Resonances for the Laplacian on Riemannian symmetric spaces: The case of 𝑆𝐿(3,ℝ)/𝕊𝕆(3)

DOI10.1090/ert/506zbMath1394.43004arXiv1411.6527OpenAlexW2963342561WikidataQ115291012 ScholiaQ115291012MaRDI QIDQ4588794

Joachim Hilgert, Tomasz Przebinda, Angela Pasquale

Publication date: 2 November 2017

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6527

zbMATH Keywords

resonancesRiemannian symmetric spacesresolvent of the Laplacianresidue operators

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) Differential geometry of symmetric spaces (53C35)

Related Items (7)

Scattering theory for the Laplacian on symmetric spaces of noncompact type and its application to a conjecture of Strichartz ⋮ Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one ⋮ Residue representations -- the rank one case ⋮ Resonances and residue operators for pseudo-Riemannian hyperbolic spaces ⋮ Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces ⋮ Mathematical study of scattering resonances ⋮ On the space of 𝐾-finite solutions to intertwining differential operators

Cites Work

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• Resonances and residue operators for symmetric spaces of rank one
• Representations of real reductive Lie groups
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• Resonances and scattering poles on asymptotically hyperbolic manifolds
• Analytic continuation of resolvent kernels on noncompact symmetric spaces
• Introduction to spectral theory. With applications to Schrödinger operators
• Picard-Lefschetz theory and characters of a semisimple Lie group
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
• Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type
• Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3)
• The residues of the resolvent on Damek-Ricci spaces
• Scattering theory on SL(3)/SO(3): Connections with quantum 3-body scattering

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