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中国科学院大学学报 ›› 2009, Vol. 26 ›› Issue (4): 433-437.DOI: 10.7523/j.issn.2095-6134.2009.4.001

• 论文 •    下一篇

两类分布函数的Bedrosian等式

童正卿, 王蕊, 燕敦验   

  1. 中国科学院研究生院, 北京 100190
  • 收稿日期:2008-11-07 修回日期:2009-02-19 发布日期:2009-07-15
  • 通讯作者: 燕敦验
  • 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

TONG Zheng-Qing, WANG Rui, YAN Dun-Yan   

  1. Graduate University of the Chinese Academy of Sciences, Beijing 100190,China
  • Received:2008-11-07 Revised:2009-02-19 Published:2009-07-15

摘要:

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

Abstract:

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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