Harmonic analysis for differential forms on complex hyperbolic spaces

DOI10.1016/S0393-0440(99)00026-1zbMath0935.22010OpenAlexW2082643170WikidataQ115338760 ScholiaQ115338760MaRDI QIDQ1962804

Emmanuel Pedon

Publication date: 2 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00026-1

zbMATH Keywords

Fourier transformspherical functionsdifferential formsheat kernelcomplex hyperbolic spacePlancherel theoremPlancherel formulasHodge-de Rham Laplacian spectrum

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential forms in global analysis (58A10) Harmonic analysis and spherical functions (43A90) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (9)

Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps ⋮ The differential form spectrum of quaternionic hyperbolic spaces ⋮ Unnamed Item ⋮ Residue representations -- the rank one case ⋮ Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds ⋮ The incompressible Navier-Stokes equations on non-compact manifolds ⋮ The continuous spectrum of the Dirac operator on noncompact Riemannian symmetric spaces of rank one ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Harmonic analysis for spinor fields in complex hyperbolic spaces

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