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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Sun, B., Zhu, CB. A general form of Gelfand–Kazhdan criterion. manuscripta math. 136, 185–197 (2011). https://doi.org/10.1007/s00229-011-0437-x
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DOI: https://doi.org/10.1007/s00229-011-0437-x