表示的渐近K-支撑与限制
Asymptotic K-Support and Restrictions of Representations
摘要：
90年代末，T。小林写了一系列文件，他在其中建立了一个标准的离散分解的限制酉表示的减少李群，以减少分组。在证明他的准则的充分性的一个关键工具是使用超函数理论来研究紧子群的限制特征的微局部行为。在本文中，我们将展示如何取代这个工具的微观局部分析的$C^\infty$类别。
英文摘要：
In the late nineties T. Kobayashi wrote a series of papers in which he established a criterion for the discrete decomposablity of restrictions of unitary representations of reductive Lie groups to reductive subgroups. A key tool in the proof of sufficiency of his criterion was the use of the theory of hyperfunctions to study the microlocal behavior of characters of restrictions to compact subgroups. In this paper we show how to replace this tool by microlocal analysis in the $C^\infty$ category.
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