|
Journal of Lie Theory 19 (2009), No. 3, 537--542 Copyright Heldermann Verlag 2009 Cartan-Helgason Theorem, Poisson Transform, and Furstenberg-Satake Compactifications Adam Korányi Mathematics Department, H. H. Lehman College, Bronx, NY 10468, U.S.A. adam.koranyi@lehman.cuny.edu 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. Keywords: Cartan-Helgason Theorem, symmetric spaces, compactifications, Poisson transform. MSC: 22E46, 53C35 [ Fulltext-pdf (149 KB)] for subscribers only. |