Resonances and residue operators for pseudo-Riemannian hyperbolic spaces

DOI10.1016/j.matpur.2023.06.012arXiv2303.04780OpenAlexW4380368860MaRDI QIDQ6134670

Jan Möllers, Polyxeni Spilioti

Publication date: 22 August 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.04780

zbMATH Keywords

resolventhyperbolic spaceLaplace-Beltrami operatorresonancespseudo-Riemannian manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Cites Work

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• Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces
• Resonances and residue operators for symmetric spaces of rank one
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Distributions spheriques sur les espaces hyperboliques
• The resolvent of the Laplacian on locally symmetric spaces
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Distribution of resonances for spherical black holes
• Analytic continuation of resolvent kernels on noncompact symmetric spaces
• The meromorphic continuation of the resolvent of the Laplacian on line bundles over \(\mathbb C H(n)\).
• Harmonic analysis on homogeneous vector bundles on hyperbolic spaces
• Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one
• Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
• Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
• Resonances for the Laplacian on Riemannian symmetric spaces: The case of 𝑆𝐿(3,ℝ)/𝕊𝕆(3)
• Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
• The residues of the resolvent on Damek-Ricci spaces
• Resonances for the Laplacian: the Cases BC2 and C2 (except SO0(p, 2) with p > 2 odd)
• Paley-Wiener theorems for hyperbolic spaces

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