Geodesic
The Bounded Spherical Functions on the Free Two-Step Nilpotent Lie Group
Journal of Lie theory, Tome 16 (2006) no. 2, pp. 351-37.

Voir la notice de l'article provenant de la source Heldermann Verlag

We give the expressions for the bounded spherical functions, or equivalently the spherical functions of positive type, for the free two-step nilpotent Lie groups endowed with the actions of orthogonal groups or their special subgroups. Next we deduce some results about the (Kohn) sub-Laplacian, and we compute the radial Plancherel measure.
Classification : 22E30, 22E25, 22E27
Mots-clés : Nilpotent Lie group, representation theory, spherical function, Gelfand pair 
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     title = {The {Bounded} {Spherical} {Functions} on the {Free} {Two-Step} {Nilpotent} {Lie} {Group}},
     journal = {Journal of Lie theory},
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     year = {2006},
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V. Fischer . The Bounded Spherical Functions on the Free Two-Step Nilpotent Lie Group. Journal of Lie theory, Tome 16 (2006) no. 2, pp. 351-37. http://geodesic.mathdoc.fr/item/JLT_2006_16_2_JLT_2006_16_2_a8/