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Upper bounds for geodesic periods over rank one locally symmetric spaces
Frahm, Jan1; Su, Feng2
2018-09-01
Source PublicationFORUM MATHEMATICUM
ISSN0933-7741
Volume30Issue:5Pages:1065-1077
AbstractWe 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.
KeywordLocally symmetric spaces automorphic forms geodesic periods totally geodesic cycles unitary representations reductive Lie groups
DOI10.1515/forum-2017-0185
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000443231400001
PublisherWALTER DE GRUYTER GMBH
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31147
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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