Personal Information

Song Li(李松), Professor of Department of Mathematics, Zhejiang University.

Research Interests

Approximation and Wavelet Theory, Time‐Frequency Analysis, Imaging Sciences, Sampling Theory, Compressive Sampling

Education

1992–1994 Ph.D. Zhejiang University (P. R. China)

1986–1988 M.Sc. Inner Mongolia University (P. R. China)

1980–1982 B.Sc. Hulunbeiermeng Education University (China)

Grants

1. Refinement Equations with Infinitely Supported Masks, (National Natural Science Foundation of China), 10771190, 2007‐2010
2. Multi‐Wavelet and Its Application, (National Natural Science Foundation of China), 10471123, 2005‐2007
3. Some Problems Research in Approximation Theory Fields, (National Natural Science Foundation of China), 10071071, 2001‐2003
4. Application of Wavelets Analysis in Life Information Science, (Natural Science Foundation of Zhejiang Province), Y6090091, 2010‐2011

Plenary and Invited Talks

1. International Conference on Harmonic Analysis, August, 2002, Hangzhou, P. R. China.
2. Asian Approximation and Wavelet Theory, November, 2003, Singapore
3. International Conference on Applicable Harmonic Analysis, May, 2005, Hangzhou, P. R. China
4. International Conference on Applicable Harmonic Analysis: Approximation and Computation, June, 2006, Beijing
5. Trends in Applied Harmonic Analysis, September, 2007, Banff, Alberta, Canada
6. The Third International Conference on Computational Harmonic Analysis, June, 2007, Shanghai, P. R. China
7. Chinese-French-Singaporean Joint Workshop on Wavelet Theory and Applications, June, 2008, Singapore
8. International Conference on Harmonic Analysis and PDE and Its Their Applications, May, 2009, Beijing, P. R. China
9. International Conference on Harmonic and Approximation theory, Nov,2009, Beijing, P. R. China
10. Mathematical Aspect of Data Science, May, 2010, Shanghai. P. R. China

Publicated Papers-present

1. Jianbin Yang and Song Li, gularity of Refinable Functions with Exponentially Decaying Masks,Journal of Mathematical Analysis and its Application, 2010
2. Yi Shen, Song Li and Qun Mo, Complex Wavelets and Framelets from Pseudo Splines, Journal of Fourier Analysis and Its Application, 2010
3. Jianbin Yang and Song Li, Convergence Rates of Cascade Algorithms Associated with Infinitely Supported Masks, Canadian Mathematical Bulletin, 2010
4. Jianbin Yang and Song Li, Smoothness of Multivariate Refinable Functions with Infinitely Supported Masks, Journal of Approximation Theory, 2010
5. Song Li and YaLi Pan, Subdivision Schemes with Polynomially Dacaying Masks, Advance in Computational Mathematics, 2010
6. Song Li and Yi Shen, The Support of A Refinable Vector Satisfying An Inhomogeneous Refinement Equations, Acta Math Sinica, English series, 2010
7. Song Li and Yi Shen, Cascade Algorithms Associated with Masks Having Exponential Decay ,Applied Mathematics Letters, 2009
8. 8. Song Li and Zhi Song Liu, Riesz Multiwavelet Bases Generated by Vector Refinement Equation, Science in China, Series A, 2009.
9. Jun Xian and Song Li, Sampling and Reconstruction in Lattice-Invariant Spaces and Their Applications, Acta Math Sinica, English series, 2009
10. Song Li and Yi Shen, Pseudo Box Splines, Applied Computational Harmonic Analysis, 2009
11. Song Li and YaLi Pan, Subdivision with Infinitely Supported Masks, Journal of Computational and Application Mathematics, 2008
12. Jun Xian and Song Li, Sampling Set Conditions in Weighted Multiply Generated Shift-Invariant Spaces and Their Applications, Applied Computational and Harmonic Analysis, 2007
13. Song Li and Xian Jun, Biorthogonal Multiple Wavelets Generated by Vector Refinement Equation, Science in China, Series A, 2007
14. Qun Mo ,Yi Shen and Song Li, A New Proof of A Polynomial Inequality Related to Pseudo-Splines, Applied Computational and Harmonic Analysis, 2007
15. Song Li and Jian Bin Yang, Vector Subdivision Schemes with Infinitely Supported masks, Journal of Approximation Theory, 2007
16. 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, 2006
17. Song Li and Xinglong Zhou, Multivariate Refinement Equation with Nonnegative Masks, Science in China, Seres A, 2006
18. 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, 2005
19. Song Li, Convergence Rates of Vector Cascade Algorithms in L_p-Solutions , Journal of ApproximationTheory, 2005
20. Song Li, Characterization of Smoothness of Refinable Functions and Convergence of Cascade Algorithms Associated with Nonhomogeneous Refinement Equations, Advance in Computational Mathematics, 2004
21. Song Li, Convergence Rates of Cascade Algorithms Associated with Nonhomogeneous Refinement Equations, Journal of Mathematical Analysis and its Application, 2004
22. Song Li, Multivariate Refinement Equation and Convergence of Cascade Algorithms in $L_p(0, Acta Math Sinica, English Series, 2003
23. Song Li, Vector subdivision schemes in (Lp(Rs))r(1 ≤ p ≤∞) spaces, Science in China, Series A, 2003