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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.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…