Estimate of the Lp -Fourier transform norm for connected nilpotent Lie groups

DOI10.1515/APAM.2011.001zbMath1230.22006WikidataQ115236985 ScholiaQ115236985MaRDI QIDQ3093141

Ali Baklouti, Junko Inoue

Publication date: 12 October 2011

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

irreducible representationnilpotent Lie groupcoadjoint orbitFourier transform norm

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (2)

Heisenberg–Pauli–Weyl inequality for connected nilpotent Lie groups ⋮ The \(L^p\)-Fourier transform norm on compact extensions of locally compact groups

Cites Work

• The norm of the \(L^p\)-Fourier transform. III. Compact extensions
• Sharp inequalities for Weyl operators and Heisenberg groups
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups

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