Upper bounds for geodesic periods over rank one locally symmetric spaces
文献类型：期刊论文
| 作者 | Frahm, Jan1; Su, Feng2 |
| 刊名 | FORUM MATHEMATICUM
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 30期号:5页码:1065-1077 |
| 关键词 | Locally symmetric spaces automorphic forms geodesic periods totally geodesic cycles unitary representations reductive Lie groups |
| ISSN号 | 0933-7741 |
| DOI | 10.1515/forum-2017-0185 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000443231400001 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31146]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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