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arXiv · 0905.1009

Asymptotic K-Support and Restrictions of Representations

Soenke Hansen·Joachim Hilgert·Sameh Keliny
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Abstract

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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Soenke Hansen, Joachim Hilgert, Sameh Keliny. 2009-05-07. Asymptotic K-Support and Restrictions of Representations. https://arxiv.org/abs/0905.1009

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