A distribution estimate for the representing measures of Dunkl’s intertwining operator is proved, by which some lower estimates sharper in some senses than those known for the Dunkl kernel, the associated heat kernel, and the associated Poisson kernel are obtained. We also prove some distribution estimates for the representing measures of the Dunkl-type generalized translation of radial functions.

中文翻译：

---

关于Dunkl交织算子的表示测度

证明了 Dunkl 交织算子的表示度量的分布估计，由此获得在某些意义上比 Dunkl 核、相关联的热核和相关联的 Poisson 核更清晰的一些较低的估计。我们还证明了径向函数的 Dunkl 型广义平移的表示度量的一些分布估计。