This amounts to accumulating copies of the function's spectrum centered at the delta functions of the sampling
Remember the goal of a sampled represention is to faithfully represent the underlying
Ideally we would apply a low-pass filter to our
sampled representation to reconstruct our original function.
We will call this processing a reconstruction filter.
In this example we mixed together copies of our function (as seen in
the darker overlap regions).
In this case subsequent processing does not allow us to separate out a
representative copy of our function.