@article{fba385d943b044faa1e1cc81682c1ecb,
title = "Uniqueness and disjointness of Klyachko models",
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 = "Invariant distributions on l-spaces, Multiplicity one theorem",
author = "Omer Offen and Eitan Sayag",
note = "Funding Information: We wish to thank the Weizmann Institute of Science where this work was initiated and the Hausdorff Research Institute for Mathematics (HIM) in Bonn where this work was completed. We further thank Prof. Joseph Bernstein for his insight regarding uniqueness theorems and Prof. Erez Lapid for his insistence that an elementary proof is within reach. During the preparation of this work the second named author was supported by the Ann Stone Postdoctoral Fellowship, the Clore Postdoctoral Fellowship at the Weizmann Institute and BSF grant # 2004200.",
year = "2008",
month = jun,
day = "1",
doi = "10.1016/j.jfa.2008.01.004",
language = "English",
volume = "254",
pages = "2846--2865",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "11",
}