Journal of Lie Theory

no. 3
Cartan-Helgason Theorem, Poisson Transform, and Furstenberg-Satake Compactifications
Journal of Lie Theory, Volume 19 (2009) no. 3, pp. 537-542
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.
DOI: 10.5802/jolt.568
Classification: 22E46, 53C35
Keywords: Cartan-Helgason Theorem, symmetric spaces, compactifications, Poisson transform 
@article{JOLT_2009_19_3_a6,
     author = {A. 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},
     doi = {10.5802/jolt.568},
     zbl = {1185.22009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.568/}
}
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A. Korányi. Cartan-Helgason Theorem, Poisson Transform, and Furstenberg-Satake Compactifications. Journal of Lie Theory, Volume 19 (2009) no. 3, pp. 537-542. doi: 10.5802/jolt.568

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