共 11 条
Orbital integrals on GLn x GLn\GL2n
被引:0
|作者:
Xue, Hang
[1
]
机构:
[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
来源:
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
|
2021年
基金:
美国国家科学基金会;
关键词:
orbital integral;
spherical characters;
symmetric spaces;
CHARACTERS;
D O I:
10.4153/S000841X21000122
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We study harmonic analysis on the symmetric space GL(n) x GL(n)\GL(2)(n). We prove several standard results, e.g. Shalika germ expansion of orbital integrals, representability of the Fourier transform of orbital integrals and representability of spherical characters. These properties are not expected to hold for symmetric spaces in general.
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