Spectral projectors, resolvent, and Fourier restriction on the hyperbolic space

DOI10.1016/j.jfa.2023.109918OpenAlexW3152845480MaRDI QIDQ2700657

Pierre Germain, Tristan Léger

Publication date: 27 April 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04126

zbMATH Keywords

resolventhyperbolic spacesmoothing estimatesFourier restriction

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The wave equation on hyperbolic spaces
• Concerning \(L^p\) resolvent estimates for simply connected manifolds of constant curvature
• \(L^ p\)-estimates on functions of the Laplace operator
• Nonlinear Schrödinger equation on real hyperbolic spaces
• Resolvent estimates on symmetric spaces of noncompact type
• Semilinear Schrödinger flows on hyperbolic spaces: scattering in \(H^{1}\)
• Harmonic analysis as spectral theory of Laplacians
• Partial differential equations. II: Qualitative studies of linear equations
• Oscillatory integrals and spherical harmonics
• Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
• Fourier integral operators on noncompact symmetric spaces of real rank one
• An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators
• Die Resolvente von Delta auf symmetrischen Räumen vom nichtkompakten Typ
• Singular integrals on symmetric spaces of real rank one
• Heat kernel and Green function estimates on noncompact symmetric spaces
• Endpoint Strichartz estimates for magnetic wave equations on two dimensional hyperbolic spaces.
• On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds
• Fourier Integrals in Classical Analysis
• On L^p resolvent estimates for Laplace–Beltrami operators on compact manifolds
• Weak type estimates for spherical multipliers on noncompact symmetric spaces
• L ^p -multipliers for Noncompact Symmetric Spaces
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Resolvent and Spectral Measure on Non-Trapping Asymptotically Hyperbolic Manifolds II: Spectral Measure, Restriction Theorem, Spectral Multipliers
• Singular integrals on symmetric spaces, II
• Fourier Restriction, Decoupling, and Applications
• A restriction theorem for the Fourier transform

This page was built for publication: Spectral projectors, resolvent, and Fourier restriction on the hyperbolic space