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20112026
most citedA Characterisation of the Fourier transform on the Schwartz-Bruhat space of locally compact Abelian groups

1 citations · 3 across the 5 of their papers we have counts for

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7 papers

math.CA2026

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…

cs.CL2026

rTaste: Do Research Agents Have Taste? Evaluating Early Stage Research Judgment

Art Kanke

Do research agents have taste, the judgment of which experiments are worth running before their outcomes are known? We give six frontier models seven recent NLP papers. Each model,…

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★ 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.CA2016★ 1 cited

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…

math.CA2013★ 1 cited

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…

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…