The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula. II: Non-tube type groups

DOI10.1016/J.INDAG.2024.05.012MaRDI QIDQ6663169

Jan Möllers, Gestur Ólafsson, Bent Ørsted

Publication date: 14 January 2025

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

zbMATH Keywords

holomorphic discrete seriesWhittaker vectorWhittaker Plancherel formula

Mathematics Subject Classification ID

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

Cites Work

• Title not available (Why is that?)
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• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Generalized Whittaker vectors for holomorphic and quaternionic representations
• Realization of Hermitian symmetric spaces as generalized half-planes
• Analytic continuation in representation theory and harmonic analysis
• One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.
• Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces
• Generalized Cayley Transformations of Bounded Symmetric Domains
• Compactifications of Symmetric Spaces
• The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula

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