Understanding the Use of Variable Notation in the DTFT

[Jammin_James]

Can someone explain to me why sometimes I see the DTFT as functions of capital omegas or e^(jomega).

I'm failing to see the reason.

 

[marcusl]

$$\Omega$$ usually refers to continuous frequency, which is often appropriate for the DTFT. The z transform is also used heavily in DSP, and it covers the full complex plane. Use of $$exp(j\omega)$$ makes it very clear that you are evaluating the frequency response (which is on the unit circle).