The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups

DOI10.1515/FORUM.2006.015zbMath1101.22004OpenAlexW2042261573WikidataQ115236448 ScholiaQ115236448MaRDI QIDQ5487094

Nour Ben Salah, Ali Baklouti

Publication date: 18 September 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2006.015

zbMATH Keywords

Fourier transform

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (11)

On Hardy's uncertainty principle for solvable locally compact groups ⋮ An Analogue of Beurling's Theorem for the Heisenberg Group ⋮ The \(L^{p}-L^{q}\) analog of Morgan's theorem on exponential solvable Lie groups ⋮ Unnamed Item ⋮ On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups ⋮ Beurling's theorem for nilpotent Lie groups ⋮ On Hardy's uncertainty principle for connected nilpotent Lie groups ⋮ VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS ⋮ Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups ⋮ On theorems of Morgan and Cowling-Price for selected nilpotent Lie groups ⋮ Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups

Cites Work

• A uniqueness theorem of Beurling for Fourier transform pairs
• The uncertainty principle: A mathematical survey
• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• Hardy's uncertainty principle on semisimple groups
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups
• 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
• Hardy's Uncertainty Principle on Certain Lie Groups
• An uncertainty principle like Hardy's theorem for nilpotent Lie groups
• A Theorem Concerning Fourier Transforms
• An analogue of Hardy’s theorem for semi-simple Lie groups

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