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Uniqueness and disjointness of Klyachko models
Authors:Omer Offen  Eitan Sayag
Affiliation:a Humboldt-Universität zu Berlin, Mathematich-Naturwissenschaftliche Fakultät II, Institut für Mathematik, Sitz: Rudower Chausee 25, D-10099 Berlin, Germany
b Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
Abstract:We show the uniqueness and disjointness of Klyachko models for GLn over a non-Archimedean local field. This completes, in particular, the study of Klyachko models on the unitary dual. Our local results imply a global rigidity property for the discrete automorphic spectrum of GLn.
Keywords:Multiplicity one theorem   Invariant distributions on l-spaces
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