A WEAK KERNEL FORMULA FOR BESSEL FUNCTIONS

被引：1

作者：

Chai, Jingsong ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Bessel functions; Bessel distributions; weak kernel formula; LOCAL CONVERSE THEOREM; WALDSPURGER CORRESPONDENCE; DISTRIBUTIONS; REPRESENTATIONS; GL(N); IDENTITIES; GL(3);

D O I：

10.1090/tran/6884

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a weak kernel formula of Bessel functions attached to irreducible generic representations of p-adic GL(n). As an application, we show that the Bessel function defined by Bessel distribution coincides with the Bessel function defined via uniqueness of Whittaker models on the open Bruhat cell.

引用

页码：7139 / 7167

页数：29

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