Harmonic analysis on non-semisimple symmetric spaces

DOI10.1007/BF02764962zbMath0611.43002OpenAlexW2029081948MaRDI QIDQ1087772

Ronald L. Lipsman

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764962

zbMATH Keywords

involutive automorphismmultiplicity-free spectrumnon-nilpotent symmetric spacesPlancherel decomposition

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80)

Related Items (3)

The up-down formula for nil-homogeneous spaces ⋮ Orbital Parameters for Induced and Restricted Representations ⋮ The Penney-Fujiwara Plancherel formula for Gelfand pairs

Cites Work

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• Unitary representations of group extensions. I
• Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
• Group representations. A survey of some current topics
• Representations of exponential Lie groups
• Harmonic induction on Lie groups.
• Square Integrable Representations of Nilpotent Groups
• The plancherel formula for group extensions
• Sur les extensions des représentations irréductibles des groupes de Lie nilpotents

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