The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula

DOI10.1016/j.jfa.2024.110333arXiv2203.14784WikidataQ130134209 ScholiaQ130134209MaRDI QIDQ6147091

Gestur Olafsson, Jan Möllers, Bent Orsted

Publication date: 31 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14784

zbMATH Keywords

Hardy spaceholomorphic discrete seriesWhittaker vectorWhittaker Plancherel formula

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Cites Work

• A geometric quantization of the Kostant-Sekiguchi correspondence for scalar type unitary highest weight representations
• Holomorphic functions of moderate growth and distribution vectors
• Holomorphic \(H\)-spherical distribution vectors in principal series representations
• Bessel functions of matrix argument
• Hermitian symmetric spaces and their unitary highest weight modules
• Fonctions de Bessel sur une algèbre de Jordan. (Bessel functions on a Jordan algebra)
• The holomorphic discrete series for affine symmetric spaces. I
• Complex Lie semigroups, Hardy spaces and the Gel'fand-Gindikin program
• The Plancherel formula for spherical functions with a one-dimensional \(K\)-type on a simply connected simple Lie group of Hermitian type
• Generalized Whittaker vectors for holomorphic and quaternionic representations
• Analytic Extension of the Holomorphic Discrete Series
• Some regular symmetric pairs
• The Holomorphic Discrete Series of an Affine Symmetric Space and Representations with Reproducing Kernels
• Spherical representations and mixed symmetric spaces
• Degenerate Whittaker functions for $\Sp_n(\R)$
• Horospherical model for holomorphic discrete series and horospherical Cauchy transform
• Representations of SU(2,1) in Fourier Term Modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula