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most citedA Characterisation of the Fourier transform on the Schwartz-Bruhat space of locally compact Abelian groups

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math.FA2011

A characterisation of the Fourier transform on the Heisenberg group

R. Lakshmi Lavanya, S. Thangavelu

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 thi…