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

Пт, 12/10/2010 - 16:01 — SomNambul
Authors: Veronique Fischer
Subjects: Classical Analysis and ODEs
link: http://arxiv.org/abs/1012.1884
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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