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Some Characterisations of the Strichartz Fourier Transform on the Heisenberg Group
R. Lakshmi Lavanya
Recently, Thangavelu introduced the Strichartz Fourier transform on the Heisenberg group. Around the same time, Krukowski characterised the classical Fourier transform on various s…
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…
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…
Mixed norm estimates for Hermite multipliers
R. Lakshmi Lavanya, S. Thangavelu
In this article mixed norm estimates are obtained for some integral operators, from which those for the Hermite semigroup and the Bochner Riesz means associated with the Hermite ex…