Brief Introduction of HE, Xinggang -华中师范大学数学学院中文站

Brief Introduction of HE, Xinggang

Chinese Version (中文版)

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Personal Introduction

Name: Xing-Gang He, Professor     
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China     
E-mail: xingganghe@sina.com; xingganghe@aliyun.com         
Phone: 15872369053

Education

Ph.D. Mathematics,The Chinese University of Hong Kong, 2001.3.     
Dissertation: The geometry of self-affine sets and graph-directed systems.     
Advisor: Professor Ka-Sing Lau.     
M.A. Mathematics, Fudan University, 1989..     
B.A. Mathematics, Wuhan University, 1983.

Research Field?

Fractal geometry , wavelets and harmonic analysis.     

Publications:     

29. Dai, Xin-Rong; He, Xing-Gang; Lau, Ka-Sing; On spectral     N-Bernoulli       
       measures.     Adv. Math. 259 (2014), 511–531.     
28.  An, Li-Xiang; He, Xing-Gang; A class of spectral Moran measures.     J. Funct.
       Anal. 266 (2014), no. 1, 343–354.     
27. An, Li-Xiang; He, Xing-Gang; Li, Hai-Xiong; Quasisymmetrically thick     
      generalized-Cantor sets in R.     Arch. Math. (Basel) 101 (2013), no. 6, 591–597.     
26.     Dai, Xin-Rong;     He, Xing-Gang;     Lai, Chun-Kit Spectral property of Cantor     
      measures with consecutive digits.     Adv. Math. 242 (2013), 187–208.     
25.     He, Xing-Gang;     Lai, Chun-Kit;     Lau, Ka-Sing Exponential spectra in L2(μ).     Appl.
      Comput. Harmon. Anal. 34 (2013), no. 3, 327–338.     
24.     Cao, Li;     He, Xing-Gang Dimensional results for Cartesian products of     
      homogeneous Moran sets.     Acta Math. Appl. Sin. Engl. Ser. 28 (2012), no. 4, 673     
      –680.     
23.       He, Xing-Gang;     Li, Hai-Xiong Weyl-Heisenberg Riesz bases generated by two     
        intervals.     J. Fourier Anal. Appl. 18 (2012), no. 5, 954–971.     
 22.       Deng, GuoTai;     He, XingGang Lipschitz equivalence of fractal sets in R.     Sci.
        China Math. 55 (2012), no. 10, 2095–2107.     
21.       Cao, Li;     He, Xinggang Dimensional results for the Moran-Sierpinski     
        gasket.     Wuhan Univ. J. Nat. Sci. 17 (2012), no. 2, 93–96.     
20.       He, Xing-Gang;     Lau, Ka-Sing On the Weyl-Heisenberg frames generated by     
        simple functions.     J. Funct. Anal. 261 (2011), no. 4, 1010–1027.     
19.       He, Xing-Gang;     Kirat, Ibrahim;     Lau, Ka-Sing Height reducing property of     
       polynomials and self-affine tiles.     Geom. Dedicata 152 (2011), 153–164.     
18.     Deng, Qi-Rong;     He, Xing-Gang;     Lau, Ka-Sing Self-affine measures and vector-     
       valued representations.     Studia Math. 188 (2008), no. 3, 259–286.     
17.       He, Xing-Gang;     Lau, Ka-Sing On a generalized dimension of self-affine     
       fractals.     Math. Nachr. 281 (2008), no. 8, 1142–1158.     
16.       Deng, Guo-Tai;     He, Xing-Gang Integral self-affine sets with positive Lebesgue     
        measures.     Arch. Math. (Basel) 90 (2008), no. 2, 150–157.     
15.       Deng, Guo-Tai;     He, Xing-Gang;     Wen, Zhi-Xiong Self-similar structure on     
       intersections of triadic Cantor sets.     J. Math. Anal. Appl. 337 (2008), no. 1, 617–     
      631.     
14.       He,Xing-Gang;     Liu,Chun-Tai Matrixrefinementequations:continuityand     
        smoothness.     Czechoslovak Math. J. 57(132) (2007), no. 2, 747–762.     
13.     He, Xing-Gang Graph-directed sets and multitiles.     Southeast Asian Bull.
       Math. 31 (2007), no. 3, 523–536.     
12.     He, Xing-Gang;     Wen, Zhi-Ying The self-similarity structure on infinite intervals.     J.
       Math. Anal. Appl. 329 (2007), no. 2, 1094–1101.     
11.     He, Xing-Gang  On the boundaries of self-similar tiles in R1.     Proc. Amer. Math.
       Soc. 134 (2006), no. 11, 3163–3170.     
10.       He, Xing-Gang;     Wen, Zhi-Ying On the L1-solutions of refinement equations     
        with positive coefficients.     Nonlinearity 19 (2006), no. 7, 1553–1563.     
9.       He, Xing-Gang;     Lau, Ka-Sing Characterization of tile digit sets with prime     
      determinants.     Appl. Comput. Harmon. Anal. 16 (2004), no. 3, 159–173.     
8.       He, Xing-Gang;     Lau, Ka-Sing;     Rao, Hui Self-affine sets and graph-directed     
      systems.     Constr. Approx. 19 (2003), no. 3, 373–397.     
7.     He, Xing-Gang;     Lau, Ka-Sing;     Rao, Hui On the self-affine sets and the scaling     
    functions. Wavelet analysis (Hong Kong, 2001), 179–195,     Ser. Anal., 1, World     
    Sci. Publ., River Edge, NJ, 2002.     
6.     He, Xinggang The generalization of Opial and Hua's inequality.     J. Central China
     Normal Univ. Natur. Sci. 30 (1996), no. 2, 133–134.     
5.     He, Xing Gang Some inequalities for the traces of matrices. (Chinese)     J. Central
     China Normal Univ. Natur. Sci. 29 (1995), no. 1, 8–11.     
4.     He, Xing Gang A short proof of a generalization on Opial's inequality.     J. Math.
     Anal. Appl. 182 (1994), no. 1, 299–300.     
3.     He, Xing Gang Change of variables in integrals over domains in     
    space. (Chinese)     J. Central China Normal Univ. Natur. Sci. 27 (1993), no. 2, 150     
    –151.     
2.     He, Xing Gang Uniform domains and quasiconformal mappings.     
     (Chinese)     Chinese Ann. Math. Ser. A 13 (1992), suppl., 66–69.     
1.     He, Xing Gang Integrable quasiconformal homeomorphisms. (Chinese)     J.
    Central China Normal Univ. Natur. Sci. 26 (1992), no. 2, 138–143.

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Brief Introduction of HE, Xinggang

Chinese Version (中文版)