Spectral multipliers for Laplacians with drift on Damek-Ricci spaces

DOI10.1002/mana.201300268zbMath1302.47027arXiv1309.6154OpenAlexW1940152299MaRDI QIDQ2935218

Alessandro Ottazzi, Maria Vallarino

Publication date: 22 December 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6154

zbMATH Keywords

exponential growthspectral multipliersLaplacian with driftnonunimodular groups

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Functional calculus for linear operators (47A60) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items

Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups ⋮ A multiplier theorem for sub-Laplacians with drift on Lie groups

Cites Work

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• Holomorphic \(L^p\)-type for sub-Laplacians on connected Lie groups
• On \(L^ p\) spectral multipliers for a solvable Lie group
• Harmonic analysis on solvable extensions of H-type groups
• Spectral multipliers on exponential growth solvable Lie groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• Multipliers and singular integrals on exponential growth groups
• \(H\)-type groups and Iwasawa decompositions
• Multipliers for a distinguished Laplacean on solvable extensions of \(H\)-type groups
• Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups
• Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups
• Spectral multipliers for sub-Laplacians with drift on Lie groups
• Sub-Laplacians with drift on Lie groups of polynomial volume growth
• The geometry of a semi-direct extension of a Heisenberg type nilpotent group
• Curvature of a semi-direct extension of a Heisenberg type nilpotent group
• A class of nonsymmetric harmonic Riemannian spaces
• L ^p -multipliers for Noncompact Symmetric Spaces
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
• Sur les transformées de Riesz dans le cas du Laplacien avec drift
• Sub-Laplacians of Holomorphic L^p -Type on Exponential Solvable Groups