李松,1994年4月获浙江大学理学博士学位,1994年6月-1996年6月在武汉大学从事博士后研究工作,1996年7月开始在浙江大学数学系工作。2001 年晋升为教授, 2002年被评为为博士生导师。现任浙江大学数学系副主任。
人物经历
1994年4月获浙江大学理学博士学位。
1994年6月-1996年6月在武汉大学从事博士后研究工作。
1996年7月开始在浙江大学数学系工作。
1998年以来作为访问教授与研究合作者曾访问过美国乔治亚大学、美国佐治亚理工大学、美国密西根州立大学、加拿大Alberta 大学、加拿大 Manitiba 大学、新加坡国立大学、香港城市大学和香港理工大学等著名学府;也曾前往美国哈佛大学、德国黑森林数学中心、加拿大班夫数学中心进行学术交流。
2001 年晋升为教授。
2002年被评为为博士生导师。
现任浙江大学数学系副主任。
研究方向
小波分析理论及应用、压缩传感理论及其应用、高维数据处理以及采样理论的研究工作。
主要贡献
2000-2011年期间主持四项国家自然科学基金面上项目,2005年与意大利罗马第二大学合作获得(2006-2009)中意政府间科技合作项目。
社会服务
曾经多次为《Applied Computational and Harmonic Analysis》(美国)、《J. Approximation Theory》(美)、《J.Comput.Appl.Math》(荷兰)、《Adv in Comput. Math》(美国)、《中国科学》、《数学学报》、《数学年刊》及《IEEE.Trans.Inform Theory》、《IEEE.Trans.Signal Processing》等多种国际、国内著名期刊审稿。
学术论文
到目前为止在《中国科学》、《Applied Computational and Harmonic Analysis》、《Journal of Fourier Analysis and Its Application 》、《Advance in Computational Mathematics》、《IEEE.Transcations.on Signal Processing》、《IEEE.Transcations on Information Theory》、《Journal of Approximation Theory》、《Journal of Computational Applied and Mathematics》、《Acta Mathematical Sinica》(英)、<<数学年刊>>等国内外著名期刊上发表学术论文60余篇, 其中SCI论文40余篇。
学术交流
学术成果引起国内外同行的高度关注,论文多次被包括美国科学院院士G.Strang、世界数学家大会特邀报告人 Z.W. Shen、国际著名统计学专家 T.Cai、国际著名逼近论专家 R.Q.Jia 及采样理论专家 Feichtinger. G 等引用。2001年以来数十次受邀出席重要国际学术会议并做特邀报告。例如,2003年11月,受新加坡国立大学邀请全额资助出席《亚洲逼近论及其小波分析国际会议》并做一小时报告、2007年9月受邀请并被资助参加在加拿大Banff举行的《应用调和分析发展趋势》小型国际会议并做邀请报告、2008年6月受邀请并被资助参加在新加坡国立大学举行的《小波分析与应用国际会议》并做邀请报告等。此外,2005年5月作为组织委员会主席成功举办了具有重要国际影响的《应用调和分析国际会议》,参加这次会议的代表有四十余位国际著名学者,其中包括美国总统奖获得者等四位美国科学院院士。这次会议的召开在国内外产生了重要的影响,受到许多国际著名学者的好评。
主要论著
-Qun Mo and Song Li, Tight Frame with Symmetric rational filter, Applied and Computational Harmonic Analysis, 2011,to appear.[]Rong Qing Jia and Song Li, Refinable Functions with Exponentional Decay: An Approach via Cascade Algorithms, Journal of Fourier Analysis and Its Application, 2011,to appear.-Jianbin Yang and Song Li, Convergence Rates of Cascade Algorithms Associated with Infinitely Supported Masks, Canadian Mathematical Bulletin, 2011,To appear.(SCI).-Yi Shen and Song Li, Wavelets and framelets from dual pseudo splines, Science in China, Series A, 2011,to appear.-Jianbin Yang and Song Li, Regularity of Refinable Functions with Exponentially Decaying Masks, J.Math Anal.Appl, 2010-12.(SCI).-Yi Shen, Song Li and Qun Mo, Complex Wavelets and Framelets from Pseudo Splines, Journal of Fourier Analysis and Its Application, 2010-12.(SCI).-Jianbin Yang and Song Li, Smoothness of Multivariate Refinable Functions with Infinitely Supported Masks, Journal of Approximation Theory, 2010,5.(SCI).-Song Li and YaLi Pan, Subdivision Schemes with Polynomially Dacaying Masks, Advance in Computational Mathematics, 32(4), 2010.(SCI).-Song Li and Yi Shen, The Support of A Refinable Vector Satisfying An Inhomogeneous Refinement Equations, Acta Math Sinica, English series, 26(4), 2010.(SCI).-Song Li and Yi Shen, Cascade Algorithms Associated with Masks Having Exponential Decay , Applied Mathematics Letters, 22(8), 2009, 8.(SCI).-Song Li and Zhi Song Liu, Riesz Multiwavelet Bases Generated by Vector Refinement Equation, Science in China, Series A, 3, 2009.(SCI).-Song Li and Yi Shen, Pseudo Box Splines, Applied Computational Harmonic Analysis, 22(26), 2009.(Top Journal).-Jun Xian and Song Li, Sampling and Reconstruction in Lattice-Invariant Spaces and Their Applications , Acta Math Sinica, English series, 25(4), 2009.(SCI).-Song Li and YaLi Pan, Subdivision with Infinitely Supported Masks, Journal of Computational and Application Mathemati, 2008.(SCI).-李松,刘志松, 由向量细分方程生成的高维Riesz小波基, 中国科学:A缉, 38(11), 2008.(SCI).-Jun Xian and Song Li, Sampling Set Conditions in Weighted Multiply Generated Shift-Invariant Spaces and Their Applications, Applied Computational and Harmonic Analysis, 22, 2007.9.(Top Journal).-Li Song and Xian Jun, Biorthogonal Multiple Wavelets Generated by Vector Refinement Equation, Science in China, Series A, 37(5), 2007.7.(SCI).-Qun Mo ,Yi Shen and Song Li, A New Proof of A Polynomial Inequality Related to Pseudo-Splines, Applied Computational and Harmonic Analysis, 23, 2007.11.(SCI, Top Journal).-Song Li and Jian Bin Yang, Vector Subdivision Schemes with Infinitely Supported masks, Journal of Approximation Theory, 148, 2007.10.(SCI).-Song Li and Xinglong Zhou, Multivariate Refinement Equation with Nonnegative Masks, Science in China, Seres A, 49(4), 2006.(SCI).-Song Li, Rui Fang Hu and Xiang Qing Wang, L_p-Solutions of Vector Refinement Equation with General Dilation Matrix , Acta Math Sinica, English Series, 1, 2006.(SCI).-Song Li, Convergence Rates of Vector Cascade Algorithms in $L_p$, Journal of Approximation Theory, 137, 2005.(SCI).-李松,刘建平,冼军, 与非齐次细分方程相关的级联序列在Sobolev空间中的收敛阶, 数学学报(中), 48(4), 2005.-Song Li, Guo Mao Wang and Zhi Song Liu, A Generatization of the Mean Size Formula of Wavelet Packets in L_p , Acta Math Sinica, English Series, 6, 2005.(SCI).-Song Li, Characterization of Smoothness of Refinable Functions and Convergence of Cascade Algorithms Associated with Nonhomogeneous Refinement Equations , Advance in Computational Mathematics, 20, 2004.(SCI).-Song Li, Convergence Rates of Cascade Algorithms Associated with Nonhomogeneous Refinement Equations , Journal of Mathematical Analysis and its Applicati, 292, 2004.(SCI).-李松, L_P空间中向量细分格式, 中国科学:A辑, 1, 2003.(SCI).-Song Li, Vector Subdivision Schemes in (L_p)^r(1\eq p\leq\infty)Spaces, Science in China, Series A, 2, 2003.(SCI)-Song Li, Multivariate Refinement Equation and Convergence of Cascade Algorithms in $L_p(0, Acta Math Sinica, English Series, 19, 2003.(SCI).-Song Li, Convergence of Cascade Algorithms in Sobolev Space Associated with Multivariate Nonhomogeneous Refinement Equations, Journal of Mathematical Analysis and its Applicati, 257, 2001.(SCI).-Song Li, Convergence of Cascade Algorithms Associated with Inhomogeneous Refinement Equations in Sobolev Space $(W_2^k(\Bbb R^s))^r$ , Journal of Approximation Theory, 104, 2000.(SCI).-Li Song, Wu Zheng Chang, Ma Bo Lin, Besov Spaces and K-functional in L_p,0, Acta Mathematica Applicate Sinica,English series, 16, 2000.-Li Song, K-functional, Weighted Moduli of Smoothness, and Best Weighted Polynomial Approximation on A Simple, Acta Math Sinica, English Series, 15, 1999.(SCI).-Song Li and Ren Tai Wang, The Characterization of Derivatives for Linear Combinations of Post-Widder Operators in $L_p$, Journal of Approximation Theory, 97, 1999.(SCI).-Song Li, The Equivalence Relations Between the Ditzian-Totik Moduli of Smoothness and Best Polynomial Approximation in Besov Space, Journal of Mathematical Analysis and its Applicati, 215, 1997.(SCI).-Song Li, Local Smoothness of Functions and Baskakov-Durrmeyer Operators, Journal of Approximation Theory, 88, 1997.(SCI).-Li Song, The Equivalence Relations Between the Best Approximation and Linear Operators Approximation in Besov Space, Acta Math Sinica, English Series, 4, 1997.
获奖记录
所获得的研究成果得到国内外同行的认可,作为第一完成人曾获得2012年度教育部科研优秀成果奖自然科学二等奖。获奖题目为小波分析研究领域中的若干基本理论及其在信息科学中的应用。