About the speaker:

 Tao Qian, PhD Peking University 1984. Researcher in Institute of Systems Science 1984-1986. Research Fellowship (Post-Doctoral) in Australia 1986-1992. Lecturer (English system) in New England University Australia 1992-1999. A/Prof, Prof, Head of Dept, Distinguished Prof in University of Macau 2000-2017. Working areas include harmonic, complex (one and several variables), quaternionic, Clifford, and signal analysis and applications. The emphasis is singular Integrals in various contexts. Published  so far around 190 publications including 150 journal research papers and 2 monograph type books among other types of books and book chapters. Received the 1st grade natural science award of Macao SAR In 2012 based on his studies in signal analysis.

Abstract：

 The talk will introduce a recently developed new Fourier expansion (transform) method called Adaptive Fourier Decomposition, abbreviated as AFD. AFD can be used to almost all practical signal and image analysis, as well as in system identification. It is an application of the theoretical complex Hardy space theory connecting three areas of analysis, viz., harmonic, complex and signal analysis. There exist counterpart theories for several real and complex variables with vector or matrix valued functions.