Residue representations -- the rank one case

DOI10.1016/j.geomphys.2023.104822arXiv2207.10962OpenAlexW4362664181MaRDI QIDQ6098143

Simon Roby

Publication date: 12 June 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.10962

zbMATH Keywords

resonancesLaplacianresidue representationsRiemannian symmetric space of non-compact type

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• 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)

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