A general form of Gelfand–Kazhdan criterion
A general form of Gelfand–Kazhdan criterion
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DOI：
10.1007/s00229-011-0437-x
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发表时间：
2009-03
影响因子：
0.6
通讯作者：
Binyong Sun;Chengru Zhu
中科院分区：
文献类型：
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作者：
Binyong Sun;Chengru Zhu
我们形式化的概念，矩阵系数的分布向量表示的真实的约化群，其中包括广义函数的组。作为应用，我们陈述并证明了在非常一般的背景下真实的约化群的Gelfand-Kazhdan准则。
We formalize the notion of matrix coefficients for distributional vectors in a representation of a real reductive group, which consist of generalized functions on the group. As an application, we state and prove a Gelfand–Kazhdan criterion for a real reductive group in very general settings.