Whittaker functions for generalized principal series representations of GSp(2, R)

被引：0

作者：

Ishii, Taku ^{[1
]}

机构：

[1] Seikei Univ, Fac Sci & Technol, 3-3-1 Kichijoji Kitarnachi, Musashino, Tokyo 1808633, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 276卷 / 01期

基金：

日本学术振兴会;

关键词：

Whittaker functions; Automorphic forms; Generalized principal series; Archimedcan zeta integrals; GENERIC CUSP FORMS; SPINOR L-FUNCTIONS; SP(2;

D O I：

10.1016/j.jfa.2018.09.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Whittaker functions for generalized principal series representations of GSp(2, R) induced from Siegel parabolic subgroup. We give Mellin-Barnes type integral representations of Whittaker functions belonging to certain K-types. As an application of our explicit formulas, we compute the archimedean parts of Novodvorsky's zeta integrals. As a consequence we can show the entireness of the spinor L-functions for generic cusp forms on GSp(2). (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：284 / 327

页数：44

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