The explicit formula for the Harish-Chandra \(C\)-function of \(SU(n,1)\) for arbitrary irreducible representations of \(K\) which contain one dimensional \(M\)-types

DOI10.3792/pjaa.70.256zbMath0838.43008OpenAlexW2012625721MaRDI QIDQ1344807

Masaaki Eguchi, Shin Koizumi

Publication date: 30 May 1996

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.70.256

zbMATH Keywords

charactersirreducible unitary representationsCartan subalgebraHarish-Chandra \(C\)-function\(M\)-highest weight vectorPaley-Wiener-type theorem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• An explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the \(\text{Ad}(K)\) representation
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
• Composition series and intertwining operators for the spherical principal series
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