北京工業(yè)大學(xué)數(shù)理學(xué)院數(shù)學(xué)導(dǎo)師介紹：李云章

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李云章，男,1966年生，教授, 博士生導(dǎo)師,基礎(chǔ)數(shù)學(xué)學(xué)科責(zé)任教授，德國《Zentralblatt MATH》評(píng)論員；1998年浙江大學(xué)數(shù)學(xué)系博士畢業(yè)，獲博士學(xué)位，研究方向：小波分析；2004.2---2005.2訪問加拿大麥克瑪斯特大學(xué)（McMaster University）數(shù)學(xué)與統(tǒng)計(jì)系；研究領(lǐng)域涉及小波分析與Gabor分析。主持完成和主持在研國家自然科學(xué)基金、教育部留學(xué)回國人員科研啟動(dòng)基金、北京市自然科學(xué)基金、北京市中青年骨干教師基金、北京市優(yōu)秀人才基金、北京市教委基金、北京市留學(xué)人員科技活動(dòng)擇優(yōu)資助項(xiàng)目等多項(xiàng)國家級(jí)和省部級(jí)項(xiàng)目。在《J. Funct. Anal.》、《J. Fourier Anal. Appl.》、《J. Math. Phys.》、《J. Math. Anal. Appl.》、《J. Approx. Theory》、《Proc. Amer. Math. Soc.》、《Num. Func. Anal. Optim.》、《Acta Appl.  Math.》、《Comm. Pure Appl. Anal.》、《Adv. Comput. Math.》、《Int. J. Wavelets Multiresolut. Inf. Process.》、《Abstr. Appl. Anal.》、《Appl. Math. Comput.》、《Kyoto J. Math..》、《Kodai Math. J.》、《Sci. China Math.》、《Acta. Math. Sinica》等國內(nèi)外學(xué)術(shù)期刊發(fā)表論文50余篇, 多篇被SCI收錄。

Email: yzlee@bjut.edu.cn

Tel.: (010) 67392180----209

部分SCI論文:

[1]The construction of multivariate periodic wavelet bi-frames. J. Math. Anal. Appl. 412 (2014), no. 2, 852–865. (withHui-Fang Jia)

[2]Rational time-frequency multi-window subspace Gabor frames and their Gabor duals. Sci. China Math. 57 (2014), no. 1,145–160. (with Yan Zhang)

[3]Rational time-frequency Gabor frames associated with periodic subsets of the real line. Int. J. Wavelets Multiresolut. Inf. Process. 12 (2014), no. 2, 1450013, 15 pp. (with Jean-Pierre Gabardo )

[4]Super Gabor frames on discrete periodic sets, Adv. Comput. Math. 38 (2013), no. 4, 763–799. (with Qiao-Fang Lian)

[5]Rational time-frequency super Gabor frames and their duals, J. Math. Anal. Appl. 403 (2013), no. 2, 619–632.  (with Feng-Ying Zhou)

[6]Lattice tiling and density conditions for subspace Gabor frames. J. Funct. Anal. 265 (2013), no. 7, 1170–1189. (withJean-Pierre Gabardo and Deguang Han )

[7]The equivalence between seven classes of wavelet multipliers and arcwise connectivity they induce. J. Fourier Anal. Appl. 19 (2013), no. 5, 1060–1077. (with Yan-Qin Xue) 

[8]Super oblique Gabor duals of super Gabor frames on discrete periodic sets,  Num. Func. Anal. Optim., 34(2013), no. 3, 284–322. (with Qiao-Fang Lian) 

[9]Rational time-frequency vector-valued subspace Gabor frames and Balian-Low theorem, Int. J. Wavelets Multiresolut. Inf. Process., 11(2013), no.1, 1350013, 23pp. (with Yan Zhang)

[10]Generalized multiresolution structures in reducing subspaces of $L^2(Bbb R^d)$, Sci. China Math., 56(2013), 619–638. (with Feng-Ying Zhou)

[11]Discrete subspace multiwindow Gabor frames and their duals. Abstr. Appl. Anal. 2013, Art. ID 357242, 17 pp.  (withYan Zhang)

[12]An embedding theorem on reducing subspace frame multiresolution analysis. Kodai Math. J. 35 (2012), no. 1, 157–172. (with Lin Zhang) 

[13]Gabor families in $l^2(Bbb Z^d)$, Kyoto J. Math. 52 (2012), no. 1, 179–204. (with Qiao-Fang Lian) 

[14]Supports of Fourier transforms of refinable frame functions and their applications to FMRA. Acta Math. Appl. Sin. Engl. Ser. 28 (2012), no. 4, 757–768. (with Chun-Hua Han)

[15]Construction of a class of multivariate compactly supported wavelet bases for  . Front. Math. China 7 (2012), no. 1,177–195. (with Feng-Ying Zhou)

[16]The characterization of a class of multivariate MRA and semi-orthogonal Parseval   frame wavelets,  Appl. Math. Comput.,  217(2011), no. 22, 9151–9164 .  (with Feng-Ying Zhou) 

[17]Gabor frame sets for subspaces, Adv. Comput. Math, 34(2011), no. 4, 391–411. (with Qiao-Fang Lian)

[18]GMRA-based construction of framelets in reducing subspaces of $L^2(Bbb R^d)$, Int. J. Wavelets Multiresolut. Inf. Process., 9 (2011), no. 2, 237–268.  (with Feng-Ying Zhou)

[19]Multi-window Gabor frames and oblique Gabor duals on discrete periodic sets，Sci. China Math., 54(2011), no. 5, 987–1010.  (with Qiao-Fang Lian)

[20]On the aliasing error in a class of bidimensional wavelet subspaces. Appl. Math. J. Chinese Univ. Ser. B 26 (2011),no. 1, 77–85. (with Hui-Min Liu)

[21]Multivariate FMRAs and FMRA frame wavelets for reducing subspaces of  $L^2(Bbb R^d)$,  Kyoto J. Math., 50 (2010), no. 1, 83–99 .  (with Feng-Ying Zhou)

[22]Gabor systems on discrete periodic sets. Sci. China Ser. A 52 (2009), no. 8, 1639-1660. (with Qiao-Fang Lian) 

[23]Density results for Gabor systems associated with periodic subsets of the real line. J. Approx. Theory 157 (2009),no. 2, 172--192. (with Jean-Pierre Gabardo) 

[24]The duals of Gabor frames on discrete periodic sets. J. Math. Phys. 50 (2009), no. 1, 013534, 22 pp.(with Qiao-Fang Lian)

[25]Tight Gabor sets on discrete periodic sets. Acta Appl. Math. 107  (2009), no. 1-3, 105--119. (with Qiao-Fang Lian) 

[26]The spectrum sequences of periodic frame multiresolution analysis. Acta Math. Sin. (Engl. Ser.) 25 (2009), no. 3,403--418. (with Qiao-Fang Lian)

[27]Holes in the spectrum of functions generating affine systems. Proc. Amer. Math. Soc., 135(2007), no. 6, 1775--1784 (with Jean-Pierre Gabardo) 

[28]Reducing subspace frame multiresolution analysis and frame wavelets. Commun. Pure Appl. Anal. 6 (2007), no. 3, 741--756. (with Qiao-Fang Lian) 

[29]A class of bidimensional FMRA wavelet frames. Acta Math. Sin. (Engl. Ser.),  22 (2006), no.4, 1051-1062

[30]On the construction of a class of bidimensional nonseparable compactly supported wavelets. Proc. Amer. Math. Soc.133 (2005), no. 12, 3505—3513 

[31]A note on Gabor orthonormal bases. Proc. Amer. Math. Soc. 133 (2005), no. 8, 2419-2428 

[32]A remark on the orthogonality of a class bidimensional nonseparable wavelets. Acta Math. Sci. Ser. B Engl. Ed. 24(2004), no. 4, 569–576.

[33]On the holes of a class of bidimensional nonseparable wavelets. J. Approx. Theory, 125 (2003), no. 2, 151--168.

[34]On a class of bidimensional nonseparable wavelet multipliers. J. Math. Anal. Appl., 270 (2002), no. 2, 543--560.

[35]A class of bidimensional nonseparable wavelet packets. Acta Math. Sci. Ser. B Engl. Ed. 22 (2002), no. 1, 131–137 (with Xiongfei Tian)