A characterisation of the Fourier transform on the Heisenberg group
classification
🧮 math.FA
keywords
grouptransformcharacterisationconvolutionfourierheisenbergcationcontinuous
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The aim of this paper is to show that any continuous *-homomorphism of L1(Cn)(with twisted convolution as multipli- cation) into B(L2(Rn)) is essentially a Weyl transform. From this we deduce a similar characterisation for the group Fourier transform on the Heisenberg group, in terms of convolution.
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