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Let $G$ be a connected semisimple Lie group with finite center. Let $\Gamma\subset G$ be a discrete subgroup. We study closed admissible irreduciblesubrepresentations of the space of distributions $\mathcal S(\Gamma \backslashG)'$ defined by Casselman, and their relations to automorphic forms.

Some Results on the Schwartz Space of $\Gamma\backslash G$