Characterization of the \(L^p\) range of a generalized Poisson transform of the hyperbolic space \(B(\mathbb{H}^n)\)

DOI10.1215/21562261-2022-0012zbMath1501.43006arXiv1712.04634OpenAlexW4226341265WikidataQ115517606 ScholiaQ115517606MaRDI QIDQ2672166

Imane Ghanimi

Publication date: 8 June 2022

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

Full work available at URL: https://arxiv.org/abs/1712.04634

zbMATH Keywords

spherical functionsspecial functionsPoisson transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• Eigenspaces of the Laplacian ; integral representations and irreducibility
• Harmonic analysis on vector bundles over \(\text{Sp}(1,n)/\text{Sp}(1)\times\text{Sp}(n)\)
• Eigenspaces of the Laplacian on hyperbolic spaces: composition series and integral transforms
• Singular unitary representations and discrete series for indefinite Stiefel manifolds 𝑈(𝑝,𝑞;𝐹)/𝑈(𝑝-𝑚,𝑞;𝐹)
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
• Sur les représentations unitaires des groupes de Lorentz généralisés
• Induced Representations

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