NECESSARY AND SUFFICIENT CONDITIONSFOR THE BEDROSIAN IDENTITY

摘要

This paper focuses on necessary and suffi-cient conditions for the Bedrosian identity to be valid. Itextends the results of Brown (1986), Xu and Yan (2006) forL~2(R) functions. Meanwhile, the Bedrosian identity for peri-odic functions is also discussed and some necessary and suffi-cient conditions are obtained.