Harmonic analysis on homogeneous vector bundles on hyperbolic spaces

DOI10.3836/TJM/1270043470zbMath0974.43003OpenAlexW2053470495MaRDI QIDQ1913556

Nobukazu Shimeno

Publication date: 21 May 2001

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270043470

zbMATH Keywords

Plancherel formulaharmonic analysisLaplacianhomogeneous vector bundledegenerate principal series representationsPoisson transformation\(K\)-finite eigenfunctions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items (3)

Discrete series representations with non-tempered embedding ⋮ Resonances and residue operators for pseudo-Riemannian hyperbolic spaces ⋮ Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\)

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