Rad HAZU, Matematičke znanosti, Vol. 21 (2017), 29-52.

SOME RESULTS ON THE SCHWARTZ SPACE OF Γ \ G

Goran Muić

Department of Mathematics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia
e-mail: gmuic@math.hr

Abstract.   Let G be a connected semisimple Lie group with finite center. Let Γ ⊂ G be a discrete subgroup. We study closed admissible irreducible subrepresentations of the space of distributions S(Γ \ G)' defined by Casselman, and their relations to automorphic forms on Γ \ G when Γ is a congruence subgroup.

2010 Mathematics Subject Classification.   11E70, 22E50.

Key words and phrases.   Automorphic forms, Schwartz space, semisimple Lie groups.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/y54jof6pnm

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