ncku-talk2007-04-12

NCKU Math colloquium

DATE 2007-04-12　15:10-16:00

PLACE 數學館地下室演講廳

SPEAKER 燕敦驗（中國科學院，研究生院）

TITLE Singular integral transform of product functions and Bedrosian theorem

ABSTRACT We first give necessary and sufficient conditions which ensures validity of the Bedrosian identity for the Hilbert transform of product functions fg. Then we extend the Bedrosian identity for the Hilbert transform of product functions to Calderon-Zygmund singular integral transform.
A counterexample shows that sufficient conditions on one-dimensional Euclidean space does not ensure the validity of the Bedrosian for the n-dimensional case.

NCKU Math colloquium

DATE	2007-04-12　15:10-16:00

PLACE	數學館地下室演講廳

SPEAKER	燕敦驗（中國科學院，研究生院）

TITLE	Singular integral transform of product functions and Bedrosian theorem

ABSTRACT	We first give necessary and sufficient conditions which ensures validity of the Bedrosian identity for the Hilbert transform of product functions fg. Then we extend the Bedrosian identity for the Hilbert transform of product functions to Calderon-Zygmund singular integral transform. A counterexample shows that sufficient conditions on one-dimensional Euclidean space does not ensure the validity of the Bedrosian for the n-dimensional case.