Fonctions \(\mathbb {D}\)(G/H)-finies sur un espace symétrique réductif. (\(\mathbb {D}\)(G/H)-finite functions on a reductive symmetric space)

DOI10.1006/JFAN.2002.3973zbMath1015.43014OpenAlexW2075975300MaRDI QIDQ1865316

Sofiane Souaifi

Publication date: 26 March 2003

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

Full work available at URL: https://doi.org/10.1006/jfan.2002.3973

zbMATH Keywords

exponential functionsinvariant differential operatorsreductive symmetric spaceEisenstein integrals

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (1)

Filtration of certain spaces of functions on a reductive symmetric space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characters, asymptotic and n-homology of Harish-Chandra modules
• Asymptotic behavior of matrix coefficients of admissible representations
• Local boundary data of eigenfunctions on a Riemannian symmetric space
• Plancherel formula for reductive symmetric spaces
• Intertwining operators for semisimple groups. II
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Harmonic analysis on real reductive groups
• On Whittaker vectors and representation theory
• Fourier transform on the Schwartz space of a reductive symmetric space
• Meromorphic basis of \(H\)-invariant distribution vectors for generalized principal series of reductive symmetric spaces: Functional equation
• Truncation for reductive symmetric spaces
• The principal series for a reductive symmetric space. II: Eisenstein integrals
• Wave packets in the Schwartz space of a reductive symmetric space
• Eisenstein integrals for reductive symmetric spaces: Temperedness, majorations. Small \(B\)-matrix
• Terme constant des fonctions tempérées sur un espace symétrique réductif.
• Harmonic analysis in weighted L2-spaces

This page was built for publication: Fonctions \(\mathbb {D}\)(G/H)-finies sur un espace symétrique réductif. (\(\mathbb {D}\)(G/H)-finite functions on a reductive symmetric space)