Basis of the most continuous series of spherical generalized functions on \(G_C/G_R\)
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Publication:1381579
DOI10.1006/jfan.1997.3164zbMath0899.22014OpenAlexW2023631081MaRDI QIDQ1381579
Publication date: 27 April 1998
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1997.3164
Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)
Related Items
Basis of the most continuous series of spherical generalized functions on \(G_C/G_R\) ⋮ Orbital functions on \(G_C/G_R\). Inversion formula of orbital integrals and Plancherel formula ⋮ Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
Cites Work
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- Sur les caractères des groupes de Lie réductifs non connexes. (On the characters of non-connected reductive Lie groups)
- Fourier and Poisson transformation associated to a semisimple symmetric space
- Coefficients généralisés de séries principales sphériques et distributions sphériques sur \(G_ \mathbb{C} /G_ \mathbb{R}\). (Generalized coefficients of spherical principal series and spherical distributions over \(G_ \mathbb{C} /G_ \mathbb{R}\))
- Distributions sphériques invariantes sur les espaces symétriques semi-simples \(G_ c/G\). (Invariant spherical distributions over the semi-simple symmetric spaces \(G_ c/G\))
- Spherical generalized functions induced on \(G_{\mathbb{C}}/G_{\mathbb{R}}\) and applications
- Harmonic analysis on real reductive groups
- Meromorphic basis of \(H\)-invariant distribution vectors for generalized principal series of reductive symmetric spaces: Functional equation
- Correspondence of spherical distributions between two symmetric spaces of type \(G_ C/G_ R\)
- Basis of the most continuous series of spherical generalized functions on \(G_C/G_R\)
- Inversion formula of orbital integrals on reductive Lie groups
- The principal series for a reductive symmetric space. I. $H$-fixed distribution vectors
- Fonctions généralisées sphériques sur $G_\mathbb{C}/G_\mathbb{R}$
- Sur les représentations induites des groupes de Lie
- Fundamental Solutions of Invariant Differential Operators on Symmetric Spaces