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A characterisation of the Fourier transform on the Heisenberg group

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Publication:455458
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DOI10.15352/AFA/1399900028zbMath1260.43010OpenAlexW2033385045MaRDI QIDQ455458

Sundaram Thangavelu, R. Lakshmi Lavanya

Publication date: 22 October 2012

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v3_n1_a10.pdf


zbMATH Keywords

Heisenberg grouptwisted convolutionWeyl transformgroup Fourier transformspecial Hermite functions


Mathematics Subject Classification ID

Convolution, factorization for one variable harmonic analysis (42A85) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80)


Related Items (4)

Hardy space estimates of Hausdorff operators on the Heisenberg group ⋮ Integral transforms characterized by convolution ⋮ Characterization of Fourier transform of \(H\)-valued functions on the real line ⋮ CHARACTERISATION OF THE FOURIER TRANSFORM ON COMPACT GROUPS







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