It seems that in Rudin's functional analysis (P168, Thm6.27) that the Dirac distribution $\delta_0$ on $R^1$ can write as $$ \delta_0=f_0+f'_1+f''_2, $$ for $\{f_i\}_{i=0}^2\in C(R^1)$, there $'$ should be understand as derivative of distruibution of course.
My problem is, can we write down $f_i$ exactly?