  In this paper, we investigate the behavior of the Fourier transform on finite
dimensional 2-step Lie groups and develop a general theory akin to that of the
whole space or the torus. We provide a familiar framework in which computations
are made sensibly easier than with the usual representation-theoretic Fourier
transform. In addition, we study the 'singular frequencies' of the group, at
which the canonical bilinear antisymmetric form degenerates. We also exhibit a
specific example for which partial degeneracy of the canonical form occurs, as
opposed to the full degeneracy at the origin. We thus extend the results from
[1].
