Let F be a non-archimedean local field of characteristic not equal to 2 and let E/F be a quadratic algebra. We prove the stability of local factors attached to irreducible admissible (complex) representations of GL(2,E) via the Rankin–Selberg method under highly ramified twists. This includes both the Asai as well as the Rankin–Selberg local factors attached to pairs. Our method relies on expressing the gamma factor as a Mellin transform using Bessel functions.

中文翻译：

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GL(2) 的 Asai 当地因素的稳定性

让F是特征不等于的非阿基米德局部场2然后让乙/F是一个二次代数。我们证明了与不可约可接纳（复）表示相关的局部因素的稳定性总帐(2,乙)通过 Rankin-Selberg 方法在高度分支的曲折下。这包括 Asai 以及附加到对的 Rankin-Selberg 局部因素。我们的方法依赖于使用贝塞尔函数将伽马因子表示为梅林变换。