[QUOTE=afried01;584991]Is there a time-differentiation property within the list of discrete transforms?[\quote]
Since time-differentiation makes no sense for a discrete signal, what do you think?
Now if you ask about a sample delay property/shift theorem there might be an answer.
What do you mean by a modulation property for the more usual FTIs there a modultion property?
For the properties of the DFT see >>here<<