研究了Hilbert变换 分布 Bedrosian等式可积函数与两类分布函数即多项式函数和指数函数乘积的Hilbert变换,分别得到了Bedrosian等式成立的充分条件及充要条件.
We investigate the Hilbert transform of the products of the integral functions and two classes of distribution: polynomial and exponential functions. A sufficient condition and a sufficient and necessary condition for the Bedrosian identity are presented.