SL(2,R)上离散项消失的反演公式

Inversion Formula without Dicrete Terms on SL(2,R)

利用(m,n)-球函数的反演公式和逼近论的方法,给出了SL(2,R)上函数的反演公式中离散项消失的一个充分条件,并给出满足该条件的一类函数.

In this paper,we make use of the inversion formula of (m,n) spherical functions and the approximation method to obtain a sufficient condition on which the inversion formula of functions on SL(2,R) have not dicrete terms,and give a function class satifying the above condition.