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Qian Tao
錢濤 Professor Head of Department of Mathematics |
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Professor, and Head of Dept, University of Macau |
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Senior Lecturer, Lecturer (English system) The University of New England, Australia |
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Research Fellow Flinders University of South Australia, Australia |
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Research Fellow Macquarie University, Australia |
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Research Fellow, Institute of Systems Sciences, The Chinese Academy of Sciences |
B.Sc. Courses
Research Interests
Research Grants
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D.A.A.D. the German Research Foundation, Research Stay for Professor |
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FDCT Macao |
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FDCT Macao |
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University of Macau Research Grants (Continuing) |
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Conference Grant to the ICM Satellite Conference on Clifford Analysis, Chinese Mathematical Society; |
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Cooperating Foundation of Special Fund for Scientific Research, Belgium |
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Swedish Foundation for International Cooperation in Research and High Education |
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United Nations Development Program |
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Joint research project from Chinese Science Foundation |
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D.A.A.D. the German Research Foundation |
Awards
Invited Academic Visiting with Full or Partial Supports
Keynote and Plenary Speaker in Conferences
Mathematical Conference Organization
| Journal papers | 77 |
| Books and Journal Special Issues Editor | 3 |
| Book Chapters | 9 |
| Conference Proceedings | 11 |
| TOTAL | 100 |
Journal papers ("*" means that the paper is in the latest SCI list).
| *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. |
| *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. |
| *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. |
| *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. |
| 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. |
| 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. |
| 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. |
| 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. |
| *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. |
| *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. |
| *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. |
| 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. |
| *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. |
| 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. |
| *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. |
| *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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 1. | Convolution singular integrals on Lipschitz curves,byT. Qian and A.McIntosh, Springer-Verlag, Lecture Notes in Maths 1494 (1991) 142--162. |
| 11. | Frequency Domain Identification with Adaptive Rational Orthogonal System, with M. Wen, Proceedings of 2010 International Conference on System Science and Engineering, Taiwan. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
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