Bessel functions and Kloosterman integrals on GL(n)

被引：0
|
作者：
Miao, Xinchen [1 ]
机构：
[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 04期
关键词：
Bessel functions; Kloosterman sums; Local orbital integrals; Relative Shalika germs; POINCARE-SERIES; DISTRIBUTIONS; FORMULA; SUMS; REPRESENTATIONS; GL(3);
D O I：
10.1016/j.jfa.2023.110267
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper will focus on the proof of local integrability of Bessel functions for GL(n) (p-adic case) by using the relations between Bessel functions and local Kloosterman (orbital) integrals proved in several papers of E. M. Baruch [5] [6] [7], the theory of the (relative) Shalika germs established by H. Jacquet and Y. Ye in [25] [26] and G. Stevens' approach [35] on estimating certain GL(n) generalized Kloosterman sums. (c) 2023 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
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页数：62
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