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arXiv 1012.1884math.CAmath.RT
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自由二步幂零李群的有界球函数

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

Veronique Fischer

摘要:

本文给出了具有正交群或其特殊子群作用的自由二步幂零李群的有界球函数或等价的正型球函数的表达式.其次,我们推导了(Kohn)次拉普拉斯算子的一些结果,并计算了径向Plancherel测度。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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