Editing Central limit theorem (section)

====Characteristic functions====
Since the [[characteristic function (probability theory)|characteristic function]] of a convolution is the product of the characteristic functions of the densities involved, the central limit theorem has yet another restatement: the product of the characteristic functions of a number of density functions becomes close to the characteristic function of the normal density as the number of density functions increases without bound, under the conditions stated above. Specifically, an appropriate scaling factor needs to be applied to the argument of the characteristic function.

An equivalent statement can be made about [[Fourier transform]]s, since the characteristic function is essentially a Fourier transform.