A duality for symmetric spaces with applications to group representations. III: Tangent space analysis
type: Item
instance of: scholarly article
title: A duality for symmetric spaces with applications to group representations. III: Tangent space analysis
zbMATH Open document ID: 0441.53040
DOI: 10.1016/0001-8708(80)90019-5
author: Sigurdur Helgason
published in: Advances in Mathematics
publication date: 1980-01-01T00:00:00Z
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 43A30
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 3688262
zbMATH Keywords: invariant differential operators
zbMATH Keywords: joint eigenspace representations
zbMATH Keywords: J- polynomials
zbMATH Keywords: K-finite functions
zbMATH Keywords: Fourier-transform
MaRDI profile type: Publication
full work available at URL: 0001-8708(80)90019-5
OpenAlex ID: W1980743407
cites work: Invariants of Finite Groups Generated by Reflections
cites work: Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
cites work: Q5576181
cites work: Fonctions composees différentiables
cites work: A Theory of Spherical Functions. I
cites work: Bessel functions and representation theory. I
cites work: Differential Operators on a Semisimple Lie Algebra
cites work: Q5734920
cites work: Fundamental Solutions of Invariant Differential Operators on Symmetric Spaces
cites work: Totally geodesic spheres in compact symmetric spaces
cites work: A duality for symmetric spaces with applications to group representations
cites work: The surjectivity of invariant differential operators on symmetric spaces. I
cites work: A formula for the radial part of the Laplace-Beltrami operator
cites work: A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations
cites work: Q5557257
cites work: Q5552857
cites work: Lie Group Representations on Polynomial Rings
cites work: Q4092184
cites work: Orbits and Representations Associated with Symmetric Spaces
cites work: Induced representation of locally compact groups. I
cites work: Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
cites work: Representation of complex semi-simple Lie groups and Lie algebras
cites work: Q5528072
cites work: Smooth functions invariant under the action of a compact Lie group
cites work: Le théorème de Paley-Wiener pour l'espace des fonctions indefiniment différentiable et à support compact sur un espace symétrique de type non-compact
cites work: Q3844537
cites work: Q5682518
cites work: Eigenspaces of invariant differential operators on an affine symmetric space
description: scientific article; zbMATH DE number 3688262