标题： 齐次空间上系数的指数衰减率 显示英文标题

标题： On the rate of exponential decay of coefficients on homogeneous spaces

摘要： 对于实半单代数群 $G$的任何齐次空间，我们定义一个指数，该指数在表示论和群论中有多种解释。 作为应用，我们给出了 $L^2 (G/H)$对于任何闭子群 $H$的温和性准则，其中 $G$，这扩展了 Benoist-Kobayashi 对连通子群的现有结果以及 Lutsko-Weich-Wolf 对离散子群的现有结果。 显示英文摘要

摘要： For any homogeneous space of a real semisimple algebraic group $G$, we define an exponent with multiple interpretations from representation theory and group theory. As an application, we give a temperedness criterion for $L^2 (G/H)$ for any closed subgroup $H$ of $G$, which extends the existing ones of Benoist-Kobayashi for connected subgroups and Lutsko-Weich-Wolf for discrete subgroups.