scientific article; zbMATH DE number 7700656

arXiv2206.08777MaRDI QIDQ6159969

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Publication date: 23 June 2023

Full work available at URL: https://arxiv.org/abs/2206.08777

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zbMATH Keywords

intertwining operatorPlancherel formuladirect integralSL(2,R)Fourier-Jacobi transform

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• Distributions spheriques sur les espaces hyperboliques
• Spherical functions on a simply connected semisimple Lie groups. II: The Paley-Wiener theorem for the rank one case
• Analysis on real hyperbolic spaces
• The Plancherel formula for spherical functions with a one-dimensional \(K\)-type on a simply connected simple Lie group of Hermitian type
• The Plancherel formula for the line bundles on \(\mathrm{SL}(n + 1, \mathbb{R})/S(\mathrm{GL}(1,\mathbb{R})\times \mathrm{GL}(n, \mathbb{R}))\)
• Harmonic analysis on hyperboloids
• Decomposition of C ∞ Intertwining Operators for Lie Groups
• On the direct integral decomposition in branching laws for real reductive groups

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