The spectrum of Kleinian manifolds

DOI10.1006/jfan.1999.3494zbMath0966.43004arXivdg-ga/9609011OpenAlexW2009403145MaRDI QIDQ1976333

Ulrich Bunke, Martin Olbrich

Publication date: 14 August 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9609011

zbMATH Keywords

Eisenstein seriesunitary representationsdifferential operatorprincipal series representationslocally symmetric spacediscrete series representationsspectral decompositionsPlancherel theoremPlancherel decompositionselfadjoint elliptic operatorKleinian manifoldreal simple linear connected Lie group

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Partial differential equations on manifolds; differential operators (58J99) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Hyperfunctions in hyperbolic geometry, Unnamed Item, Wave and Klein-Gordon equations on certain locally symmetric spaces, Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one, An inner product formula on two-dimensional complex hyperbolic space, Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds, Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces

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