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Square integrability of representations on p-adic symmetric spaces
Authors:Shin-ichi Kato
Affiliation:a Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
b Department of Arts and Science, Akashi National College of Technology, 679-3 Nishioka, Uozumi-cho, Akashi 674-8501, Japan
Abstract:
A symmetric space analogue of Casselman's criterion for square integrability of representations of a p-adic group is established. It is described in terms of exponents of Jacquet modules along parabolic subgroups associated to the symmetric space.
Keywords:Square integrable representations   Discrete series   Distinguished representations   Reductive p-adic groups   Symmetric spaces
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