A characterisation of the Fourier transform on the Heisenberg group
Functional Analysis
2011-10-17 v1
Abstract
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.
Cite
@article{arxiv.1110.3222,
title = {A characterisation of the Fourier transform on the Heisenberg group},
author = {R. Lakshmi Lavanya and S. Thangavelu},
journal= {arXiv preprint arXiv:1110.3222},
year = {2011}
}
Comments
13 pages