Abstract
The aim of this paper is to show that any continuous $*$-homomorphism of $L^1(\C^n)$(with twisted convolution as multiplication) into $\CB(L^2(\Rn))$ 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.
Citation
R. Lakshmi Lavanya. S. Thangavelu. "A characterisation of the Fourier transform on the Heisenberg group." Ann. Funct. Anal. 3 (1) 109 - 120, 2012. https://doi.org/10.15352/afa/1399900028
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