The Bedrosian identity for the Hilbert transform of product functions

By Yuesheng Xu, Dunyan Yan. 2006

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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.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/587014b47568c683393f59715bcf59069759ebc5