Does Mathematica implement the fast Fourier transform?

Is there a fast Fourier transform in Mathematica? Although looking in the help I could not find one.

I am looking to implement the equivalent of fft in MATLAB.

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Fourier[list] computes the discrete Fourier transform of list. I assume it uses the FFT when it can.
Note that the normalization used by Mathematica is quite different from conventional (e.g. physics, signal processing) normalizations. Check the definition you are using, and set the option FourierParameters accordingly. – J. M. Feb 2 '12 at 14:15
fftshift[vec_?VectorQ] := RotateRight[vec, Quotient[Length[vec], 2]] – J. M. Feb 2 '12 at 14:39
For reference: MATLAB's fft(stuff) is equivalent to Mathematica's Fourier[stuff, FourierParameters -> {1, -1}]. To do fft(y)/sqrt(length(y)), one doesn't need to do an explicit division, as the adjustment of FourierParameters is all that's needed: Fourier[y, FourierParameters -> {0, -1}]. – J. M. Feb 2 '12 at 15:00
Fourier uses FFT when possible