A characterisation of the Fourier transform on the Heisenberg group

Details A characterisation of the Fourier transform on the Heisenberg group A characterisation of the Fourier transform on the Heisenberg group

2011-10-14

arxiv.org/abs/1110.3222v1

Mathematics

Functional Analysis

13 pages

Scientific paper

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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