The \(L^{p}-L^{q}\) analog of Morgan's theorem on exponential solvable Lie groups

DOI10.1134/S000143461009018XzbMath1237.22001WikidataQ115253967 ScholiaQ115253967MaRDI QIDQ650305

Fatma Abdelmoula, Ali Baklouti

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transformnilpotent Lie groupPlancherel's formulaMorgan's uncertainty principle

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (2)

An \(L^p\)-\(L^q\) analog of Miyachi's theorem for nilpotent Lie groups and sharpness problems ⋮ On theorems of Morgan and Cowling-Price for selected nilpotent Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit orbital parameters and the Plancherel measure for exponential Lie groups
• On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups
• Unitary representation theory of exponential Lie groups
• The uncertainty principle: A mathematical survey
• 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
• Uncertainty principles on certain Lie groups
• On Hardy's uncertainty principle for solvable locally compact groups
• On Hardy's uncertainty principle for connected nilpotent Lie groups
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
• A Theorem Concerning Fourier Transforms
• A Note on Fourier Transforms
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups

This page was built for publication: The \(L^{p}-L^{q}\) analog of Morgan's theorem on exponential solvable Lie groups