Invariant fundamental solutions and solvability for symmetric spaces of type \( G_C / G_ R \) with only one conjugacy class of Cartan subspaces

DOI10.1007/BF02384765zbMath1037.22019OpenAlexW2091696935MaRDI QIDQ1426895

Nils Byrial Andersen

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384765

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Cites Work

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• Global solvability of the Laplacians on pseudo-Riemannian symmetric spaces
• Orbits on affine symmetric spaces under the action of the isotropy subgroups
• Distributions sphériques invariantes sur les espaces symétriques semi-simples \(G_ c/G\). (Invariant spherical distributions over the semi-simple symmetric spaces \(G_ c/G\))
• Orbital integrals on reductive Lie algebras
• Correspondence of spherical distributions between two symmetric spaces of type \(G_ C/G_ R\)
• Orbital functions on \(G_C/G_R\). Inversion formula of orbital integrals and Plancherel formula
• The surjectivity of invariant differential operators on symmetric spaces. I
• Intégrales orbitales sur les groupes de Lie réductifs
• Fundamental Solutions of Invariant Differential Operators on Symmetric Spaces

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