Estimate of the \(L^p\)-Fourier transform norm on strong \(\ast\)-regular exponential solvable Lie groups

DOI10.1007/s10114-005-0845-5zbMath1128.22005OpenAlexW1996493585WikidataQ115385278 ScholiaQ115385278MaRDI QIDQ2644346

Ali Baklouti, L. Scuto, Kais Smaoui, Jean Ludwig

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0845-5

zbMATH Keywords

Plancherel measureunitary representationcoadjoint orbitexponential Lie group\(L^p\)-Fourier transform

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Other transforms and operators of Fourier type (43A32)

Related Items (3)

An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ The \(L^p\)-Fourier transform norm on compact extensions of locally compact groups ⋮ The Hausdorff-Young inequality on Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• *-regularity of exponential Lie groups
• \(L^ p\)-Fourier transforms on nilpotent Lie groups and solvable Lie groups acting on Siegel domains
• On the regular representation of a nonunimodular locally compact group
• Inequalities in Fourier analysis
• Sharp inequalities for Weyl operators and Heisenberg groups
• On the Hausdorff-Young theorem for integral operators
• Unitary representation theory of exponential Lie groups
• \(L^p\) Fourier transformation on non-unimodular locally compact groups
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups
• Borel Structure in Groups and Their Duals
• L p Fourier Transforms on Locally Compact Unimodular Groups
• The Norm of the L p -Fourier Transform on Unimodular Groups
• Sur l'analyse harmonique sur les groupes de Lie résolubles
• The Norm of the L^p-Fourier Transform, II
• Sharpness in Young’s inequality for convolution
• Abstract Interpolation and Operator-Valued Kernels
• Unitary representations of solvable Lie groups
• The plancherel formula for group extensions

This page was built for publication: Estimate of the \(L^p\)-Fourier transform norm on strong \(\ast\)-regular exponential solvable Lie groups