f\ast g) \ast h = f \ast (g\ast h)$
but I'm stucked. You can also offer sources about distributions in order to help me to understand.
Thank you.