On theorems of Morgan and Cowling-Price for selected nilpotent Lie groups

DOI10.7153/mia-2019-22-17zbMath1418.22006OpenAlexW2913542452WikidataQ115157745 ScholiaQ115157745MaRDI QIDQ5223481

Kais Smaoui

Publication date: 18 July 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-17

zbMATH Keywords

Fourier transformPlancherel formulauncertainty principle

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• The \(L^{p}-L^{q}\) analog of Morgan's theorem on exponential solvable Lie groups
• An \(L^{p}\)-\(L^{q}\)-version of Morgan's theorem for the \(n\)-dimensional Euclidean motion group
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• Uncertainty principle and the \(L^p\)-\(L^q\)-version of Morgan's theorem on some groups
• Hardy's uncertainty principle on semisimple groups
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups
• The uncertainty principle on Riemannian symmetric spaces of the noncompact type
• A Theorem Concerning Fourier Transforms
• VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups
• Uncertainty principles on two step nilpotent Lie groups

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