scientific article

zbMath1049.22004arXivmath/0104050MaRDI QIDQ2761193

Henrik Schlichtkrull, Erik P. van den Ban

Publication date: 17 December 2001

Full work available at URL: https://arxiv.org/abs/math/0104050

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (3)

Paley-Wiener spaces for real reductive Lie groups ⋮ The Plancherel decomposition for a reductive symmetric space. I: Spherical functions ⋮ The Plancherel decomposition for a reductive symmetric space. II: Representation theory

Cites Work

• Asymptotic behavior of matrix coefficients of admissible representations
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• Plancherel formula for reductive symmetric spaces
• Eigenspaces of invariant differential operators on an affine symmetric space
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations
• Eigenfunctions of invariant differential operators on a symmetric space
• The most continuous part of the Plancherel decomposition for a reductive symmetric space
• Expansions for Eisenstein integrals on semisimple symmetric spaces
• Fourier transforms on a semisimple symmetric space
• Fourier inversion on a reductive symmetric space
• The principal series for a reductive symmetric space. II: Eisenstein integrals
• Eisenstein integrals for reductive symmetric spaces: Temperedness, majorations. Small \(B\)-matrix
• A Paley-Wiener theorem for reductive symmetric spaces
• Spherical transforms on semisimple Lie groups
• On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
• The Plancherel decomposition for a reductive symmetric space. II: Representation theory
• The principal series for a reductive symmetric space. I. $H$-fixed distribution vectors
• Spherical Functions on a Semisimple Lie Group, I
• On a Family of Distributions Obtained from Eisenstein Series I: Application of the Paley-Wiener Theorem
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