The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space

DOI10.1016/S0019-3577(97)81814-9zbMath0914.22018OpenAlexW2138233975MaRDI QIDQ1382957

Erik P. van den Ban

Publication date: 5 May 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(97)81814-9

zbMATH Keywords

intertwining operatorunitary representationreal semisimple Lie groupPlancherel decomposition

Mathematics Subject Classification ID

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

Related Items (4)

On the inversion of the Laplace and Abel transforms for causal 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

Cites Work

• Hyperfunctions and harmonic analysis on symmetric spaces
• Eigenspaces of invariant differential operators on an affine symmetric space
• Intertwining operators for semisimple groups. II
• The fundamental group of a real flag manifold
• The most continuous part of the Plancherel decomposition for a reductive symmetric space
• Fourier transforms on a semisimple symmetric space
• The principal series for a reductive symmetric space. II: Eisenstein integrals
• The principal series for a reductive symmetric space. I. $H$-fixed distribution vectors
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