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math.FA2016★ 1 cited
A Characterisation of the Fourier transform on the Schwartz-Bruhat space of locally compact Abelian groups
R. Lakshmi Lavanya
We obtain a characterisation of the Fourier transform on the space of Schwartz-Bruhat functions on locally compact Abelian groups. The result states that any appropriately additive…
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…