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arXiv · 1012.1884

The bounded spherical functions for the free two step nilpotent Lie group

Veronique Fischer
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Abstract

In this paper, 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.

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Veronique Fischer. 2010-12-08. The bounded spherical functions for the free two step nilpotent Lie group. https://arxiv.org/abs/1012.1884

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