Invariant spherical distributions of discrete series on real semisimple symmetric spaces \(G_ C/G_ R\)

DOI10.3792/PJAA.65.12zbMath0715.22010OpenAlexW1977606732MaRDI QIDQ752198

Shigeru Sano

Publication date: 1989

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.65.12

zbMATH Keywords

regular elementscharacterdiscrete seriesreal semisimple Lie groupprincipal seriescompact Cartan subalgebrainvariant spherical distributionssimply connected complexification

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant spherical distributions and the Fourier inversion formula on \(GL(n,{\mathbb{C}})/GL(n,{\mathbb{R}})\)
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters

This page was built for publication: Invariant spherical distributions of discrete series on real semisimple symmetric spaces \(G_ C/G_ R\)