Fourier transformation on discrete function

[KFC]

Hi there,
I am reading a material on the application of Fourier transformation in physics. One application is to transform the position-dependent function to k-dependent function, i.e.$F(k) = FFT[f(x)]$

We know that the in physics, the wavenumber could be written in momentum as $k=p/\hbar$. My question is if I have a discrete function

$f(x) = {f_0, f_1, ... f_{N-1}, f_N}$

which doesn't have close form but just given by a simulation. If I do the discrete Fourier transformation, I can have the discrete $F(k)$ but is that any way to obtain $F(p)$ from $F(k)$?

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?

 

[marcusl]

It is possible to take a continuous FT of a function of a discrete variable. Look up the DTFT, "discrete time Fourier transform."