On Bessel distributions for quasi-split groups-Reference-Cited by-同舟云学术

On Bessel distributions for quasi-split groups

Published:2001-03-08 Issue:7 Volume:353 Page:2601-2614
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Baruch Ehud

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2001-353-07/S0002-9947-01-02778-7/S0002-9947-01-02778-7.pdf

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