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The Bounded Spherical Functions on the Free Two-Step Nilpotent Lie Group
Journal of Lie theory, Tome 16 (2006) no. 2, pp. 351-37 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 
@article{JLT_2006_16_2_JLT_2006_16_2_a8,
     author = {V. Fischer },
     title = {The {Bounded} {Spherical} {Functions} on the {Free} {Two-Step} {Nilpotent} {Lie} {Group}},
     journal = {Journal of Lie theory},
     pages = {351--37},
     year = {2006},
     volume = {16},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_2_JLT_2006_16_2_a8/}
}
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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/