论文标题
正规期和全球gan-gross-prasad猜想：$ u（n+2r）\ times u（n）$的情况
Regularized Periods and the global Gan-Gross-Prasad conjecture : The case of $U(n+2r) \times U(n)$
论文作者
论文摘要
在本文中，我们在某些非还原群体上介绍了正规化的三线性周期。它有两个直接应用程序。首先，它使我们能够为所有经典和元素组定义正规化的贝塞尔周期和正规傅里叶 - 雅各比时期。其次，通过使用正则化傅里叶雅各比时期的特性，我们可以证明在偏斜的统一组上gan-gross-prosasad猜想的一个方向。
In this paper, we introduce regularized trilinear periods on certain non-reductive groups. It has two direct applications. Firstly, it enables us to define the regularized Bessel periods and the regularized Fourier-Jacobi periods for all classical and metaplectic groups. Secondly, by using the properties of the regularized Fourier-Jacobi periods, we can prove one direction of the full Gan-Gross-Prasad conjecture on skew-hermitian unitary groups.
