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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.

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

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