Jacquet-Rallis迹线公式的特殊转换
Le transfert singulier pour la formule des traces de Jacquet-Rallis
摘要：
Jacquet-Rallis的相对迹公式（对于酉群或一般线性群）是自守表示和几何分布的周期之间的恒等式。本文证明了酉群的所有几何项与线性群的所有几何项之间的转换。我们还证明了所有的几何项都在局部正则半单轨道积分的弱闭包中。我们提到的应用甘格罗斯普拉萨德猜想的酉群。
英文摘要：
The relative trace formula of Jacquet-Rallis (for unitary groups or general linear groups) is an identity between periods of automorphic representations and geometric distributions. In this paper, we prove the transfer between all geometric terms of unitary groups and those of linear groups. We also show that all geometric terms are in the weak closure of local regular semi-simple orbital integrals. We mention an application to the Gan-Gross-Prasad conjecture for unitary groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
