B.Sc. Courses
| 1. |
The preservation of the Lipschitz spaces under several maximal operators, Kexue Tongbao, vol. 29, no.4, April (1984), 443—447. |
| 2. |
On estimate for a multilinear singular integral, Scientia Sinica, vol. XXVII, no.11, Nov. (1984), 1143--1154 . |
| 3. |
Commutators of homogeneous multiplier operators, ScientiaSinica, vol. XXVIII no.3, March (1985), 225—234. |
| *4. |
Higher Commutators of pseudo-differential operators, Chin. Ann. of Math,6B(2) (1985), 229—240. |
| 5. |
Kakeya needle problem, Maths in Practice and Theory, no. 3 (1985), 64—67. |
| *6. |
Commutators of multiplier operators, Chin. Ann. of Math, 6B(4) (1985), 401—408. |
| 7. |
Weighted inequalities concerning the Radon measures of the arc-length of curves on the complex plane, Journal of SystemsScience and Mathematical Science, vol. 6 no.2, (1986), 146—153. |
| *8. |
Pointwise estimates for a class of singular integrals and higher commutators, by Tao Qian and Li Chun, Acta Math. Sinica, new series (1986), Vol. 2 no.3, 248—259. |
| *9. |
BMO boundedness of maximal operators, Acta Math. Sinica, vol. 29 no.3, (1986), 317—322. |
| 10. |
BMO boundedness of a certain class of operators, Research and Reviews in Math., vol.7 no.2, May (1987), 331--332. |
| 11. |
A kind of multilinear operators and the Schatten-von Neumannclasses, by Tao Qian and Peng Lizhong, Arkiv for Mat. 27, (1989), 145--154. |
| 12. |
A note on singular integrals with holomorphic kernels,by Tao Qian and Alan McIntosh, Approximation Theory and its Applications, No. 4,vol. 6 (1990) 40--57. |
| *13. |
Lp Fourier multipliers along Lipschitz curves, by Tao Qian and Alan McIntosh, Transactions of The American Mathematical Society,Volume 333, Number 1, September (1992), 157--176. |
| *14. |
Singular Integrals related to the Laplacian on the affine group ax+b, 1, by T.Qian, G.Gaudry and Peter Sjögren, Arkiv for matematik, Vol. 30 (1992) No 2, 259--281. |
| *15. |
A Martingale proof of L2-boundedness of Clifford-Valued Singular Integrals, by T.Qian, G. I. Gaudry and R. Long,Annali di Mathematica Pura Ed Applicata, vol. 165 (1993), 369-394. |
| *16. |
Möbius covariance of iterated Dirac operators, by Tao Qian and JaakPeetre, J. Austral Math. Soc. (Series A) 56 (1994), 1-12. |
| *17. |
Clifford algebras, Fourier transforms, and singularConvolution operators on Lipschitz surfaces, by Tao Qian, C. Li and A. McIntosh,Revista Matematica Iberoamericana, 10 No.3 (1994), 665-695. |
| *18. |
Homogeneous even kernels on surfaces, by Tao Qian and G.I. Gaudry,Mathematische Zeitschrift 216 (1994), 169-177. |
| *19. |
Conformal transformations and Hardy spaces arising in Clifford analysis, by T. Qian and J. Ryan, Journal of Operator Theory, 35 1996, 349-372. |
| 20. |
Boundedness of singular integrals with holomorphic kernels on star-shaped closed Lipschitz curves, by T. Qian,G. Gaudry and S.L. Wang, Colloq. Math, Vol.LXX (1996),133-150. |
| *21. |
Singular integrals with holomorphic kernels and Fourier multipliers on star-shape Lipschitz curves, Studia Mathematica, 123(3) (1997),195-216. |
| 22. |
A holomorphic extension result, Complex Variables, vol 32(1)(1997), 59-77. |
| 23. |
Generalization of Fueter's result to R^{n+1}, Rend. Mat. Acc. Lincei, s.9, v.8 (1997) 111-117. |
| *24. |
Singular integrals associated with holomorphic functional calculus of the spherical Dirac operator on star-shaped Lipschitz surfaces in the quaternionic space, Mathematische Annalen, 310 (4) (April, 1998),601-630. |
| *25. |
Poisson kernel of a degenerate elliptic equation,by T. Qian and X.H. Ji, Zeitschrift für Analysis and ihre Anwendungen (Mathematical Methods in the Applied Sciences),Vol. 23 (2000), pp 71-80. |
| 26. |
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). |
| 27. |
A class of singular integrals on the n-complex unit sphere, by T. Qian and M. Cowling,Scientia Sinica (Series A), vol 42, No.12 (December 1999), 1233-1245. |
| *28. |
Transformation formula of higher order singular integrals on the complex hypersphere, by T.Qian and T.D. Zhong, Austral Math. Soc.,vol. 68, Part 2 (April 2000), 152-164. |
| *29. |
The differential integral equations on smooth closed orientable manifolds, by Tao Qian and T.D. Zhong, Acta Mathematica Sinica, 2001, vol 21, Series B, No.1, 1-8. |
| *30. |
Fourier analysis on starlike Lipschitz surfaces, Journal of FunctionalAnalysis, 183, 370-412 (2001). |
| *31. |
Hadamard principal value of higher order singular integrals, by T. Qian and T-D. Zhong, The Chinese Annals ofMathematics, 23 A: 2 (2002), 205-212. |
| *32. |
Calderon-type reproducing formulae on Lipschitz curves and surfaces, J. Austral. Math. Soc. 72 (2002),33-45. |
| *33. |
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). |
| 34. |
Generalizations of Fueter's Theorem, by T. Qian, K.I.Kou and F. Sommen, Method and Applications of Analysis, Vol. 9, No.2, pp. 273-290, June 2002. |
| *35. |
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. |
| 36. |
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. |
| *37. |
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. |
| *38. |
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. |
Analytic unit quadrature signals with non-linear phase, by T. Qian, Qiu-hui Chen and Lou-qing Li, Physica D: Nonlinear Phenomena, Pages 80-87. 303 (2005), 80-87. |
| *40. |
Analytic Signals and Harmonic Measures, J. Math. Anal. Appl. 314 (2006) 526-536. |
| 41. |
Characterization of boundary values of functions in Hardy spaces with applications in signal analysis, Journal of Integral Equations and Applications, Volume 17, Number 2, Summer 2005, pp 159-198. |
| *42. |
Stability of frames generalized by nonlinearatoms, by Qiu-hui Chen, Luo-qing Li and Tao Qian, International Journal of Wavelets, Multiresolutionand Information Processing, Vol. 3, No. 4 (December 2005) 465-476. |
| *43. |
Mono-components for decomposition of signals, Mathematical Methods in the Applied Sciences (Zeitschrift für Analysis and ihre Anwendungen), 2006; 29:1187-1198. |
| 44. |
An elementary proof of Paley-Wiener Theorem in C^n using Clifford algebra, byYan Yang and Tao Qian, Complex Variables and Elliptic Equations, volume 51, number 5-6, 599-609. |
| *45. |
Characterization of Analytic Phase Signals, by Tao Qian and Qiu-hui Chen, Computers & Mathematics with Applications, Vol. 51, 1471-1482, 2006. |
| *46. |
Direct Sum Decomposition of L^2(R^n_1) into Subspaces Invariant Under Fourier Transformation, by Ming-gang Fei and Tao Qian, The Journal of Fourier Analysis and Applications, Volume 12, Issue 2, 2006, 145-155. |
| 47. |
A generalization of Fueter’s theorem, by Dixan Pena Pena, T. Qian and Frank Sommen, Complex Variables and Elliptic Equations, Vol. 51, Nos. 8-11, August-November 2006, 913-922. |
| *48. |
Two families of analytic signals with non-linear phase, by Qiu-hui Chen, Luo-qing Li and Tao Qian, Physica-D: Non-linear Phenomena, Vol. 221, 1-12, 2006. |
| 49. |
Schwarz Lemma in Euclidean spaces, by Yan Yang and Tao Qian, Complex Variables and Elliptic Equations, Vol. 51, No.7, July, 2006, 653-659. |
| *50. |
Co-dimension-p Paley-Wiener Theorem, by YanYang, Tao Qian and Frank Sommen, Ark. Mat., 45 (2007) 179-196. |
| *51. |
Radon measure formulation for edge detection using rotational wavelets, by Liming Zhang, Tao Qianand Qingye Zeng, Communication on Pure and Applied Analysis , Vol 6, No. 3 (Sept, 2007). 899-915. |
| *52. |
Clifford algebra approach to pointwise convergence of Fourier series on spheres, by Ming-gang Fei and Tao Qian, Sciences of China, 49(11), 2006, 1553-1575. |
| 53. |
Sampling in Bessel functions, by K.I. Kou, T. Qian and Frank Sommen, Advances in applied Clifford Algebra, 17(3), 2007, 519-536. |
| 54. |
Co-dimension-p Shannon sampling theorems, by Yan Yang and Tao Qian, Complex Variables and Elliptic Equations, 52(1), 2007, 9-20. |
| *55. |
A note on pointwise convergence for expansions in surface harmonics of higher dimensional Euclidean spaces, by Ming-gang Fei and Tao Qian, accepted to appear in Taiwanese Journal of Mathematics June Issue of 2009. |
| *56. |
Pointwise convergence for expansions in spherical monigenics, by Ming-gang Fei and Tao Qian, accepted to appear in Acta Mathematica Scientia. |
| *57. |
Mono-components vs. IMFs in signal decomposition, by Tao Qian, Li-ming Zhang and Hong Li, International Journal of Wavelets, Multiresolution and Information Processing. Vol. 6, No. 3 (May 2008), 353-374. |
| 58. |
Half Dirichlet problems and decomposition of Posson kernels, by R. Delanghe and Tao Qian, 17 (2007), 383-393, Advances in Applied Clifford Algebra. |
| *59. |
The Paley-Wiener Theorem in the non-commutative and non-associative octonions, by X.M. Li, L.Z. Peng and T. Qian, 中国科学 A辑 第38卷 第6期, (2008) (English version has also appeared). |
| *60. |
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. |
| *61. |
Boundary Derivatives of the Phases of Inner and Outer Functions and Applications, Mathematical Methods in the Applied Sciences (Math. Meth. Appl. Sci., or Zeitschrift für Analysis and ihre Anwendungen) 2009; 32:253-263. |
| *62. |
Fourier Spectrum Characterization of Hardy Spaces and Applications, by T. Qian, Y-S. Xu, D-Y. Yan, L-X. Yan and B. Yu, accepted to appear in Proceedings of the American Mathematical Society. |
| *63. |
Hilbert Transforms on the Sphere With the Clifford Algebra Setting, by T. Qian and Y. Yang, accepted to appear in Journal of Fourier Analysis and Applications. |
| *64. |
Two Integral Operators In Clifford Analysis, by Y-F Gong, I-T Leong and T. Qian, accepted to appear in Journal of Mathematical Analysis and Applications. |
| *65. |
Orthonormal Bases with Nonlinear Phases, by T. Qian,R. Wang, Y-S. Xu and H-Z. Zhang, accepted to appear in Advances in Computational Mathematics (AiCM ). |
| *66. |
Hilbert transforms and the Cauchy integral in Euclidean space, by A. Axelsson, K.I. Kou and T. Qian, accepted to appear in Studia Mathematica. |
| *67. |
Q. H. Chen and T. Qian, Sampling theorem and multi-scale spectrum based on Fourier atom, accepted by Applicable Analysis. |
| *68. |
P. Dang, T. Qian and Z. You, Hardy-Sobolev spaces decomposition and applications in signal analysis, accepted by Journal of Fourier Analysis and Applications. |
| *69. |
T. Qian, I.T. Ho, I.T. Leong, Y.B. Wang, Adaptive decomposition of functions into pieces of non-negative instantaneous frequencies, accepted by International Journal of Wavelets, Multiresolution and Information Processing. |
| *70. |
Y. Yang and T. Qian, On sets of zeroes of Clifford algebra-valued polynomials, accepted by Acta Math Sinica. |
| *71. |
T. Qian, Intrinsic mono-component decomposition of functions: An advance of Fourier theory, accepted by Mathematical Methods in Applied Sciences. |
| *72. |
T Qian, Y-B. Wang and P. Dang, Adaptive Decomposition Into Mono-Components, Advances in Adaptive Data Analysis, special issue. |