Let F be a non-Archimedean local field of characteristic zero. Let X be the p-adic symmetric space X = H\G, where G = GL2n(F) and H = GLn(F) ×GLn(F). We verify a conjecture of Sakellaridis and Venkatesh on the Langlands parameters of certain representations in the discrete spectrum of X.

中文翻译：

---

线性周期和显着的局部参数

让F是特征为零的非阿基米德局部场。让X成为p-adic 对称空间X = H\G， 在哪里G = G大号2n(F)和H = G大号n(F) ×G大号n(F). 我们验证了 Sakelaridis 和 Venkatesh 关于离散谱中某些表示的朗兰兹参数的猜想X.