arXiv:1110.3222 Abstract | arXiv Analytics

arXiv:1110.3222 [math.FA]Abstract References Reviews Resources

A characterisation of the Fourier transform on the Heisenberg group

Published 2011-10-14Version 1

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.

Comments: 13 pages

Categories: math.FA

Keywords: heisenberg group, group fourier transform, similar characterisation, weyl transform, twisted convolution

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