As another alternative, you could fit in frequency
$f\equiv\omega/2\pi$ instead of angular frequency $\omega$. The
-analysis will be the same, but we must be careful with normalization.
-Comparing the angular frequency and normal frequency unitary Fourier
-transforms
+analysis will be the same, but we must be careful with normalization
+due to the different scales. Comparing the angular frequency and
+normal frequency unitary Fourier transforms
\begin{align}
\Four{x(t)}(\omega)
&\equiv \frac{1}{\sqrt{2\pi}} \iInfInf{t}{x(t) e^{-i \omega t}} \\