LIAN Qiaofang

Professional title:Professor

Office No.:51683333


2001.9-2004.7  Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Doctor

1998.9-2001.7 School of Mathematics, Beijing University of Technology, Master

1994.9-1998.7 Department of Mathematics, Shanxi Normal University, Bachelor

Professional Experience

2011.11-       School of Sciences, Beijng Jiaotong University, Professor

2006.9-2011.11 School of Sciences, Beijng Jiaotong University, Associated Professor

2007.1-2007.6 Department of Mathematics, Syracuse University, Visiting Scholar

2004.7-2006.9 School of Sciences, Beijng Jiaotong University, Lecturer

Research Field

Wavelet Analysis and its Applications, Machine Learning, Deep Learning 


National Natural Science Foundation of China ( Grant No. 61772063, 11971043, 11271037, 10901013, 10671008)

Beijing Natural Science Foundation (Grant No. 1122008, 1092001)

The Fundamental Research Funds for the Central Universities (Grant No. 2011JBM299)

Teaching Courses

Function of Real Variable, Functional Analysis, Matrix Analysis, Mathematical Introduction to Machine Learning


  1. Qiaofang Lian, Minghou You, Approximately dual frames of nonstationary Gabor frames for l2(Z) and reconstruction errors, Math Meth Appl Sci., 43, 2020, 6643–6662
  2. Qiaofang Lian,Nonstationary Gabor frames for $l^2(\mathbb Z)$, Math. Meth. Appl. Sci., 42 (5), 2019, 1335-1351
  3. Qiaofang Lian,Linlin Song, Vector-valued nonstationary Gabor frames,  J. Math. Anal. Appl., 469(1), 2019, 358-377
  4. Qiaofang Lian, Zhao Wang, Generalized super Gabor duals with bounded invertible operators, Indian J. Pure Appl. Math., 49(3), 2018, 413-430
  5. Minghou You, Junqiao Yang, Qiaofang Lian, Wilson frames for CL with general lattices, Int. J. Wavelets Multiresoulut. Inf. Process, 14(6), 2016, 1650055, 32pp
  6. Yunzhang Li, Qiaofang Lian, Super Gabor frames on discrete periodic sets, Adv. Comput. Math., 38(4), 2013, 763-799
  7. Qiaofang Lian, Yunzhang Li, Super oblique Gabor duals of super Gabor frames on discrete periodic sets, Numer. Funct. Anal. Optim., 34(3), 2013, 284-322
  8. Qiaofang Lian, Haili Ma, Density results for subspace multiwindow Gabor systems in the rational case, Acta Math. Sin. (Engl. Ser.),29(5), 2013, 897-912
  9. Qiaofang Lian, Jing Gong, Minghou You, Time-domain characterization of multiwindow Gabor systems on discrete periodic sets, Indian J. Pure Appl. Math., 44(1), 2013, 47-76
  10. Qiaofang Lian, Yunfang Lian, Minghou You, Discrete-time Wilson frames with general lattices, Int. J. Wavelets Multiresoulut. Inf. Process, 10(5), 2012, 1-28
  11. Qiaofang Lian,Yunzhang Li,Gabor families in l^2(Z^d) , Kyoto Journal of Mathematics, 52(1), 2012, 179-204
  12. Qiaofang Lian , Lixin Shen, Y. Xu, L. Yang, Filters of wavelets on invariant sets for image denoising, Applicable Analysis, 90(8), 2011, 1299-1322
  13. Yunzhang Li,  Qiaofang Lian, Multi-window Gabor frames and oblique Gabor duals on
  14. discrete periodic sets, Sci. China Math., 54(5), 2011, 987-1010
  15. Qiaofang Lian,Yunzhang Li, Gabor frame sets for subspaces, Adv. Comput. Math., 34(4), 2011,
  16. 391-411
  17. Qiaofang Lian,Yunzhang Li, The duals of Gabor frames on discrete periodic sets, J. Math.
  18. Phys., 50,2009, 013534, 22pp
  19. Yunzhang Li,  Qiaofang Lian,  The spectrum sequences of periodic frame multiresolution
  20. analysis, Acta Math. Sinica (English Series),25(3), 2009, 403-418
  21. Yunzhang Li,  Qiaofang Lian, Tight Gabor sets on discrete periodic sets, Acta Appl. Math., 107, 2009, 105-19
  22. Yunzhang Li,  Qiaofang Lian, Gabor systems on discrete periodic sets, Sci. China Ser. A, 52(8),
  23. 2009, 1639-1660
  24. Qiaofang Lian,Yunzhang Li, Reducing subspace frame multiresolution analysis and frame
  25. wavelets, Communications on Pure and Applied Analysis, 6(3), 2007, 741-756     
  26. Qiaofang Lian, Yongge Wang, Dunyan Yan, Optimized local trigonometric bases with
  27. nonuniform partitions, Acta Mathematica Sinica, Englis Serie,,22(4), 2006,1069-1084
  28. Qiaofang Lian, Linfeng Cheng, Dunyan Yan, Optimized local trigonometric bases with
  29. nonuniform partitions, Progress in Natural Science, 16(7), 2006, 684-690
  30. Qiaofang Lian, Yongge Wang, Dunyan Yan, A characterization of L^p(R) by local
  31. trigonometric bases with 1<p<\infty, Adv. comput. Math., 25, 2006, 91-104
  32. Qiaofang Lian, Qiuhui Chen, hongying Xiao, Some properties on multivariate filter banks with
  33. a matrix factorization, Progress in Natural Science, 15(2), 2005, 115-125
  34. Qiaofang Lian, Wavelets and wavelet packets related to a class of dilation matrices, Acta
  35. Mathematica Sinica, English Series, 20(5), 2004, 879 -892