论文标题
与对称组相关的操作员的交织，并在单位球体上的总结性
Intertwining operator associated to symmetric groups and summability on the unit sphere
论文作者
论文摘要
与对称组相关的DUNKL运算符的相互交织运算符的积分表示是为单个组件的函数类得出的。该表达式为与对称组相关的$ h $ harmonics的复制核提供了一个封闭的表单公式，而其中一个组件是坐标向量。后者使我们能够为单位球体上$ h $ harmonic系列的CESàRO总结性建立一个鲜明的结果。
An integral representation of the intertwining operator for the Dunkl operators associated with symmetric groups is derived for the class of functions of a single component. The expression provides a closed form formula for the reproducing kernels of $h$-harmonics associated with symmetric groups when one of the components is a coordinate vector. The latter allows us to establish a sharp result for the Cesàro summability of $h$-harmonic series on the unit sphere.
