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arXiv · 1110.3222

A characterisation of the Fourier transform on the Heisenberg group

R. Lakshmi Lavanya·S. Thangavelu
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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.

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BibTeXRIS

R. Lakshmi Lavanya, S. Thangavelu. 2011-10-14. A characterisation of the Fourier transform on the Heisenberg group. https://arxiv.org/abs/1110.3222

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