Harish-Chandra's \(c\)-function; 50 years later
DOI10.5802/afst.1498zbMath1353.22005OpenAlexW2505034800MaRDI QIDQ341045
Publication date: 15 November 2016
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/afst.1498
Plancherel formula\(c\)-functionfinite-dimensional representationsdual horospherical transformhorospherical transformRadon's transformwonderful boundary
Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)
Cites Work
- Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems
- Harmonic analysis on symmetric Stein manifolds from the point of view of complex analysis
- Horospherical transform on Riemannian symmetric manifolds of noncompact type
- The Fourier transform of Harish-Chandra's \(c\)-function and inversion of the Abel transform
- A realization of Riemannian symmetric spaces
- Integral geometry on \(SL(2;\mathbb{R})\)
- On Stein extensions of real symmetric spaces
- Intertwining operators for semisimple groups
- Spherical Functions on a Semisimple Lie Group, I
- Integral geometry on symmetric manifolds
- Restricted Roots and Restricted Form of Weyl Dimension Formula for Spherical Varieties
- Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I
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