I am trying to cancel out the following transfer function of a system:
$$\frac{( 1 - e^{(i*k*T)} ) }{ (i*k)}$$
I thought it would work if I find the inverse Fourier transform of
$$\frac{ (i*k)}{( 1 - e^{(i*k*T)} ) }$$
However I missed the fact that it is singular for some k values.
So my question is, does anything have an inverse Fourier transform? If they do not, how can I cancel out the transfer function I provided before?