In this paper, we give a precise definition of an analytic γ-factor of an irreducible representation of a classical group over a local function field of odd characteristic so that it satisfies some notable properties which are enough to define it uniquely. We use the doubling method to define the γ-factor, and the main theorem extends works of Lapid-Rallis, Gan, Yamana, and the author to a classical group over a local function field of odd characteristic.

中文翻译：

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函数域上经典群的局部倍增γ因子

在本文中，我们在奇特性的局部函数域上给出了经典群的不可约表示的解析γ因子的精确定义，以便它满足一些足以唯一定义它的显着性质。我们使用加倍方法来定义γ因子，主要定理将 Lapid-Rallis、Gan、Yamana 和作者的工作扩展到奇特性局部函数域上的经典群。