Upper bounds for geodesic periods over rank one locally symmetric spaces

doi:10.1515/forum-2017-0185

CSpace

	Upper bounds for geodesic periods over rank one locally symmetric spaces
	Frahm, Jan 1; Su, Feng 2
	2018-09-01
发表期刊	FORUM MATHEMATICUM
ISSN	0933-7741
卷号	30 期号:5 页码:1065-1077
摘要	We prove upper bounds for geodesic periods of automorphic forms over general rank one locally symmetric spaces. Such periods are integrals of automorphic forms restricted to special totally geodesic cycles of the ambient manifold and twisted with automorphic forms on the cycles. The upper bounds are in terms of the Laplace eigenvalues of the two automorphic forms, and they generalize previous results for real hyperbolic manifolds to the context of all rank one locally symmetric spaces.
关键词	Locally symmetric spaces automorphic forms geodesic periods totally geodesic cycles unitary representations reductive Lie groups
DOI	10.1515/forum-2017-0185
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000443231400001
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31147
专题	中国科学院数学与系统科学研究院
通讯作者	Frahm, Jan
作者单位	1.Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany 2.Chinese Acad Sci, Inst Math, AMSS, Zhongguancun East Rd 55, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Frahm, Jan,Su, Feng. Upper bounds for geodesic periods over rank one locally symmetric spaces[J]. FORUM MATHEMATICUM,2018,30(5):1065-1077.
APA	Frahm, Jan,&Su, Feng.(2018).Upper bounds for geodesic periods over rank one locally symmetric spaces.FORUM MATHEMATICUM,30(5),1065-1077.
MLA	Frahm, Jan,et al."Upper bounds for geodesic periods over rank one locally symmetric spaces".FORUM MATHEMATICUM 30.5(2018):1065-1077.