I have a function F, which depends on a discrete variable x, and I need to Fourier Transform it. I have put all the possible values of F in a table.

Then I have used the command "Fourier" on the table, which - according to Fourier - Wolfram Mathematica 7 Documentation - results in the discrete Fourier Transform. But the new table only contains pure numbers, no phase factor. Why is that, and is there a way to include the phase?

Best,

Niles.