Resonances and residue operators for symmetric spaces of rank one
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Publication:1019134
DOI10.1016/j.matpur.2009.01.009zbMath1167.43010OpenAlexW2000416546MaRDI QIDQ1019134
Angela Pasquale, Joachim Hilgert
Publication date: 28 May 2009
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2009.01.009
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85)
Related Items (9)
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 ⋮ Resonances for the Laplacian on Riemannian symmetric spaces: The case of 𝑆𝐿(3,ℝ)/𝕊𝕆(3) ⋮ Residue representations -- the rank one case ⋮ Resonances and residue operators for pseudo-Riemannian hyperbolic spaces ⋮ Ramanujan's master theorem for Riemannian symmetric spaces ⋮ Unnamed Item ⋮ Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces ⋮ Support theorems on \(\mathbb R^n\) and non-compact symmetric spaces
Cites Work
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- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
- The resolvent of the Laplacian on locally symmetric spaces
- A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations
- Analytic continuation of resolvent kernels on noncompact symmetric spaces
- Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
- Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
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