The Bedrosian identity for the Hilbert transform of product functions
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- by Yuesheng Xu and Dunyan Yan PDF
- Proc. Amer. Math. Soc. 134 (2006), 2719-2728 Request permission
Abstract:
We investigate a necessary and sufficient condition which ensures validity of the Bedrosian identity for the Hilbert transform of a product function $fg$. Convenient sufficient conditions are presented, which cover the classical Bedrosian theorem and provide us with new insightful information.References
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Additional Information
- Yuesheng Xu
- Affiliation: Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, New York 13244-1150 – and – Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
- MR Author ID: 214352
- Email: yxu06@syr.edu
- Dunyan Yan
- Affiliation: School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
- Email: ydunyan@amss.ac.cn
- Received by editor(s): January 24, 2005
- Received by editor(s) in revised form: April 11, 2005
- Published electronically: March 23, 2006
- Additional Notes: The first author was supported in part by the US National Science Foundation under grant 0407476, by the Natural Science Foundation of China under grant 10371122 and by the Chinese Academy of Sciences under the program “One Hundred Distinguished Young Chinese Scientists”.
- Communicated by: David R. Larson
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2719-2728
- MSC (2000): Primary 65R10
- DOI: https://doi.org/10.1090/S0002-9939-06-08315-8
- MathSciNet review: 2213752