Filtration of certain spaces of functions on a reductive symmetric space
type: Item
instance of: scholarly article
title: Filtration of certain spaces of functions on a reductive symmetric space
zbMATH Open document ID: 1060.22004
published in: Journal of Functional Analysis
publication date: 2005-01-26T00:00:00Z
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 2131174
zbMATH Keywords: reductive symmetric spaces
zbMATH Keywords: invariant differential operators
zbMATH Keywords: eigenfunctions
zbMATH Keywords: generalized principal series
zbMATH Keywords: Harish-Chandra modules
zbMATH Keywords: sub-quotient theorem
author: Patrick Delorme
author: Sofiane Souaifi
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.02.006
OpenAlex ID: W2025831927
cites work: The principal series for a reductive symmetric space. II: Eisenstein integrals
cites work: Wave packets in the Schwartz space of a reductive symmetric space
cites work: Q3768055
cites work: \(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals
cites work: Terme constant des fonctions tempérées sur un espace symétrique réductif.
cites work: Meromorphic basis of \(H\)-invariant distribution vectors for generalized principal series of reductive symmetric spaces: Functional equation
cites work: Fourier transform on the Schwartz space of a reductive symmetric space
cites work: Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs. (The invariant Paley-Wiener theorem for reductive Lie groups)
cites work: Eisenstein integrals for reductive symmetric spaces: Temperedness, majorations. Small \(B\)-matrix
cites work: Truncation for reductive symmetric spaces
cites work: Plancherel formula for reductive symmetric spaces
cites work: Q3158962
cites work: Harmonic analysis in weighted L2-spaces
cites work: Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
cites work: Characters, asymptotic and n-homology of Harish-Chandra modules
cites work: Intertwining operators for semisimple groups. II
cites work: Fonctions \(\mathbb {D}\)(G/H)-finies sur un espace symétrique réductif. (\(\mathbb {D}\)(G/H)-finite functions on a reductive symmetric space)
cites work: Representations of real reductive Lie groups
cites work: Q4349373
cites work: Q3346501
cites work: Q4004200
DOI: 10.1016/J.JFA.2004.02.006
description: scientific article; zbMATH DE number 2131174