论文标题
gelfand对复杂反射组
Gelfand Pairs of Complex Reflection Groups
论文作者
论文摘要
在本文中,将计算Gelfand Pair Pair $(g(r,d,n),s_n)$的Zonal球形函数的复杂反射组。此后,将给出具有球形函数的laplace oberot子的乘积公式,该函数将给出带有球形函数的特征函数。
In this article the zonal spherical functions of the Gelfand pair $(G(r,d,n), S_n)$ of complex reflection groups will be calculated. After this, a product formula for these spherical functions and a discrete analog of the Laplace operator which has the spherical functions as eigenfunctions will be given.