Where $f, g$ are functions, $\delta$ is the Dirac Delta distribution ('aka Delta function'), and L is a linear (LTI) operator,
if $g = L(f)$, then can we say in all cases $g = Li * f$ , where $ Li $ is defined as $L(\delta)$, i.e. the impulse response?
My questions: Is this true?
Any references would be appreciated.