I apology for this off topic question:

 I have a 2D FT of size N x N, and I would like to reconstruct the original 
signal with a lower sampling frequency directly (without using an interpolation 
procedure): Given M < N the goal is to compute a M x M "time domain" signal.

 In the case of 1D signal the trick is simple --- given a length N freq. domain 
Sig:

  sig = np.fft.ifft(Sig, M)

This trick does not work in 2D:

 sig = np.fft.ifft2(Sig, (M,M))

is far from being the right answer.

 Any ideas?
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