Analytic continuation of resolvent kernels on noncompact symmetric spaces

DOI10.1007/s00209-004-0760-yzbMath1081.58027arXivmath/0310395OpenAlexW3102736042WikidataQ61834753 ScholiaQ61834753MaRDI QIDQ1779880

Alexander Strohmaier

Publication date: 2 June 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310395

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

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, Scattering theory for the Laplacian on manifolds with bounded curvature, Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces, A scattering approach to a surface with hyperbolic cusp, Scattering at low energies on manifolds with cylindrical ends and stable systoles, Resonances and residue operators for symmetric spaces of rank one, Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type

Cites Work

• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Resolvent of the Laplacian on strictly pseudoconvex domains
• The resolvent of the Laplacian on locally symmetric spaces
• Resolvents and Martin boundaries of product spaces
• Existence of resonances in three dimensions
• On the analytic continuation of rank one Eisenstein series
• The surjectivity of invariant differential operators on symmetric spaces. I
• Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces
• A duality for symmetric spaces with applications to group representations
• Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
• Spherical Functions on a Semisimple Lie Group, I
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