On the gamma factors attached to representations of U(2,1) over a p-adic field
On the gamma factors attached to representations of U(2,1) over a p-adic field
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DOI：
10.1007/bf02773805
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发表时间：
1997-01-01
影响因子：
1
通讯作者：
Baruch, EM
中科院分区：
文献类型：
--
作者：
Baruch, EM
本文完成了S. Gelbart和I. Piatetski-Shapiro在[G，PS，1]中提出的U（2,1）的Rankin-Selberg卷积的局部非阿基米德理论。此外，我们证明了因子的两个基本性质（定理6.3），这使我们能够给出U（2,1）的强多重性定理的一个新的证明。
In this paper we complete the local non-archimedean theory of Rankin-Selberg convolutions for U(2, 1) that was suggested by S. Gelbart and I. Piatetski-Shapiro in [G,PS,1]. In addition, we prove two fundamental properties of the gamma factors (Theorem 6.3) which allow us to give a new proof of a strong multiplicity one theorem for U(2, 1).