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arXiv · 0903.1409

A general form of Gelfand-Kazhdan criterion

Binyong Sun·Chen-Bo Zhu
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Abstract

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.

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Binyong Sun, Chen-Bo Zhu. 2009-03-08. A general form of Gelfand-Kazhdan criterion. https://arxiv.org/abs/0903.1409

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