Analogues of Miyachi, Cowling-Price and Morgan theorems for compact extensions of \(\mathbb R^{n1}\)

DOI10.1007/s13226-013-0031-xzbMath1292.43004OpenAlexW2089921971MaRDI QIDQ395110

Salma Azaouzi, Mounir Elloumi, Ali Baklouti

Publication date: 28 January 2014

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-013-0031-x

zbMATH Keywords

Fourier transformautomorphism groupuncertainty principlesemidirect product

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (3)

An \(L^p\)-\(L^q\) analog of Miyachi's theorem for nilpotent Lie groups and sharpness problems ⋮ Unnamed Item ⋮ HARDY AND MIYACHI THEOREMS FOR HEISENBERG MOTION GROUPS

Cites Work

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• On theorems of Beurling and Hardy for the Euclidean motion groups
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• Uncertainty principle and the \(L^p\)-\(L^q\)-version of Morgan's theorem on some groups
• Uncertainty principles on certain Lie groups
• A generalizaton of Hardy's uncertainty principle on compact extensions of \(\mathbb R^n\)
• An analogue of Hardy's theorem for the Heisenberg group
• A Theorem Concerning Fourier Transforms
• The plancherel formula for group extensions
• The plancherel formula for group extensions II

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