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(fftw.info)What RFFTWND Really Computes

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What RFFTWND Really Computes
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   The conventions that we follow for the real multi-dimensional
transform are analogous to those for the complex multi-dimensional
transform. In particular, the forward transform has a negative sign in
the exponent and neither the forward nor the backward transforms will
perform any normalization.  Computing the backward transform of the
forward transform will multiply the array by the product of its
dimensions (that is, the logical dimensions of the real data).  The
forward transform is real-to-complex and the backward transform is
complex-to-real.

   The TeX version of this manual contains the exact definition of the
n-dimensional transform RFFTWND uses.  It is not possible to display
the definition on a ASCII terminal properly.