教育經(jīng)歷
1989.9-1999.3浙江大學(xué)(1993.7 學(xué)士、1996.3 碩士、1999.3 博士);
1999.4-2008.10浙江工業(yè)大學(xué)(2001 副教授、2007 教授);
2008.11-中山大學(xué)(2008.11 副教授,2010.1 教授)。
研究方向
Fourier分析、小波分析、分形幾何。
主要成就
3、Fourier標(biāo)架與分形譜測度,國家自然科學(xué)基金--面上項目,2014.1-2017.12.
2、藝術(shù)的數(shù)字化鑒定技術(shù),國家自然科學(xué)基金--中美合作項目,2010.1-2011.12.
1、加細分布、樣條函數(shù)及相關(guān)問題的研究,國家自然科學(xué)基金--面上項目,2009.1-2011.12.
出版著作
23、Xin-Rong Daiand Qiyu Sun, Theabc-problem for Gabor systems,Mem. Amer. Math. Soc.,To Appear.
22、Xin-Rong Dai,Wei-Hong He, Jun Luo and Bo Tan, An isodiametric problem of fractal dimension,Geom. Dedicata,175(2015), 79-91.
21、Xin-Rong Daiand Qiyu Sun, Spectral measure with arbitrary Hausdorff dimensions,J. Funct. Anal.,268(2015), 2464-2477
20、Xin-RongDai,Xing-Gang He and Ka-Sing Lau, On spectral $N$-Bernoulli measures.Adv. Math.,259 (2014), 511u2013531.
19、Xin-Rong Dai,Xing-Gang He and Chun-Kit Lai, Spectral property of Cantor measures with con-secutive digits.Adv. Math.,242(2013),187u2013208.
18、Xin-Rong Dai,Wei-Hong He and Jun Luo, An isodiametric problem with additional constraints.J. Math. Anal. Appl.,397(2013), 1u20138.
17、Xin-Rong Dai,When does a Bernoulli convolution admit a spectrum?Adv. Math.,231(2012), 1681u20131693.
16、Xin-Rong Daiand Jun-Quan Song, Summation and intersection of refinable shift invariant spaces.Sci. China Math.,54(2011), 2087u20132097.
15、Xin-Rong Daiand Yang Wang, Classification of refinable splines in $ R^d$.Constr. Approx.,31 (2010), 343-358.
14、Xin-Rong Dai,De-Jun Feng and Yang Wang, Refinable functions with non-integer dilations.Third International Congress of Chinese Mathematicians.Part 1, 2, 493-511, AMS/IPStud. Adv. Math.,42, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2008.
13、Xin-Rong Daiand Yang Wang, On refinable sets.Methods Appl. Anal.,14(2007), 165u2013177.
12、Xin-Rong Dai,De-Jun Feng and Yang Wang, Refinable functions with non-integer dilations.J. Funct. Anal.,250(2007), 1u201320.
11、Xin-Rong Dai,De-Jun Feng and Yang Wang, Structure of refinable splines.Appl. Comput. Harmon. Anal.,22(2007), 374u2013381.
10、Xin-Rong Dai,Compactly supported multi-refinable distributions and B-splines.J. Math. Anal. Appl.,323(2006), 379u2013386.
9、Xin-Rong Dai,De-Jun Feng and Yang Wang, Classification of refinable splines.Constr. Approx.,24(2006), 187u2013200.
8、Yong-Yang Jin andXin-Rong Dai,Continuity of solutions for a class of degenerate Schr?-dinger equations. (Chinese).Acta Math. Sci.,Ser. A Chin. Ed., 24 (2004), 238u2013245.
7、Xin-Rong Dai,Refinable distributions supported on self-affine tiles.Appl. Math. J. ChineseUniv.,Ser. B, 17(2002), 69u201374.
6、Xin-Rong Dai,Daren Huang and Qiyu Sun, Local polynomial property and linear independ-ence of refinable distributions.Arch. Math. (Basel),78(2002), 74u201380.
5、Xin-Rong Dai,The equivalence of iterated systems on $R$.J. Math. Study,34(2001), 27u201331.
4、Yun-Zhang Li andXinRong Dai,A note on continuous refinement equations.Gongcheng Shuxue Xuebao,17(2000), 48u201352.
3、Xin-Rong Dai,Qiyu Sun and Zeyin Zhang, Compactly supported both $m$ and $n$ refinable dist-ributions.East J. Approx.,6(2000), 201u2013209.
2、Ning Bi,Xin-Rong Daiand Qiyu Sun, Construction of compactly supported M-band wavelets.Appl. Comput. Harmon. Anal.,6(1999), 113u2013131.
1、Xin-Rong Dai,Daren Huang and Qiyu Sun, Some properties of five-coefficient refinement equation.Arch. Math. (Basel),66(1996), 299u2013309.