The differential form spectrum of quaternionic hyperbolic spaces

DOI10.1016/j.bulsci.2004.06.004zbMath1070.22005OpenAlexW2013725921MaRDI QIDQ2387390

Emmanuel Pedon

Publication date: 2 September 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.06.004

zbMATH Keywords

differential formsspectral theoryLaplacianquaternionic hyperbolic spaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Analysis on real and complex Lie groups (22E30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items

Unnamed Item ⋮ On the spectrum and the topology of congruence hyperbolic varieties: the complex and quaternionic cases ⋮ Residue representations -- the rank one case ⋮ An extension problem for the CR fractional Laplacian

Cites Work

• Branching theorems for semisimple Lie groups of real rank one
• The differential form spectrum of hyperbolic space
• Harmonic analysis for differential forms on complex hyperbolic spaces
• The continuous spectrum of the Dirac operator on noncompact Riemannian symmetric spaces of rank one
• The point spectrum of the Dirac operator on noncompact symmetric spaces
• The L^2-cohomology of negatively curved Riemannian symmetric spaces
• The Embeddings of the Discrete Series in the Principal Series for Semisimple Lie Groups of Real Rank One
• Analyse harmonique des formes différentielles sur l'espace hyperbolique réel I. Transformation de Poisson et fonctions sphériques
• A BUNDLE VALUED RADON TRANSFORM, WITH APPLICATIONS TO INVARIANT WAVE EQUATIONS
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