Invariant eigendistributions for the symmetric pair \((\mathfrak {gl}(4,\mathbb R),\mathfrak {gl}(2,\mathbb R) \times \mathfrak {gl}(2,\mathbb R))\)

DOI10.1016/J.JFA.2011.06.012zbMath1242.43010arXiv1102.0963OpenAlexW2028783016MaRDI QIDQ647573

Pascale Harinck, Nicolas L. Jacquet

Publication date: 24 November 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0963

zbMATH Keywords

orbital integralsymmetric pairinvariant eigendistribution

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Cites Work

• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Distributions spheriques sur les espaces hyperboliques
• Distributions sphériques invariantes sur les espaces symétriques semi-simples \(G_ c/G\). (Invariant spherical distributions over the semi-simple symmetric spaces \(G_ c/G\))
• Harmonic analysis on real reductive groups
• MATCHING CONDITIONS FOR INVARIANT EIGENDISTRIBUTIONS ON SOME SEMISIMPLE SYMMETRIC SPACES
• Distributions Invariant under an Orthogonal Group of Arbitrary Signature.
• Differential-Difference Operators Associated to Reflection Groups
• Invariant Distributions on Lie Algebras
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