Eisenstein integrals for reductive symmetric spaces: Temperedness, majorations. Small \(B\)-matrix

DOI10.1006/jfan.1996.0035zbMath0865.43010OpenAlexW2006727414MaRDI QIDQ1911514

Patrick Delorme

Publication date: 16 June 1997

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.0035

zbMATH Keywords

reductive symmetric spaceEisenstein integraltemperednessintermediate series representations

Mathematics Subject Classification ID

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

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Constant term of Eisenstein integrals on a reductive 𝑝-adic symmetric space ⋮ Schwartz space for the hypergeometric Fourier transform. (With an appendix by Mustapha Tinfou) ⋮ Truncation for reductive symmetric spaces ⋮ Unnamed Item ⋮ Normalizations of Eisenstein integrals for reductive symmetric spaces ⋮ Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms ⋮ Filtration of certain spaces of functions on a reductive symmetric space ⋮ ``Generalized Schur orthogonality relations for reductive symmetric spaces ⋮ Fourier inversion on a reductive symmetric space ⋮ The Plancherel decomposition for a reductive symmetric space. I: Spherical functions ⋮ The Plancherel decomposition for a reductive symmetric space. II: Representation theory ⋮ Fonctions \(\mathbb {D}\)(G/H)-finies sur un espace symétrique réductif. (\(\mathbb {D}\)(G/H)-finite functions on a reductive symmetric space)

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