Cartan-Helgason Theorem, Poisson Transform, and Furstenberg-Satake Compactifications
Journal of Lie Theory, Tome 19 (2009) no. 3, pp. 537-542
Voir la notice de l'article provenant de la source Heldermann Verlag
The connections between the objects mentioned in the title are used to give a short proof of the Cartan--Helgason theorem and a natural construction of the compactifications.
Classification :
22E46, 53C35
Mots-clés : Cartan-Helgason Theorem, symmetric spaces, compactifications, Poisson transform
Mots-clés : Cartan-Helgason Theorem, symmetric spaces, compactifications, Poisson transform
Affiliations des auteurs :
Adam Korányi  1
Adam Korányi. Cartan-Helgason Theorem, Poisson Transform, and Furstenberg-Satake Compactifications. Journal of Lie Theory, Tome 19 (2009) no. 3, pp. 537-542. http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a6/
@article{JOLT_2009_19_3_a6,
author = {Adam Kor\'anyi},
title = {Cartan-Helgason {Theorem,} {Poisson} {Transform,} and {Furstenberg-Satake} {Compactifications}},
journal = {Journal of Lie Theory},
pages = {537--542},
year = {2009},
volume = {19},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a6/}
}