3 papers
math.CA2016
On isomorphisms of algebras of compactly supported continuous functions
R. Lakshmi Lavanya
We study the general form of isomorphisms on the algebra of compactly supported complex-valued continuous functions defined on a locally compact Hausdorff space (the proof of which…
math.FA2016
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.CA2016
A Characterisation of the Euclidean Fourier transform on the Schwartz space
R. Lakshmi Lavanya
We obtain a characterisation of the Fourier transform on the space of Schwartz class functions on The result states that any appropriately additive bijection of the…