The Fourier transform interchanges the Schrödinger representation with a dual representation, yielding dual equivalence bimodules and a conditional correspondence between self-dual and anti-self-dual solitons.
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Fourier transform, Schr\"odinger representation, and Heisenberg modules
The Fourier transform interchanges the Schrödinger representation with a dual representation, yielding dual equivalence bimodules and a conditional correspondence between self-dual and anti-self-dual solitons.