Fourier Transform of a discrete function

[matteo86bo]

I have a set of N data points defined over a periodic interval, $0\le x \le 1$.
I made a discrete fast Fourier transform of these data points and I get a discretized function in the Fuorier space. My question is what are the coordinate of these data points in the Fourier space?
I mean, in the real space I have in a point x=3 my function f=7.
After my discrete Fourier transform I know that this correspond to f'=49 what is the coordinate k?

All I know is that when I apply my discrete Fourier transform to my data I have a periodic function with period N/2.

 

[fresh_42]

https://en.wikipedia.org/wiki/Discrete_Fourier_transform
gives you the complex coordinates. The DFT turns a polynomial into a function, both have a two dimensional graph.