中山大学数学与计算科学学院导师介绍：戴欣荣

　　姓名：戴欣荣　 性别：男　　出生年月：1971年  
　　职称：教授　   学院：数学与计算科学学院　
　　最后学历：博士    主要研究方向：Fourier分析、小波分析、分形几何

　　戴欣荣，1971年出生，博士、教授。 1989.9-1999.3 浙江大学（1993.7 学士、1996.3 硕士、1999.3 博士学位）； 1999.4-2008.10 浙江工业大学（2001 副教授、2007 教授） 2008.11- 中山大学 （2008.11 副教授，2010.1 教授）。 研究方向：Fourier分析、小波分析、分形几何。
[1] Dai, Xin-Rong; Wang, Yang Classification of refinable splines in R^d. Constr. Approx. 31 (2010), 343--358.

[2] Dai, Xin-Rong; Feng, De-Jun; Wang, Yang Refinable functions with non-integer dilations. Third International Congress of Chinese Mathematicians. Part 1, 2, 493-511, AMS/IP Stud. Adv. Math., 42, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2008.
[3] Dai, Xin-Rong; Wang, Yang On refinable sets. Methods Appl. Anal. 14 (2007), no. 2, 165—177
[4] Dai, Xin-Rong; Feng, De-Jun; Wang, Yang Refinable functions with non-integer dilations. J. Funct. Anal. 250 (2007), no. 1, 1--20.

[5] Dai, Xin-Rong; Feng, De-Jun; Wang, Yang Structure of refinable splines. Appl. Comput. Harmon. Anal. 22 (2007), no. 3, 374--381.

[6] Dai, Xin-Rong Compactly supported multi-refinable distributions and B-splines. J. Math. Anal. Appl. 323 (2006), no. 1, 379--386.

[7] Dai, Xin-Rong; Feng, De-Jun; Wang, Yang Classification of refinable splines. Constr. Approx. 24 (2006), no. 2, 187--200.

[8] Jin, Yong Yang; Dai, Xin Rong Continuity of solutions for a class of degenerate Schrödinger equations. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 24 (2004), no. 2, 238--245.

[9] Dai, Xinrong Refinable distributions supported on self-affine tiles. Appl. Math. J. Chinese Univ. Ser. B 17 (2002), no. 1, 69--74.

[10] Dai, Xinrong; Huang, Daren; Sun, Qiyu Local polynomial property and linear independence of refinable distributions. Arch. Math. (Basel) 78 (2002), no. 1, 74--80.

[11] Dai, Xinrong The equivalence of iterated systems on $\Bbb R$. J. Math. Study 34 (2001), no. 1, 27--31.

[12] Li, Yunzhang; Dai, Xinrong A note on continuous refinement equations. Gongcheng Shuxue Xuebao 17 (2000), no. 2, 48--52.

[13] Dai, Xinrong; Sun, Qiyu; Zhang, Zeyin Compactly supported both $m$ and $n$ refinable distributions. East J. Approx. 6 (2000), no. 2, 201--209.

[14] Bi, Ning; Dai, Xinrong; Sun, Qiyu Construction of compactly supported $M$-band wavelets. Appl. Comput. Harmon. Anal. 6 (1999), no. 2, 113--131.

[15] Dai, Xinrong; Huang, Daren; Sun, Qiyu Some properties of five-coefficient refinement equation. Arch. Math. (Basel) 66 (1996), no. 4, 299—309.