与根系相关的特殊函数研究进展
Special functions associated with root systems: recent progress
摘要：
本文对与根系有关的特殊函数的作用区域作了简要的综述。这篇文章是为一般数学读者准备的。它不会假设特殊函数或根系上存在先决条件。它还将跳过许多技术细节。作者[17]和Sprinkhuizen [32]在这方面做了一些早期工作（根系BC_2和A_2）。在过去的十年里，Heckman和Opdam [11]，[27]，[28]，[12]，Macdonald [23]，[24]，Dunkl [8]和Cherednik [3]，[4]，[5]取得了重要的突破。
英文摘要：
In this paper I present a brief survey of the active area of Special Functions associated with Root Systems. The article is intended for a general mathematical audience. It will not suppose prerequisites on either special functions or root systems. It will also skip many technical details. Some early work in this area (root systems BC_2 and A_2) was done by the author [17] and Sprinkhuizen [32]. During the last ten years important breakthroughs were made by Heckman and Opdam [11], [27], [28], [12], Macdonald [23], [24], Dunkl [8] and Cherednik [3], [4], [5].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
