The Helgason Fourier transform for homogeneous vector bundles over compact Riemannian symmetric spaces -- the local theory

DOI10.1016/j.jfa.2004.08.013zbMath1060.43004OpenAlexW1973709505MaRDI QIDQ1766551

Roberto Camporesi

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.08.013

zbMATH Keywords

Fourier transformsymmetric spacesharmonic analysisrepresentation theoryhomogeneous vector bundles

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) General harmonic expansions, frames (42C15)

Related Items (5)

Nearly holomorphic sections on compact Hermitian symmetric spaces ⋮ Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one ⋮ Strong multiplicity one theorems for locally homogeneous spaces of compact-type ⋮ Invariant random fields in vector bundles and application to cosmology ⋮ Strong representation equivalence for compact symmetric spaces of real rank one

Cites Work

• The Helgason Fourier transform for compact Riemannian symmetric spaces of rank one
• The Helgason Fourier transform for homogeneous vector bundles over Riemannian symmetric spaces
• A generalization of the Cartan-Helgason theorem for Riemannian symmetric spaces of rank one
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