Tao QIAN  錢濤
Distinguished Professor

Academic Qualifications | AFDs Algorithm Code Release | Google Scholar Address | Working Experience | Teaching | Honorary Positions | International Journal Editorial Board Positions | Mathematical Conference Organization | Research | Publications (Summary) | Professional Affiliations | Contact Details

Academic Qualifications
Google Scholar Address
Working Experience

  • 08/2013 -
Distinguished Professor, University of Macau
  • 2003 - 2012
Full Professor, University of Macau
  • 2005 - 2011
Head of Dept of Math, Full Professor ,University of Macau
  • 2000 - 2002
Associate Professor, University of Macau
  • 1992--2000
Senior Lecturer, Lecturer (English system) , University of New England, Australia
  • 1988--1992
Research Fellow, Flinders University of South Australia, Australia
  • 1986--1988
Research Fellow, Macquarie University, Australia
  • 1984--1986  
Research Fellow, Institute of Systems Sciences, the Chinese Academy of Sciences


Teaching

B.Sc. Courses

M.Sc. Courses

University and Faculty/Unit Service (Position Held, Dates, etc.)


Honorary Positions


International Journal Editorial Board Positions


Mathematical Conference Organization


Research

Research Interests

Major Research Grants Obtained From My Working Institutions (1 MOP is approximately equal to 1 HKD)

Active Research Grants are with blue color

Research Grants Obtained Outside My Affiliation Universities

  1. D.A.A.D. the German Research Foundation, Research Stay for Professor (3 months), 2009.
  2. Joint with Z-J. Lou, NNSF of China (grant no. 10771130), 2008 – 2010:  Harmonic Analysis in Hardy-Sobolev Spaces.
  3. Joint with X-M. Li, Guangdong Province Natural Science Foundation 030497, 2003 – 2005: Octonions Analysis.
  4. Conference Grant for the ICM Satellite Conference on Clifford Analysis, August, 2002, by the Guangdong New Oasis Life Science and Technology Co., Ltd.
  5. Conference Grant for the ICM Satellite Conference on Clifford Analysis, August, 2002, by the Chinese Mathematical Society. Representing UM I was the sole organizer.
  6. Research funding provided by the Foundation of Special Fund for Scientific Research, Belgium for my visit to Ghent Univ. for four months in 1999 to 2000 (invited by R. Delanghe, F. Brackx and F. Sommen, Clifford analysis).
  7. Programme of the Swedish Foundation for International Cooperation in Research and High Education (STINT). The period is for maximum nine months. The host institutions are Chalmers Univ of Technology and the Univ of G¨oteborg (invited by Peter Sj¨ogren, potential theory and harmonic analysis)
  8. “Transfer of Knowledge Through Expatriate National” supported by the United Nations Development Program. The assignment is for one month (July 1998) in Beijing. The host institute is the Mathematical Institute of the Chinese Academy of Sciences. (Through X-H. Ji, partial differential equations)
  9. A grant from the Chinese Science Foundation based on a joint research project between Prof Tongde Zhong and myself to cover Zhong’s travelling expenses (from China) to visit UNE in August 1998 (T-D. Zhong: several complex variables)
  10. A grant from the DFG the German Research Society based on a joint research project with Prof Wolfgang Spr¨ossig to cover Wolfgang’s travelling expenses (from Germany) to visit UNE in December 1997 and January 1998
  11. A grant from the German Foundation D.A.A.D. to support my visit to Kiel Univ. in Nov and Dec 1996 (invited by D. M¨uller, harmonic analysis)
  12. Support from the German Volkswagen-Foundation to cover full travel (Armidale-Seiffen-Armidale) and living expenses to attend Symposium on Analytical and Numerical Methods in Quaternionic and Clifford Analysis as a plenary speaker in Seiffen, Germany, June 1996 (invited by W. Spr¨ossig)
  13. NSF (USA) to support my visit to the Univ. of Illinois at Urbana-Champaign for two months in 1996 (invited by D. Burkholder, probability and stochastic processes)
  14. A research grant of the Netherlands Science Foundation to support my visit to Delft Univ. of Technology for one month in 1993 (invited by Ben de Pagter, functional analysis)
  15. Swedish researches grant to support my visit to Chalmers Univ. of Technology and Univ. of G¨oteborg for one month in 1990 (invited by P. Sj¨ogren, potential theory and harmonic analysis).
  16. Research grant of Swedish Science Foundation to support my visit to Mittag-Leffler Institute and the Univ. of Stockholm for two months in 1990 (invited by Jaak Peetre, at the occasion Special Year of Harmonic Analysis)
  17. NSF (U.S.A.) to support my visit to Univ. of Chicago for three months in 1987 (invited by C. Kenig, harmonic analysis and partial differential equations)

Summary on Academic Visiting and Delivering Lectures in Mathematical Institutions

Australia: Austria: Belgium: China P.R.: An incomplete list includes Czech Republic: Finland: France: Germany: Hong Kong: Italy: The Netherland: New Zealand: Norway: Poland: Portugal: Sweden: USA:

Academic Visitors Invited Supported By My Research Grants (Incomplete list):

Australia: Belgium: Canada: China P.R.: Finland: France: Germany: Hong Kong: Portugal: Sweden: The Netherland: Taiwan: USA:

Awards

Keynote and Plenary Speaker Financially Supported By Conferences

Ph.D. students and their thesis topics:

Master students and their thesis topics:

Post-doctoral and Research Associate Fellows and their Major Research Areas

  1. Yan Yang (2009, 2010): Hyper-complex and Clifford Analysis
  2. Lihui. Tan (2010, 2011,2012): Complex and Signal Analysis
  3. Pengtao Li (2009, 2010): Harmonic and Clifford Analysis
  4. Zhihua Du (2010, 2011): Analytic Boundary Value Problems
  5. Hong Li (2010, 2011): Algorithm of Adaptive Fourier Decomposition
  6. Youfa Lee (2011): Wavelet, Frame and AFD
  7. Qiuhui Chen (2012): Wavelet and Signal Analysis
  8. Xing-Di Chen (2012): Quasi-conformal Mapping
  9. Guan-Tie Deng (2012, 2013): Analytic Signals, Hardy spaces 0<p<1, Hardy spaces on Tubes, Uncertainty Principles

AFD (Adaptive Fourier Decomposition) Algorithm Code Release

Click here for the agreement to obtain the code of our adaptive Fourier decompositions.

Introduction: AFD is a new decomposition model that decomposes a given signal/function into a sum of mono-components (signals of non-negative analytic phase derivative) with fast convergence in energy. Iteration based on AFD gives rise to a conditional solution of the n-best rational approximation: a long standing open algorithm problem.


Publications (Summary)

Refereed Journal Papers 164
Refereed Edited Books and Journal Special Issues 9
Refereed Book Chapters 12
Refereed Conference Proceedings 16
TOTALLY Published 201

Accepted and Published Refereed Journal papers

Articles with their titles in blue have links to their respective PDF files.

Books and Journal Special Issues Editor Book Chapters Conference Proceedings
Professional Affiliations
Contact Details

Faculty of Science and Technology
University of Macau, E11
Avenida da Universidade, Taipa,
Macau, China

Room: E11-3084, 3085
Telephone: (853) 8822-8547
Fax: (853) 8822-2426
Email: fsttq, tqian1958@gmail.com