何興綱,男,教授,1961年5月。貴州安順。
基本介紹
- 中文名:何興綱
- 出生日期:1961年5月
- 性別:男
- 職稱:教授
1979年9月---83年7月,武漢大學數學系本科。
1986年9月---89年7月,復旦大學數學所碩士。
1998年1月---2001年3月,香港中文大學數學系博士。
2006年7月---2007年7月,香港中文大學數學系博士後。
1983年7月---1986年9月,湖南師範大學數學系助教,
1989年7月---至今,華中師範大學數學系(數學與統計學學院)助教、講師、副教授、教授。
研究方向:
1.分形幾何;
2.小波分形;
3.調和與非調和Fourier分析。近5年主要科研成果:
1. 2013-01—2016-12,測度空間上的譜和小波, 68萬,國家基金委面上項目,主持人。
2. 2008-01—2010-12,分形上平方可積函式空間指數型基的研究,23萬,國家基金委面上項目,主持人。
3. 2009-01—2011-12,加細分布、樣條函式及相關的問題研究,21萬,國家基金委面上項目,參加,排名2。發表論文如下:
1. Dai, Xin-Rong; He, Xing-Gang; Lai, Chun-Kit Spectral property of Cantor measures with consecutive digits. Adv. Math. 242 (2013), 187–208.
2. He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing Exponential spectra in L2(µ). Appl. Comput. Harmon. Anal. 34 (2013), no. 3, 327–338.
3. 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.
4. He, Xing-Gang; Li, Hai-Xiong Weyl-Heisenberg Riesz bases generated by two intervals. J. Fourier Anal. Appl. 18 (2012), no. 5, 954–971.
5. Deng, GuoTai; He, XingGang Lipschitz equivalence of fractal sets in R. Sci. China Math. 55 (2012),no. 10, 2095–2107.
6. Cao, Li; He, Xinggang Dimensional results for the Moran-Sierpinski gasket. Wuhan Univ. J. Nat. Sci.17 (2012), no. 2, 93–96.
7. He, Xing-Gang; Lau, Ka-Sing On the Weyl-Heisenberg frames generated by simple functions. J. Funct. Anal. 261 (2011), no. 4, 1010–1027.
8. He, Xing-Gang; Kirat, Ibrahim; Lau, Ka-Sing Height reducing property of polynomials and self-affine tiles. Geom. Dedicata 152 (2011), 153–164.
9. Deng, Qi-Rong; He, Xing-Gang; Lau, Ka-Sing Self-affine measures and vector-valued representations.Studia Math. 188 (2008), no. 3, 259–286.
10. He, Xing-Gang; Lau, Ka-Sing On a generalized dimension of self-affine fractals. Math. Nachr. 281(2008), no. 8, 1142–1158.
11. Deng, Guo-Tai; He, Xing-Gang Integral self-affine sets with positive Lebesgue measures. Arch. Math. (Basel) 90 (2008), no. 2, 150–157.
12. 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.
13. He,Xing-Gang; Liu,Chun-Tai Matrixrefinementequations:continuityandsmoothness. Czechoslovak Math. J. 57(132) (2007), no. 2, 747–762.
14. He, Xing-Gang Graph-directed sets and multitiles. Southeast Asian Bull.Math. 31 (2007), no. 3, 523–536.
15. He, Xing-Gang; Wen, Zhi-Ying The self-similarity structure on infinite intervals. J.Math. Anal. Appl.329 (2007), no. 2, 1094–1101.
16. He, Xing-Gang On the boundaries of self-similar tiles in R1. Proc. Amer. Math. Soc. 134 (2006), no. 11, 3163–3170.
17. He, Xing-Gang; Wen, Zhi-Ying On the L1-solutions of refinement equations with positive coefficients.Nonlinearity 19 (2006), no. 7, 1553–1563.
18. He, Xing-Gang; Lau, Ka-Sing Characterization of tile digit sets with prime determinants. Appl. Comput. Harmon. Anal. 16 (2004), no. 3, 159–173.
19. He, Xing-Gang; Lau, Ka-Sing; Rao, Hui Self-affine sets and graph-directed systems. Constr. Approx.19 (2003), no. 3, 373–397.
20. 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.
21. He, Xinggang The generalization of Opial and Hua's inequality. J. Central China Normal Univ. Natur. Sci. 30 (1996), no. 2, 133–134.
22. He, Xing Gang Some inequalities for the traces of matrices. (Chinese) J. Central China Normal Univ. Natur. Sci. 29 (1995), no. 1, 8–11.
23. He, Xing Gang A short proof of a generalization on Opial's inequality. J. Math. Anal. Appl. 182 (1994),no. 1, 299–300.
24. 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.
25. He, Xing Gang Uniform domains and quasiconformal mappings.(Chinese) Chinese Ann. Math. Ser. A13 (1992), suppl., 66–69.
26. He, Xing Gang Integrable quasiconformal homeomorphisms. (Chinese) J. Central China Normal Univ. Natur. Sci. 26 (1992), no. 2, 138–143.