A simplified approach to the holomorphic discrete series

DOI10.1016/j.indag.2024.03.014MaRDI QIDQ6663158

Adam Korányi

Publication date: 14 January 2025

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

discrete seriesHarish-Chandra condition

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Cites Work

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• Wave packets for the relative discrete series. I: The holomorphic case
• Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
• Function spaces and reproducing kernels on bounded symmetric domains
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Representations of Semisimple Lie Groups, V
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• The Analytic Continuation of the Discrete Series.I
• Semisimple groups and Riemannian symmetric spaces

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