Qian Tao  錢濤 Professor Head of Department of Mathematics

• Ph.D. in Mathematics (Harmonic Analysis), Beijing University (1984)
• Master's degree, Beijing University (1981)

B.Sc. Courses

1. Complex Analysis (EDUC302)
2. Mathematical Analysis III (MATH200)
3. Mathematical Analysis IV (MATH201)
4. Mathematical Physics Methods (EDUC414)
5. Functional Analysis
6. Real Analysis

1. Mathematics Seminar (IMMT102)
2. Real Analysis (IMAT002)
3. Clifford Analysis (IMAT005)
4. Functional Analysis
5. Partial Differential Equations (IMAT010)
6. Topics in Partial Differential Equations (IMMT133)
7. Fourier Analysis
8. Advanced Mathematics (IMSE002)

Research Interests

• Harmonic Analysis in Euclidean Spaces
• Partial Differential Equations
• Clifford Analysis
• Complex Analysis of One and Several variables
• Time-Frequency Analysis
• Signal and Image Processing (Edge Detection)

Research Grants

Awards

• Research Award of Faculty of Science and Technology, University of Macau, 2007-2009
• Second Prize of the University of Macau Research Award, University of Macau, 2001
• Vice Chancellor’s Award for Excellency in Research, New England University, Australia, 2000

Invited Academic Visiting with Full or Partial Supports

1. Auburn University at Montgomery, USA (2009)
2. University at Albany, State University of New York, USA (2009)
3. Seminario Matematico e Fisico di Milano, Italy (2008)
4. Università degli Studi di Firenze, Italy (2008)
5. University of Helsinki, Finland (2007)
6. Tempare University of Technology, Finland (2006,2007)
7. The Chinese University of Hong Kong, Hong Kong (2001)
8. The University of Alabama, USA (2006)
9. Princeton University, USA (2006)
10. Aveiro University, Portugal (2003, 2006)
11. Ghent University, Belgium (2001, 2002, 2006)
12. The Univ. of New South Wales, Australia (1998)
13. The University of Auckland, New Zealand (1998)
14. Freiberg University, Chemnitz ,Germany (1996, 2007, 2008)
15. Charles University, Prague,Czech Republic (1996, 2007)
16. Kiel University, Germany (1996, 2007)
17. Banach Center, Poland (invitation, 1996)
18. Syracuse University New York, USA (1996, 2009)
19. University of Illinois at Urbana-Champaign, USA (1996)
20. Washington University at St Louis, USA (1994)
21. University of Arkansas, USA (1994)
22. Delft University of Technology , Netherland (1993)
23. Johannes Kepler University at Linz, Austria (1993)
24. Univ. of Göteborg ,Sweden (1992,1994,1999)
25. Chalmers University of Technology, Sweden (1992,1994,1999)
26. University of Stockholm, Sweden (1992)
27. Mittag- Leffler Institute (1992)
28. University of Chicago (1987)
29. Indiana University, USA (1987)
30. The Center for Mathematical Analysis
    The Australian National University, Australia (1987)

Keynote and Plenary Speaker in Conferences

• The 2^nd International conference on the Advances of Hilbert-Huang Transform and Its Applications,  Zhongshan University, Guangzhou, 2008
• The 16^th International Conference of Finite and Infinite Dimensional Complex Analysis and Applications, Gyeongju, Korea, 2008
• The 1^st International conference on the Advances of Hilbert-Huang Transform and Its Applications, Taoyuan, 2006
• International conference on Function Theories in Higher Dimensions, Tampere University of Technology, Finland, 2006
• The 4^th International conference in Wavelet Analysis and Applications, Macao, 2005
• Conference For Mathematical Achievements of Garth Gaudry, University of New South Wales, Australia, 2004
• The 6th International Conference on Clifford Algebras and their Applications, Cookeville, Tennessee, ISAAC, USA, 2002
• Satellite Conference on Clifford Analysis and Applications to ICM 2002, Macao.
• Symposium on Analysis and Numerical Methods in Clifford, Analysis-Theory and Applications, Seiffen, Germany, 1996

Honorary Positions

• Honorary Professor of Xiamen University 2001-current
• Honorary Professor of Wuhan University 2005-current

Mathematical Conference Organization

• Chair, The 18^th International Conference on Finite and Infinite Complex Analysis and Applications, University of Macau, 2010 (planned by the Advisory Committee of the conference series)
• Chair, Symposium on Hyper-Complex Analysis, activity of Silver Jubilee of UM, December, 2006
• General Chair, the 4th International Conference on Wavelet Analysis and Applications, 29th Nov to 2nd December, 2005, University of Macau
• Acting Chair, Satellite Conference to ICM2002
  (International Congress for Mathematicians, 2002, Beijing) on Clifford Analysis and its Applications, August, 2002, University of Macau

Publications (Summary)

Selected Publications

Journal papers ("*" means that the paper is in the latest SCI list).

• 2010

  *77.	[QW] Adaptive Decomposition Into Basic Signals of Non-negative Instantaneous Frequencies - A Variation and Realization of Greedy Algorithm, by T. Qian and Y. B. Wang, Advances in Computational Mathematics (AiCM ), 2010.
  *76.	[ZLQ] Fixed trace \beta-Hermite ensembles: Asymptotic Eigenvalue Density and the Edge of the Density,byD.S. Zhou, D.Z. Liu and T. Qian, J. Math. Phys. , DOI: 10.1063/1.3321578.

• 2009

  *75.	[LLQ] Discrete-Time Analytic Signals and Bedrosian Product Theorems, H. Li, L.Q. Li and T. Qian, accepted by Digital Signal Processing, reference: YDSPR 1010. DOI:10.1016/j.dsp.2009.11.002.
  74.	[QWD] Adaptive Decomposition Into Mono-Components, by T. Qian, Y. B. Wang and P. Dang, Advances in Adaptive Data Analysis, DOI No: 10.1142/S1793536909000278.
  *73.	[Q21] Intrinsic mono-component decomposition of functions: An advance of Fourier theory, by T. Qian, Mathematical Methods in Applied Sciences, (www.interscience.wiley.com) DOI: 10.1002/mma.1214.
  *72.	[YQ4] On sets of zeroes of Clifford algebra-valued polynomials, by Y. Yang and T. Qian, Acta Math Sinica, 2009.
  *71.	[QHLW] Adaptive decomposition of functions into pieces of non-negative instantaneous frequencies, byT. Qian, I. T. Ho, I. T. Leong, Y. B. Wang, International Journal of Wavelets, Multiresolution and Information Processing, May 25, 2009 12:20 WSPC/WS-IJWMIP ws-ijwmip.
  *70.	[DQY] Hardy-Sobolev spaces decomposition and applications in signal analysis, byP. Dang, T. Qian and Z. You, Journal of Fourier Analysis and Applications, 2009.
  69.	[CQ] Sampling theorem and multi-scale spectrum based on Fourier atom, by Q. H. Chen and T. Qian, Applicable Analysis, DOI: 10.1080/00036810903042240.
  *68.	[AKQ] Hilbert transforms and the Cauchy integral in Euclidean space, by A. Axelsson, K. I. Kou and T. Qian, Studia Mathematica, arXiv:0809.4128v3 [math.AP].
  *67.	[QWXZ] Orthonormal Bases with Nonlinear Phases, by T. Qian, R. Wang, Y. S. Xu and H. Z. Zhang, Advances in Computational Mathematics (AiCM ), DOI: 10.1007/s10444-009-9120-0.
  *66.	[GLQ] Two Integral Operators In Clifford Analysis, by Y. F Gong, I. T Leong and T. Qian, J. Math. Anal. Appl. 354 (2009) 435–444.DOI:10.1016/j.jmaa.2008.12.021.
  *65.	[QY] Hilbert Transforms on the Sphere With the Clifford Algebra Setting, by T. Qian and Y. Yang, Journal of Fourier Analysis and Applications, DOI: 10.1007/s00041-009-9062-4.
  *64.	[QXYYY] Fourier Spectrum Characterization of Hardy Spaces and Applications, by T. Qian, Y. S. Xu, D. Y. Yan, L. X. Yan and B. Yu, Proceedings of the American Mathematical Society, Volume 137, Number 3, March 2009, page 971-980. DOI:10.1090/S0002-9939-08-09544-0.
  *63.	[Q20] Boundary Derivatives of the Phases of Inner and Outer Functions and Applications, by T. Qian, Mathematical Methods in the Applied Sciences (Math. Meth. Appl. Sci., or Zeitschrift für Analysis and ihre Anwendungen) 2009; 32:253-263.DOI:10.1002/mma.1032.
  *62.	[FQ4] Pointwise convergence for expansions in spherical monigenics, by M. G. Fei and T. Qian, Acta Mathematica Scientia. 2009, 29B(5):1241-1250. DOI:10.1016/S0252-9602(09)60101-6.
  *61.	[FQ3] A note on pointwise convergence for expansions in surface harmonics of higher dimensional Euclidean spaces, by M. G. Fei and T. Qian, Taiwanese Journal of Mathematics June Issue of 2009.

• 2008

  *60.	[LPQ2] Cauchy integrals on Lipschitz surfaces in the octonionic space, by X. M. Li, L. Z. Peng and T. Qian, Math. Anal. Appl. 343(2008), 763-777. DOI:10.1016/j.jmaa.2008.01.079.
  *59.	[LPQ1] The Paley-Wiener Theorem in the non-commutative and non-associative octonions, by X. M. Li, L. Z. Peng and T. Qian, 中國科學 A輯 第38卷第6期, (2008) (English version has also appeared).
  *58.	[QZL] Mono-components vs. IMFs in signal decomposition, by T. Qian, L. M. Zhang and H. Li, International Journal of Wavelets, Multiresolution and Information Processing. Vol. 6, No. 3 (May 2008), 353-374. DOI:10.1142/S0219691308002392.

• 2007

  57.	[DQ] Half Dirichlet problems and decomposition of Posson kernels, by R. Delanghe and T. Qian, 17 (2007), 383-393, Advances in Applied Clifford Algebra. DOI:10.1007/s00006-007-0045-8.
  56.	[YQ3] Co-dimension-p Shannon sampling theorems, by Y. Yang and T. Qian, Complex Variables and Elliptic Equations, 52(1), 2007, 9-20. DOI:10.1080/17476930600784935.
  55.	[KQS2] Sampling in Bessel functions, by K. I. Kou, T. Qian and F. Sommen, Advances in applied Clifford Algebra, 17(3), 2007, 519-536. DOI:10.1007/s00006-007-0046-7.
  *54.	[ZQZ] Radon measure formulation for edge detection using rotational wavelets, by L. M. Zhang, T. Qian and Q. Y. Zeng, Communication on Pure and Applied Analysis , Vol 6, No. 3 (Sept, 2007). 899-915.
  *53.	[YQS] Co-dimension-p Paley-Wiener Theorem, by Y. Yang, T. Qian and F. Sommen, Ark. Mat., 45 (2007) 179-196. DOI:10.1007/s11512-006-0040-7.

• 2006

  *52.	[FQ2] Clifford algebra approach to pointwise convergence of Fourier series on spheres, by M. G.  Fei and T. Qian, Sciences of China, 49(11), 2006, 1553-1575. DOI:10.1007/s11425-006-2053-x.
  51.	[YQ2] Schwarz Lemma in Euclidean spaces, by Y. Yang and T. Qian, Complex Variables and Elliptic Equations, Vol. 51, No.7, July, 2006, 653-659. DOI:10.1080/17476930600688623.
  50.	[PQS] Generalizations of Fueter's theorem, by D. P. Peña, T. Qian and F. Sommen, Complex Var. Elliptic Equ. 51 (2006), no. 8-11, 913--922. DOI:10.1007/s00025-006-0226-0.
  *49.	[CLQ2] Two families of analytic signals with non-linear phase, by Q. H. Chen, L. Q. Li and T. Qian, Physica-D: Non-linear Phenomena, Vol. 221, 1-12, 2006. DOI:10.1016/j.physd.2006.06.013
  *48.	[FQ1] Direct Sum Decomposition of L^2(R^n_1) into Subspaces Invariant Under Fourier Transformation, by M. G. Fei and T. Qian, The Journal of Fourier Analysis and Applications, Volume 12, Issue 2, 2006, 145-155.
  *47.	[QC] Characterization of Analytic Phase Signals, by T. Qian and Q. H. Chen, Computers & Mathematics with Applications, Volume 51, 1471-1482, 2006. DOI:10.1016/j.camwa.2006.01.007
  46.	[YQ1] An elementary proof of Paley-Wiener Theorem in C^n using Clifford algebra, by Y. Yang and T. Qian, Complex Variables and Elliptic Equations, volume 51, number 5-6, 599-609. DOI: 10.1080/17476930500483224.
  *45.	[Q19] Mono-components for decomposition of signals, T. Qian, Mathematical Methods in the Applied Sciences (Zeitschrift für Analysis and ihre Anwendungen), 2006;29:1187-1198.
  *44.	[Q17] Analytic Signals and Harmonic Measures, T. Qian, J. Math. Anal. Appl. 314 (2006) 526-536. DOI:10.1016/j.jmaa.2005.04.003.

• 2005

  *43.	[CLQ1] Stability of frames generalized by nonlinearatoms, by Q. H. Chen, L. Q. Li and T. Qian, International Journal of Wavelets, Multiresolutionand Information Processing, Vol. 3, No. 4 (December 2005) 465-476.
  42.	[Q18] Characterization of boundary values of functions in Hardy spaces with applications in signal analysis, by T. Qian, Journal of Integral Equations and Applications, Volume 17, Number 2, Summer 2005, pp 159-198.
  *41.	[QCL] Analytic unit quadrature signals with non-linear phase, by T. Qian, Q. H. Chen and L.Q.  Li, Physica D: Nonlinear Phenomena, 303 (2005), 80-87. DOI:10.1016/j.physd.2005.03.005.
  *40.	[KQ3] Shannon Sampling in the Clifford Analysis Setting, by K.I.Kou and T. Qian, J. Math Anal. Appl., 24 No. 4, 825-842, (2005).
  *39.	[KQ2] Shannon sampling and estimation of band-limited functions in the several complex variables setting, by K.I.Kou and T. Qian, Acta Mathematica Scientia,25(4), 2005, 741-754.

• 2004

  38.	[GQD] The structure of solutions of polynomial Dirac equations in Clifford analysis, by Y. F. Gong, T. Qian and J. Y. Du, Complex Variables, vol. 49, No. 1, pp. 15-24, 15 January2004. DOI: 10.1080/02781070310001634593

• 2003

  *37.	[QS] Deriving harmonic functions in higher dimensional spaces, by T. Qian and F. Sommen, Zeitschrift für Analysis and ihre Anwendungen (Mathematical Methods in the Applied Sciences), Vol 22 (2003)2, 275-288.

• 2002

  *36.	[KQS1] Generalizations of Fueter's Theorem, by K. I. Kou, T. Qian and F. Sommen, Method and   Applications of Analysis, Vol. 9, No.2, pp. 273-290, June 2002. DOI: 10.1007/s00025-006-0226-0.
  *35.	[KQ1] The Paley-Wiener theorem in Rn with the Clifford analysis setting, by K. I. Kou and T. Qian, Journal of Functional Analysis, 189 227-241 (2002). DOI:10.1006/jfan.2001.3848.
  *34.	[Q16] Calderon-type reproducing formulae on Lipschitz curves and surfaces, by T. Qian, J. Austral. Math. Soc.  72 (2002),33-45. DOI:10.1017/S1446788700003566.
  33.	[QZ3] Hadamard principal value of higher order singularintegrals, by T. Qian and T. D. Zhong, The Chinese Annals of Mathematics, 23 A: 2 (2002), 205-212.

• 2001

  *32.	[Q15] Fourier analysis on starlike Lipschitz surfaces, by T. Qian, Journal of FunctionalAnalysis, 183, 370-412 (2001). DOI:10.1006/jfan.2001.3750.
  31.	[QY] The Schwarzian derivative in $\Bbb R^n$, by T. Qian, and Q. H. Yu, Adv. Appl. Clifford Algebras 11 (2001), no. S2, 257--268.
  *30.	[QZ2] The differential integral equations on smooth closedorientable manifolds, by T. Qian and T. D. Zhong, Acta Mathematica Sinica, 2001, vol 21, Series B, No.1, 1-8.

• 2000

  *29.	[QZ] Transformation formula of higher order singularintegrals on the complex hypersphere, by T. Qian and T. D. Zhong, Austral Math. Soc.,vol. 68, Part 2 (April 2000), 152-164. DOI:10.1017/S1446788700001919.
  *28.	[JQ] Poisson kernel of a degenerate elliptic equation,by X. H. Ji and T. Qian, Zeitschrift für Analysis and ihre Anwendungen (Mathematical Methods in the Applied Sciences),Vol. 23 (2000), pp 71-80. DOI:10.1023/A:1008670032431.

• 1999

  27.	[CQ] A class of singular integralson the n-complex unit sphere, by M. Cowling and T. Qian, Scientia Sinica (Series A), vol 42, No.12 (December 1999), 1233-1245.

• 1998

  26.	[LQ] Clifford martingale Phi-equivalence between S(f) and f* , by R. L. Long and T. Qian, Advances inApplied Clifford Algebras 8 No.1, 95-107 (1998). A Chinese summary appears in Chinese Ann. Math. Ser. A 15 (1994), no. 6, 744. Chinese Ann. Math. Ser. B 15 (1994), no. 4, 507--516.
  *25.	[Q14] Singular integrals on star-shaped Lipschitz surfaces in the quaternionicspace, by T. Qian, Mathematische Annalen, 310 (4) (April, 1998),601-630.

• 1997

  24.	[Q13] Generalization of Fueter's result to R^{n+1}, by T. Qian, Rend. Mat. Acc. Lincei, s.9, v.8 (1997) 111-117.
  23.	[Q12] A holomorphic extension result, by T. Qian, Complex Variables, vol 32(1)(1997), 59-77.
  *22.	[Q11] Singular integrals with holomorphic kernels and Fourier multipliers on star-shape Lipschitz curves, by T. Qian, Studia Mathematica, 123(3) (1997),195-216.

• 1996

  21.	[GQW] Boundedness of singular integrals with holomorphic kernels on star-shaped closed Lipschitz curves, by G. Gaudry, T. Qian and S. L. Wang, Colloq. Math, Vol.LXX (1996),133-150.
  *20.	[QR] Conformal transformations and Hardy spaces arising in Clifford analysis, by T. Qian and J. Ryan, Journal of Operator Theory, 35 1996, 349-372.

• 1994

  *19.	[GQ] Homogeneous even kernels on surfaces, by G. I. Gaudry and T. Qian, Mathematische Zeitschrift  216 (1994), 169-177. DOI:10.1007/BF02572315.
  *18.	[LMQ] Clifford algebras, Fourier transforms, and singularConvolution operators on Lipschitz surfaces, by  C. Li , A. McIntosh and T. Qian , Revista Matematica Iberoamericana, 10 No.3 (1994), 665-695.
  *17.	[QP] Möbius covariance of iterated Dirac operators, by J. Peetre and T. Qian, J. Austral Math. Soc. (Series A) 56 (1994), 1-12.

• 1993 *16.

  *16.	[GLQ] A Martingale proof of L2-boundedness of Clifford-Valued Singular Integrals, by G. I. Gaudry, R. Long and T. Qian,Annali di Mathematica Pura Ed Applicata, vol. 165 (1993), 369-394. DOI:10.1007/BF01765857.

• 1992

  *15.	[GQS] Singular Integrals related to the Laplacian on the affine group ax+b, 1, by G. Gaudry T. Qian and P. Sjögren, Arkiv for matematik, Vol. 30 (1992) No 2, 259--281. DOI: 10.1007/BF02384874.
  *14.	[McQ2] Lp Fourier multipliers along Lipschitz curves, by A. McIntosh and T. Qian, Transactions of The American Mathematical Society, Volume 333, Number 1, September (1992), 157--176.

• 1990

  13.	[McQ1] A note on singular integralsalong Lipschitz curves with holomorphic kernels, by A. McIntosh and T. Qian, Approximation Theory and its Applications, No. 4,vol. 6 (1990) 40--57. DOI:10.1007/BF02836307.

• 1989

  *12.	[PQ] A kind of multilinear operators and the Schatten-von Neumannclasses, by L. Z. Peng and T.  Qian, Arkiv for Mat. 27, (1989), 145--154. DOI:10.1007/BF02386367.

• 1987

  11.	[Q10] BMO boundedness of a certain class of operators, by T. Qian, Research and Reviews in Math., vol.7 no.2, May (1987), 331--332.

• 1986

  *10.	[Q9] BMO boundedness of maximal operators, by T. Qian,  Acta Math. Sinica, vol. 29 no.3, (1986), 317—322.
  *9.	[QL] Pointwise estimates for a class of singular integrals and higher commutators, by T. Qian and C. Li, Acta Math. Sinica, new series (1986), Vol. 2 no.3, 248—259. DOI: 10.1007/BF02582027.
  8.	[Q8] Weighted inequalities concerning the Radon measures of the arc-length of curves on the complex plane, by T. Qian, Journal of SystemsScience and Mathematical Science, vol. 6, no.2, (1986), 146—153.

• 1985

  *7.	[Q7] Commutators of multiplier operators, by T. Qian, Chin. Ann. of Math, 6B (4) (1985), 401—408.
  6.	[Q6] Kakeya needle problem, by T. Qian, Maths in Practice and Theory, no. 3 (1985), 64—67.
  *5.	[Q5] Higher Commutators of pseudo-differential operators, by T. Qian, Chin. Ann. of Math, 6B(2) (1985), 229—240.
  4.	[Q4] Commutators of homogeneous multiplier operators, by T. Qian, ScientiaSinica, vol. XXVIII no.3, March (1985), 225—234.

• 1984

  3.	[Q3] On estimate for a multilinear singular  integral, by T. Qian Scientia Sinica, vol. XXVII, no.11, Nov. (1984), 1143--1154 .
  2.	[Q2] The preservation of the Lipschitz spaces under several maximal operators, by T. Qian, Kexue Tongbao, vol. 29, no.4, April (1984), 443—447.

• 1983

  1.	[Q1] Lip boundedness of some maximal operators defined on ${\scr H}$-families of sets. by T. Qian, (Chinese) Kexue Tongbao (Chinese) 28 (1983), no. 21, 1285--1288.

• 2007

  3.	Communication on Pure and Applied Analysis , by T. Qian and Y. S. Xu (Editors),invited as guest editor for the special issue 6 (3), 2007.
  2.	Wavelet Analysis and Applications,by T. Qian, V. M. I and Y. S. Xu (Editors), the book series in Applied and Numerical Harmonic Analysis, Springer, 2007.

• 2004

  1.	Advances in Analysis and Geometry, by T. Qian, T. Hempfling, A. McIntosh and F. Sommen (Editors) ,book series in Trends in Mathematics, Birkhäuser, 2004.

• 2008

  9.	Hilbert Transforms on the Sphere and Lipschitz Surfaces, by T. Qian, Quaternionic and Clifford Analysis, Trends in Mathematics, Birkhäuser Verlag Basel/Switzerland, 259-275, 2008.

• 2007

  8.	Mono-components for signal decomposition, book series in Applied and Numerical Harmonic Analysis, Springer, 2007.
  7.	Time-frequency aspects of nonlinear Fourier atoms, by T. Qian, Q. H. Chen and L. Q. Li, the book series in Applied and Numerical Harmonic Analysis, Springer, 2007.

• 2004

  6.	Advances in Analysis and Geometry, by T. Qian, T. Hempfling, A. McIntosh and F. Sommen (Editors), bookseries in Trends in Mathematics, Birkhäuser, 2004.
  5.	Dini-type convergence of Fourier series on the unit sphere of Euclidean spaces, by T. Qian and  S. Liu, book series in Trends in Mathematics, Birkhäuser, 2004, pp131-148.

• 2001

  4.

  Singular Integrals and Fourier Multipliers On the Unit Spheres and Their Lipschitz Perturbations,  Advances in Applied Clifford Algebras, Vol 11, (S1) 53-76, November (2001)-- Special Issue, Clifford Analysis Proceedings of the Clifford Analysis Conference, Cetraro, Italy, October, 1998, John Ryan and Daniele C. Struppa Editors.

• 2000

  3.	Fourier theory under Möbius transformations, by T. Qian, X. H. Ji, and J. Ryan, CliffordAlgebras and Their Applications in Mathematical Physics, Volume 2, edited by John Ryan and Wolfgang Sprössig, Birkhäuser,Boston-Basel-Berlin (April 2000), 51-80.

• 1995

  2.	Singular integrals on the m-torus and its Lipschitz perturbations, Clifford Algebras in Analysis and Related Topics, book chapter in the series: Studies in Advanced Mathematics, CRC Press (1995), 94-108.

• 1991

  1.	Convolution singular integrals on Lipschitz curves,byT. Qian and A.McIntosh, Springer-Verlag, Lecture Notes in Maths 1494 (1991) 142--162.

• 2010

  11.	Frequency Domain Identification with Adaptive Rational Orthogonal System, with M. Wen, Proceedings of 2010 International Conference on System Science and Engineering, Taiwan.

• 2008

  10.	A new property of Nevanlinna Functions, by T. Qian, Proceedings of the 16th International Conference of Finite and Infinite Dimensional Complex Analysis and Applications, Dongguk University, Gyeongju, KOREA, July 28-August 1, 2008, pp 38-49.

• 2003

  9.	A mathematical model for edge detection using rotational wavelet transformation, by T. Qian andL. M. Zhang, the 6th IASTED International Conference onComputers, Graphics, and Imaging,} August 13-15, 2003, Honolulu,USA.
  8.	Parameter Analysis of Morlet Wavelet Transform Based Edge Detection, by T. Qian and L. M. Zhang, Proceedings of the 7th WSEASInt. Conf. on CSCC (Circuits, Systems, Communications andComputers)} in Corfu Island, Greece, July 7-10, 2003.
  7.	Derivation of monogenic functions and applications, Proceedings of the Centre for Mathematics and its applications, Australian University, Volume 41, 2003,118-127.

• 2002

  6.	Radon measure formulation of edge detection using rotational wavelets, by T. Qian andL. M. Zhang, Proceedings of the WSEAS conference,Singapore, December, 2002.
  5.	Paley-Wiener theorem and Shannon Sampling in the Clifford analysis setting, Proceedings of the 6th International Conference on Clifford Algebras and their Applications, Invited Volume for Plenary Talks,May 20-25, 2002, Cookeville, Tennessee, USA.

• 1996

  4.	Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space and generalisations to Rn, Proceedings of the Symposium on Analytical and Numerical Methods in Quaternionic and Clifford Analysis, Seiffen, 1996,187-196.

• 1994

  3.	Transference between infinite Lipschitz graphs and periodic Lipschitz graphs, Proceedings of the Center for Mathematics and its Applications, ANU, vol.33 (1994), 189-194.

• 1989

  2.	A note on martingales with respect to complex measures, by T. Qian, M. Cowling and G. Gaudry, Miniconference onOperators in Analysis (1989), Proceedings of the Center forMathematical Analysis, 24,  ANU, Canberra, (1989), 10--27.

• 1987

  1.	Fourier transform on Lipschitz curves, by T. Qian and A. McIntosh, Proceedings of the Center for Mathematical Analysis, ANU, vol. 15, (1987), 157--166.

• Member of the Australian Mathematical Society
• Member of the American Mathematical Society

Faculty of Science and Technology
University of Macau
Av. Padre Tomás Pereira, Taipa,
Macau, China

Room: N504
Telephone: (853) 8397-4954
Fax: (853) 28838314
Email: fsttq