\(L^ p\)-analysis on homogeneous manifolds of reductive type and representation theory

DOI10.3792/pjaa.73.62zbMath0883.22015OpenAlexW2023198149MaRDI QIDQ1364462

Toshiyuki Kobayashi

Publication date: 4 September 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.62

zbMATH Keywords

homogeneous manifoldsinvariant measuresirreducible representationsreal reductive linear Lie group

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15)

Related Items (1)

Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups

Cites Work

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• The holomorphic discrete series for affine symmetric spaces. I
• Discrete series for semisimple symmetric spaces
• The restriction of \(A_ q(\lambda)\) to reductive subgroups
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Double coset decompositions of reductive Lie groups arising from two involutions
• Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups
• Double coset decompositions of algebraic groups arising from two involutions I
• Singular unitary representations and discrete series for indefinite Stiefel manifolds 𝑈(𝑝,𝑞;𝐹)/𝑈(𝑝-𝑚,𝑞;𝐹)
• Invariant mesures on homogeneous manifolds of reductive type.

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