Geometric invariants of locally symmetric spaces and multiplier theorems

DOI10.1007/s00208-008-0285-5zbMath1189.42006OpenAlexW2160833774MaRDI QIDQ1000596

Michel Marias, Noël Lohoué

Publication date: 9 February 2009

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

Full work available at URL: https://doi.org/10.1007/s00208-008-0285-5

zbMATH Keywords

Lie groupconvolution operatormultiplier theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Analysis on real and complex Lie groups (22E30) Discrete subgroups of Lie groups (22E40) (H^p)-spaces (42B30)

Related Items (11)

Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ The derivatives of the heat kernel on complete manifolds ⋮ Product \((\alpha_1, \alpha_2)\)-modulation spaces ⋮ Oscillating multipliers on symmetric and locally symmetric spaces ⋮ Wave and Klein-Gordon equations on certain locally symmetric spaces ⋮ Riesz means on symmetric spaces ⋮ Multipliers on locally symmetric spaces ⋮ Oscillating multipliers on rank one locally symmetric spaces ⋮ Multipliers on rank one locally symmetric spaces ⋮ \(H^p\)-bounds for spectral multipliers on Riemannian manifolds ⋮ Spectrum of the Laplacian and Riesz transform on locally symmetric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• \(L^ p\)-estimates on functions of the Laplace operator
• Estimates for translation invariant operators in \(L^p\) spaces
• On \(L^ p\) spectral multipliers for a solvable Lie group
• Hausdorff dimensions of limit sets. I
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• Expansions for spherical functions on noncompact symmetric spaces
• Die Resolvente von Delta auf symmetrischen Räumen vom nichtkompakten Typ
• Plancherel-type estimates and sharp spectral multipliers
• Spectral multipliers for Markov chains
• Heat kernel and Green function estimates on noncompact symmetric spaces
• SPECTRAL MULTIPLIERS ON DISCRETE GROUPS
• 𝐻^{𝑝}-bounds for spectral multipliers on graphs
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• L ^p -multipliers for Noncompact Symmetric Spaces
• Tempered subgroups and representations with minimal decay of matrix coefficients
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Multiplier theorem on generalized Heisenberg groups
• Critical exponents of discrete groups and 𝐿²–spectrum
• $H^{1}$-bounds for spectral multipliers on graphs
• Multiplicateurs Sur Certains Espaces Symetriques
• Singular integrals on symmetric spaces, II
• Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales
• The Theory of p-Spaces with an Application to Convolution Operators
• Lp multipliers on noncompact symmetric spaces.
• The Plancherel Formula For Complex Semisimple Lie Groups
• Spectral multipliers on quotients by amenable subgroups

This page was built for publication: Geometric invariants of locally symmetric spaces and multiplier theorems