与对称群相关的缠绕算子与单位球面上的可和性
Intertwining operator associated to symmetric groups and summability on the unit sphere
摘要：
对于单分支函数类，导出了与对称群有关的Dunkl算子的缠绕算子的整表示。该表达式提供了一个封闭形式的公式的再生核$h$ -谐波相关的对称群时，其中一个组件是一个坐标向量。后者使我们能够建立单位球面上$h$ -调和级数的Cesàro可和性的一个精确结果。
英文摘要：
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.
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