On Bessel distributions for quasi-split groups
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- by Ehud Moshe Baruch PDF
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Abstract:
We show that the Bessel distribution attached by Gelfand and Kazhdan and by Shalika to a generic representation of a quasi-split reductive group over a local field is given by a function when it is restricted to the open Bruhat cell. As in the case of the character distribution, this function is real analytic for archimedean fields and locally constant for non-archimidean fields.References
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Additional Information
- Ehud Moshe Baruch
- Affiliation: Theoretical Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
- Address at time of publication: Department of Mathematics, University of California at Santa Cruz, Santa Cruz, California 95064
- Email: baruch@math.ucsc.edu
- Received by editor(s): November 14, 1998
- Received by editor(s) in revised form: July 7, 1999
- Published electronically: March 8, 2001
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 2601-2614
- MSC (2000): Primary 22E50; Secondary 11F70
- DOI: https://doi.org/10.1090/S0002-9947-01-02778-7
- MathSciNet review: 1828462