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

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

2010-12-08

arxiv.org/abs/1012.1884v1

J. Lie Theory, 16(2):351-370, 2006

Mathematics

Classical Analysis and ODEs

Published in 2006

Scientific paper

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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