On representations distinguished by unitary groups

被引：44

作者：

Feigon, Brooke ^{[1
]}

Lapid, Erez ^{[2
]}

Offen, Omer ^{[3
]}

机构：

[1] CUNY City Coll, Dept Math, New York, NY 10031 USA

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[3] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

PUBLICATIONS MATHEMATIQUES DE L IHES | 2012年 / 115期

基金：

美国国家科学基金会; 以色列科学基金会;

关键词：

RELATIVE KLOOSTERMAN INTEGRALS; INVARIANT DISTRIBUTION VECTORS; GENERALIZED PRINCIPAL SERIES; REDUCTIVE SYMMETRICAL SPACES; SUPERCUSPIDAL REPRESENTATIONS; FUNDAMENTAL LEMMA; TRACE FORMULA; BASE CHANGE; IRREDUCIBLE REPRESENTATIONS; PLANCHEREL MEASURES;

D O I：

10.1007/s10240-012-0040-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E/F be a quadratic extension of number fields. We study periods and regularized periods of cusp forms and Eisenstein series on over a unitary group of a Hermitian form with respect to E/F. We provide factorization for these periods into locally defined functionals, express these factors in terms of suitably defined local periods and characterize global distinction. We also study in detail the analogous local question and analyze the space of invariant linear forms under a unitary group.

引用

页码：185 / 323

页数：139

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