Home Page of Gensun Fang

 

Hello, welcome to my home page! Here, you can find some information of mine.

 

Current professional position:

Professor of Mathematics, Beijing Normal University, People's Republic of China.

 

Official address:

Department of Mathematics; Beijing Normal University; Beijing, 100875; People's Republic of China.

 

E-mail:

fanggs@bnu.edu.cn

 

Telephone:

8610-6220-8731  

Telefax:

8610-6220-8202

 

Education:

  • Ph. D., 1988, Department of Mathematics, Beijing Normal University, People's Republic of China. Advisor was Professor Yongsheng Sun
  • M. S., 1985, Department of Mathematics, Beijing Normal University, People's Republic of China. Advisor was Professor Yongsheng Sun
  • B. S., 1982, Department of Mathematics, Beijing Normal University, People's Republic of China

     

    Professional Memberships:

  • 1987年-现在， 美国数学会《Mathematical Reviews》评论员
  • 1999年-现在， 欧洲数学会《Zentralblatt fur Mathematik》评论员

     

    Current Research Areas:

  • Approximation Theory : n-widths, optimal Recovery
  • Numerical Analysis: information basis complexity, multi-dimensional quadrature, approximation solution of equations
  • Computational Mathematics: sampling Theorem, aliasing and truncation error

     

    Grants:

  • Fang Gensun, Information Bases Complexity of Some Optimal Problems On Worst Case and Average Case, NSFC( National Natural Since Foundation of China), No. 10071006, 2001-2003; RMB, 110,000, On going
  • Sun Yongsheng, Fang Gensun, Liu Yongpin, Approximation of Multivariate Functions, NSFC, No. 19671012, 1997-1999; RMB, 110,000, 1997-1999, Completed
  • Sun Yongsheng, Fang Gensun, Liu Yongpin, Several extremal Problems in Approximation of Multivariate and Computational Complexity, NSFC, No. 19371013, 1994-1996; RMB 24,000, completed
  • Fang Gensun, Computational Complexity of Operator Equation, Since Foundation of High Education, 1994-1996, RMB 20,000, Completed
  • Sun Yongsheng, Fang Gensun, $N$-widths of smooth Classes of functions on Compact Sets and Optimal Recovery, NSFC, N0. 19371012, 1990-1992, RMB 17,000, Completed
  • Sun Yongsheng, Fang Gensun, Harmonic Analysis and Approximation of Functions, NSFC, No. 1860417, RMB, 15,000, Completed
  • 1993年01月至1995年12月，国家教育部留学回国人员科研启动基金

     

    Some Publications After 1995 :

    1. Fang Gensun, Ye Peixin, Probabilistic and average linear widths of Sobolev space with Gaussian measure, Complexity, 19(2003), 73-84.pdf
    2. Fang Gensun, Ye Peixin, Error bounds in worst case and average case on quadrature formulas for multivariate functions (Accepted by J. of Complexity, to appear in No.3, 2003). pdf
    3. Chen Guanggui, Fang Gensun, The Discrete characterization of Paley-Wiener space with Several variables, Progress in Natural Science, 13(2003), No.4, 300-303.
    4. Long Jingfan, Fang Gensun, On uniform truncation error bounds and aliasing error for multidimensional sampling expansion, (Accepted by Sampling Theory in Signal and image Processing on Aug, 2002).
    5. Ma Wan, Fang Gensun, Optimization of adaptive direct method for approximate solution of integral equations of several variables), (Accepted by Acta Matematica Scientia (B) on March 26, 2002).
    6. Fang Gensun, Ye Peixin, Adaptive widths of approximation functional on the Sobolev space with Gaussian measure, Progress in Natural Science, 44(2002), 1126-1131.
    7. Wan Ma, Fang Gensun, Theε-Complexity of the approximate solution of integral equations with Isotropic kernels, Acta Mathematica Sinica, English series, 18(2002), 679-686.
    8. Fang Gensun, The recovery of band limited functions via L-tempered splines, Est Journal On Approximation , 8(2002),421-436.
    9. Fang Gensun, Chen Xuedong, The recovery of functions of Paley-Wiener class from I irregular samplings, Acta Matematica Scientia (B), 22(2002), 466-472.
    10. Fang Gensun, Recovery of band limited functions via cardinal splines, Science in China (A), 44(2001), 1126--1131.
    11. Fang Gensun, Cardinal splines interpolation from H1 (Z) to L1(R), Proceedings of the American Mathematical Society, 128(2000), 2597-2601.
    12. Fang Gensun, Chen Xuedong, Equivalent characterization of entire functions of exponential type, Analysis Mathematica, 26(2000), 275-286.
    13. Fang Gensun, Long Jingfan, Riesz basis, Paley-Wiener class and tempered splines, Science in China (A), 43(2000), 275-286.
    14. Cheng Guanggui, Fang Gensun, Discrete characterization of Paley-Wiener space with several variables, Acta Mathematical application Sinica, 16(2000), 396--404.
    15. Fang Gensun, Ma Wan, Optimization of adaptive direct methods for approximate solution of integral equations, Advances in Mathematics, 29（2000）, 464-468.
    16. Long Jinfan, Fang Gensun, An application of the sampling theorem, Approx. Theory & its Appl. 15(1999), 84-98.
    17. Fang Gensun, Nikolskii type inequality for cardinal splines, Science in China (A), 41(1998), 1272-1277.
    18. Fang Gensun, Recovery of functions via their irregular sampling values, Chinese Science Bulletin, 43(1998), 268-271.
    19. Fang Gensun, On the Stability of interpolating sequence for entire functions, Acta Mathematicae Applicate Sinica, 21(1998), 513-518.(in Chinese).
    20. Fang Gensun, The isomorphic of H1(Z) and ∩mSm,1(R), Chinese Annals of Mathematics, (Series A), 19(1998), 671-676. (in Chinese).
    21. Fang Gensun, Whittaker-Kotelnikov-Shannon sampling theorem and Aliasing Error, J. Approx. Theory, 69(1996), 115-131.
    22. Fang Gensun, Approximating properties of entire functions of exponential type, J. Math. Anal. And its Appl., 201(1996), 642-659.
    23. Fang Gensun, The asymptotic connection between approximation by cardinal splines and entire functions of exponential type, Chinese Science Bulletin, 41(1996), 265-270.
    24. Wang Jingjun & Fang Gensun, Multidimensional sampling theorem and estimate of aliasing error, Acta Math. Appl. Sinica, 19(1996), 481-488. (in Chinese)
    25. Fang Gensun, Average Widths of WrHω in C(R), J. of Complexity, 11(1995), 461-473
    26. Fang Gensun, Complexity on The Class of Fredholm Equitation with kernels of bounded mixed derivative, Science in China (A), 25(1995), 1019-1028.(in Chinese)
    27. Sun Yongsheng, Fang Gensun, Theory of Approximation, Vol. II, Beijing Normal University press, 1990. (in Chinese)

     

    Links:

    1. Beijing Normal University
    2. American Mathematical Society