收稿日期: 2008-11-07
修回日期: 2009-02-19
网络出版日期: 2009-07-15
基金资助
国家自然科学基金(10631080)和北京市自然科学基金(1092004)资助
Bedrosian identity for two classes of distribution
Received date: 2008-11-07
Revised date: 2009-02-19
Online published: 2009-07-15
研究了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.
关键词： Hilbert变换; 分布; Bedrosian等式
童正卿 , 王蕊 , 燕敦验 . 两类分布函数的Bedrosian等式[J]. 中国科学院大学学报, 2009 , 26(4) : 433 -437 . DOI: 10.7523/j.issn.2095-6134.2009.4.001
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.
Key words： Hilbert transform; distribution; Bedrosian identity
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