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

Goran Mui\'c

arxiv: 1701.04495 · v1 · pith:LTM3QRSPnew · submitted 2017-01-17 · 🧮 math.NT · math.RT

Some Results on the Schwartz Space of Gammabackslash G

Goran Mui\'c This is my paper

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keywords gammabackslashspaceadmissibleautomorphiccasselmancenterclosed

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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 irreducible subrepresentations of the space of distributions $\mathcal S(\Gamma \backslash G)'$ defined by Casselman, and their relations to automorphic forms.

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Some Results on the Schwartz Space of Gammabackslash G

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