Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires. (Mikhlin multipliers for a particular class of non-unimodular groups.)

DOI10.5802/aif.1644zbMath0911.22002OpenAlexW2072093877MaRDI QIDQ1271447

Sami Mustapha

Publication date: 9 November 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_4_957_0

zbMATH Keywords

nilpotent Lie groupheat kernelexponential growthmultiplierbounded linear operatorreal Lie groupsub-LaplacianHeisenberg groups

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (7)

Spectral multipliers on a class of \(NA\) groups with rank two ⋮ Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales ⋮ Spectral multipliers on some rank one \(NA\)-groups with roots not all positive ⋮ Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups ⋮ One-parameter groups of regular quasimultipliers ⋮ Riesz transforms on solvable extensions of stratified groups ⋮ Hartman-Watson distribution and hyperbolic-like heat kernels

Cites Work

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• Multipliers for a distinguished Laplacean on solvable extensions of \(H\)-type groups
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• On some exponential functionals of Brownian motion
• The Subalgebra of L 1 (AN) Generated by the Laplacian
• L ^p -multipliers for Noncompact Symmetric Spaces
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
• Multiplier theorem on generalized Heisenberg groups
• Boundedness of $L^1$ spectral multipliers for an exponential solvable Lie group
• Multiplicateurs Sur Certains Espaces Symetriques
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Analysis on Lie groups

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