On Bessel distributions for quasi-split groups

被引：12

作者：

Baruch, EM ^{[1
]}

机构：

[1] Weizmann Inst Sci, IL-76100 Rehovot, Israel

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 07期

关键词：

Bessel distributions; Bessel functions;

D O I：

10.1090/S0002-9947-01-02778-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2601 / 2614

页数：14

共 24 条

[1]

Arthur J., 1989, ANN MATH STUDIES, V120

[2] On bessel distributions for GL2 over a p-adic field [J].