General
Yan Dunyan,  Male, Professor 
Email: ydunyan@gucas.ac.cn
Telephone: 01062629717
Mobile phone:
Address: Zhongguancun Nan Yi Tiao No. 3, Haidian district, Beijing,People’s Republic of China, school of mathmatics,  Graduate University of Chinese Academy of Sciences.
Postcode: 100190

Research Areas

Harmonic Analysis in Euclidean Spaces 
Time-Frequency Analysis 
Wavelet Analysis to Image Processing 
Approximation

Education

Ph.D. in Mathematics (Harmonic Analysis),
Beijing Normal University  (2001); 
Master's degree, (Harmonic Analysis and Approximation), 
Beijing Normal University (1991); 
Bachelor's degree, Beijing Normal University (1988) 

Experience

2008--present, Professor
Graduate University of the Chinese Academy of Sciences;
 2003--2008, Associate Professor
Graduate University of the Chinese Academy of Sciences;
 2001--2003, Research Fellow,
The Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences.
Work Experience
1. Functional Analysis
2. Real Analysis
3. Fourier Analysis
4. Time-Frequency Analysis
5. Matrix Analysis
Teaching Experience
1. Functional Analysis
2. Real Analysis
3. Fourier Analysis
4. Time-Frequency Analysis
5. Matrix Analysis

Honors & Distinctions

I was appointed to be a distinguished teacher of Graduate University of Chinese Academy of Sciences in 2003;
I was appointed to be a distinguished teacher of Graduate University of Chinese Academy of Sciences in 2006;
I was appointed to be a distinguished teacher of Graduate University of Chinese Academy of Sciences in 2007;
I was appointed to be a distinguished teacher of Graduate University of Chinese Academy of Sciences in 2011.



Functional Analysis taughted by Dunyan Yan was appointed to be a distinguished course Graduate University of Chinese Academy of Sciences during 2004-2005;
Functional Analysis taughted by Dunyan Yan was appointed to be a distinguished course Graduate University of Chinese Academy of Sciences during 2005-2006;
Functional Analysis taughted by Dunyan Yan was appointed to be a distinguished course Graduate University of Chinese Academy of Sciences during 2006-2007.


Publications

1. Shanzhen Lu and Dunyan Yan, A Remark on Multilinear Oscillatory Singular Integrals, Acta Mathematica Sinica, English Series Oct., 2000, Vol. 16, No.4, 655-668. 
2. Dunyan Yan, Weighted Boundedness of Multilinear Oscillatory Integrals With Calderon-Zygmund Kernel, Journel of Beijing Normal University (Natural Science) Jun. 2000 Vol. 36 No.3: 303-310.
3. Shanzhen Lu, Dunyan Yan, -boundedness of multilinear oscillatory singular integrals with Calderon-Zygmund kernel, SCIENCE IN CHINA (Series A) February 2002, 45:2,196-213. 
4. Dongfeng Tian and Dunyan Yan, Weighted -Boundedness of Multilinear Oscillatory Singular Integrals with Calderon-Zygmund Kernel, Chinese Quarterly Journal of Mathematics Vol.17.No.1 2002, 33-41. 
5 Guoen Hu, Shanzhen Lu and Dunyan Yan, ( )-boundedness for the Marcinkiewicz Integral on Product Spaces, SCIENCE IN CHINA (Series A) Janurary 2003, 75-82. 
6. Shanzhen Lu and Dunyan Yan, Endpoint Estimates for Multilinear Singular Integral Operators, Proceedings of the International Symposium on Analysis, Combinatorics and Computing, Nova Science Publishers, Inc. New York,2003,341-351.
7. Guoen Hu and Dunyan Yan, -Boundedness on the Comutator of the Marcinkiewcz Integral, Journal of MATHEMATICAL ANALYSIS AND APPLICATIONS,283 (2003) 351-361. 
8. Dunyan Yan and Dengfeng Li, Boundedness of Multilinear Singular Integral Operators with Rough Kernel on Herz-Type Spaces, PanAmerican Mathematical Journal, Volume 14 (2004), Number 2, 19-35.
9. Dunyan Yan, Guoen Hu and Jiacheng Lan, Weak Type Endpoint Estimates for Multilinear Singular Integral Operators, Acta Mathematica Sinica, English Series, Feb., 2005, 21, 1, 209-214. 
10. Dunyan Yan, Yan Meng and Senhua Lan, -Boundedness of maximal operator of multilinear singular integrals with Calderon-Zygmund kernel, Acta Mathematica Sinica, English Series, June,2005, Vol. 21 No. 3, 497-506.
11. Qiaofang Lian, Yongge Wang and Dunyan Yan, A Characterization of by Local Trigonometric Bases with 1<p< , Advances in Computational Mathematics 2006, 25: 91-104.
12. Qiaofang Lian, Yongge Wang and Dunyan Yan, Optimized Local Trigonometric Bases with Nonuniform Partitionsn, Acta Mathematica Sinica, English Series, Jul., 2006, Vol. 22, No. 4, 1069-1084. 
13. Yuesheng Xu and Dunyan Yan, THE BEDROSIAN IDENTITY FOR THE HILBERT TRANSFORM OF PRODUCT FUNCTIONS, Proceedings of American Mathematical Society, Vol 134, No. 9, Sep. 2006, 2719-2728. 
14. Qiaofang Lian, Linfeng Cheng and Dunyan Yan, - Characterizations of Multi-knot Piecewise Linear Spectral Sequences, Progress in Natural Science, Vol. 16, No. 7, July, 2006, 684-690.
15. Haitao Li and Dunyan Yan, A Characterization of Piecewise linear spectral sequences, Advances in Computational Mathematics, 2007, 27: 401-422.
16. Dunyan Yan, Singular Integral Transform of Product Functions,
Internatioal conference of Harmonic Analysis and its Applications at Sapporo 2007.
17. Mingyi Lee, Chincheng Lin, Yingchieh Lin and Dunyan Yan,
Boundedness of Singular Integral Operators with Variable Kernels, Journal of MATHEMATICAL ANALYSIS AND APPLICATIONS, 348 (2008) 787-796. 
18. Yulan Li and Dunyan Yan, A Remark on the Hilbert Transform of Non-linear-phase Functions, (Chinese), Journal of the Graduate School of the Chinese Academy of Sciences,2009,26,37-42.
19. Yulan Li and Dunyan Yan, Orthonormal Bases Associated with Multi-knot Piecewise Linear Function Sequences on $[0,1)^n$, Acta Mathematica Sinica, English Series, 2009, 25, 1835-1848. 
20. Linsen Xie, Jiacheng Lan, Senhua Lan and Dunyan Yan, Jackson-Type and Bernstein-Type Inequalities for Multiplier Operators on Herz-Type Hardy Spaces, Science in China, Series A, 2009, 52, 481-492.
21. Tao Qian, Yuesheng Xu, Dunyan Yan, Lixin Yan and Bo Yu,
Fourier Spectrum Characterization of Hardy Spaces and Applications, Proceedings of American Mathematical Society, 2009, 137, 971–980. 20次
22. Yi Hu and Dunyan Yan, Double Hilbert Transform on Product Functions and Bedrosian Identity, to submit in SCIENCE IN CHINA (Series A).
23. Shidong Li and Dunyan Yan, Frame Fundamental Sensor Modeling and Stability of One-sided Frame Perturbation, Journal of Acta Applicandae Mathematicae, 2009, 107, 91-103. 4次
24. Tong Zhengqing, Wang Rui and Yan Dunyan, Bedrosian identity for two classes distribution, (Chinese), Journal of the Graduate School of the Chinese Academy of Sciences,2009,26,433-437.
25. Jiahong Chen,Rui Wang and Dunyan Yan, Weighted $L^{p}-$boundedness of Multilinear Oscillatory Singular Integral with Generalized Calderon-Zygmund Kernel, Journal of the Graduate School of the Chinese Academy of Sciences, 2009,26,587-598.
26. Yan Gu, Rui Wang and Dunyan Yan, Multidimensional Multi-knots Piecewise Linear Spectral Sequences,Analysis in Theory and Application, Vol. 26, 4 (2010), 367-382.
27. Dunyan Yan, New Advances of Singular Integral Transform of Product Functions, Real Analysis Symposium, Kyushu, Japan, 2010.
28. Shidong Li, Tong Zhengqing and Dunyan Yan, On Sampling Related Properties of B-spline Riesz Sequences, Sampling Theory in Signal and Image Processing,Vol. 9, No. 1–3, 2010 199-222.
29. Shimo Wang and Dunyan Yan, Boundedness of fractional Hardy operators with mixed norm, accepted, to appear in Analysis in Theory and Application.
30. Xiaona Cui,Rui Wang and Dunyan Yan, Some Properties for Double Hilbert Transform on . Submited
31. Rui Wang and Dunyan Yan, Fast algorithm for high dimensional multi-knots piecewise linear spectral sequences, submited.
32. Shimo Wang and Dunyan Yan, Boundedness of Commutators of fractional Hardy operators with Besov-Lipschitz functions, submited.
33. Xiaona Cui,Yi Hu and Dunyan Yan, Double Hilbert Transform on Product Functions and Bedrosian Identity, submited.
34. Shanzhen Lu, Dunyan Yan and Fayou Zhao, Sharp Bounds for Hardy type Operators on n-dimensional product spaces, submited.
35. Di Wu, Guanglan Wang and Dunyan Yan, A Packing Problem on Infinitely Dimensional Normed Linear Spaces, submited.
36. Zuoshunhua Shi and Dunyan Yan, A Note on Oscillatory Integrals of Bilinear Hilbert Transform, submited.
37. Shanzhen Lu,Shimo Wang and Dunyan Yan, Explicit constants for Hardy's inequality with power weight on n-dimensional product spaces. Submited



Books
1. Shanzhen Lu, Yong Ding, Dunyan Yan, Singular Integrals and Related Topics, World Scientific Publishing Co Pte Led 2007. 
2. Shanzhen Lu, Dunyan Yan, Bochner-Riesz Means World Scientific Publishing Co Pte Led 2012.
Papers
1. Shanzhen Lu and Dunyan Yan, A Remark on Multilinear Oscillatory Singular Integrals, Acta Mathematica Sinica, English Series Oct., 2000, Vol. 16, No.4, 655-668.
2. Dunyan Yan, Weighted Boundedness of Multilinear Oscillatory Integrals With Calderon-Zygmund Kernel, Journel of Beijing Normal University (Natural Science) Jun. 2000 Vol. 36 No.3: 303-310.
3. Shanzhen Lu, Dunyan Yan, -boundedness of multilinear oscillatory singular integrals with Calderon-Zygmund kernel, SCIENCE IN CHINA (Series A) February 2002, 45:2,196-213.
4. Dongfeng Tian and Dunyan Yan, Weighted -Boundedness of Multilinear Oscillatory Singular Integrals with Calderon-Zygmund Kernel, Chinese Quarterly Journal of Mathematics Vol.17.No.1 2002, 33-41.
5 Guoen Hu, Shanzhen Lu and Dunyan Yan, ( )-boundedness for the Marcinkiewicz Integral on Product Spaces, SCIENCE IN CHINA (Series A) Janurary 2003, 75-82.
6. Shanzhen Lu and Dunyan Yan, Endpoint Estimates for Multilinear Singular Integral Operators, Proceedings of the International Symposium on Analysis, Combinatorics and Computing, Nova Science Publishers, Inc. New York,2003,341-351.
7. Guoen Hu and Dunyan Yan, -Boundedness on the Comutator of the Marcinkiewcz Integral, Journal of MATHEMATICAL ANALYSIS AND APPLICATIONS,283 (2003) 351-361.
8. Dunyan Yan and Dengfeng Li, Boundedness of Multilinear Singular Integral Operators with Rough Kernel on Herz-Type Spaces, PanAmerican Mathematical Journal, Volume 14 (2004), Number 2, 19-35.
9. Dunyan Yan, Guoen Hu and Jiacheng Lan, Weak Type Endpoint Estimates for Multilinear Singular Integral Operators, Acta Mathematica Sinica, English Series, Feb., 2005, 21, 1, 209-214.
10. Dunyan Yan, Yan Meng and Senhua Lan, -Boundedness of maximal operator of multilinear singular integrals with Calderon-Zygmund kernel, Acta Mathematica Sinica, English Series, June,2005, Vol. 21 No. 3, 497-506.
11. Qiaofang Lian, Yongge Wang and Dunyan Yan, A Characterization of by Local Trigonometric Bases with 1<p< , Advances in Computational Mathematics 2006, 25: 91-104.
12. Qiaofang Lian, Yongge Wang and Dunyan Yan, Optimized Local Trigonometric Bases with Nonuniform Partitionsn, Acta Mathematica Sinica, English Series, Jul., 2006, Vol. 22, No. 4, 1069-1084.
13. Yuesheng Xu and Dunyan Yan, THE BEDROSIAN IDENTITY FOR THE HILBERT TRANSFORM OF PRODUCT FUNCTIONS, Proceedings of American Mathematical Society, Vol 134, No. 9, Sep. 2006, 2719-2728.
14. Qiaofang Lian, Linfeng Cheng and Dunyan Yan, - Characterizations of Multi-knot Piecewise Linear Spectral Sequences, Progress in Natural Science, Vol. 16, No. 7, July, 2006, 684-690.
15. Haitao Li and Dunyan Yan, A Characterization of Piecewise linear spectral sequences, Advances in Computational Mathematics, 2007, 27: 401-422.
16. Dunyan Yan, Singular Integral Transform of Product Functions,
Internatioal conference of Harmonic Analysis and its Applications at Sapporo 2007.
17. Mingyi Lee, Chincheng Lin, Yingchieh Lin and Dunyan Yan,
Boundedness of Singular Integral Operators with Variable Kernels, Journal of MATHEMATICAL ANALYSIS AND APPLICATIONS, 348 (2008) 787-796.
18. Yulan Li and Dunyan Yan, A Remark on the Hilbert Transform of Non-linear-phase Functions, (Chinese), Journal of the Graduate School of the Chinese Academy of Sciences,2009,26,37-42.
19. Yulan Li and Dunyan Yan, Orthonormal Bases Associated with Multi-knot Piecewise Linear Function Sequences on $[0,1)^n$, Acta Mathematica Sinica, English Series, 2009, 25, 1835-1848.
20. Linsen Xie, Jiacheng Lan, Senhua Lan and Dunyan Yan, Jackson-Type and Bernstein-Type Inequalities for Multiplier Operators on Herz-Type Hardy Spaces, Science in China, Series A, 2009, 52, 481-492.
21. Tao Qian, Yuesheng Xu, Dunyan Yan, Lixin Yan and Bo Yu,
Fourier Spectrum Characterization of Hardy Spaces and Applications, Proceedings of American Mathematical Society, 2009, 137, 971–980. 
22. Yi Hu and Dunyan Yan, Double Hilbert Transform on Product Functions and Bedrosian Identity, to submit in SCIENCE IN CHINA (Series A).
23. Shidong Li and Dunyan Yan, Frame Fundamental Sensor Modeling and Stability of One-sided Frame Perturbation, Journal of Acta Applicandae Mathematicae, 2009, 107, 91-103. 
24. Tong Zhengqing, Wang Rui and Yan Dunyan, Bedrosian identity for two classes distribution, (Chinese), Journal of the Graduate School of the Chinese Academy of Sciences,2009,26,433-437.
25. Jiahong Chen,Rui Wang and Dunyan Yan, Weighted $L^{p}-$boundedness of Multilinear Oscillatory Singular Integral with Generalized Calderon-Zygmund Kernel, Journal of the Graduate School of the Chinese Academy of Sciences, 2009,26,587-598.
26. Yan Gu, Rui Wang and Dunyan Yan, Multidimensional Multi-knots Piecewise Linear Spectral Sequences,Analysis in Theory and Application, Vol. 26, 4 (2010), 367-382.
27. Dunyan Yan, New Advances of Singular Integral Transform of Product Functions, Real Analysis Symposium, Kyushu, Japan, 2010.
28. Shidong Li, Tong Zhengqing and Dunyan Yan, On Sampling Related Properties of B-spline Riesz Sequences, Sampling Theory in Signal and Image Processing,Vol. 9, No. 1–3, 2010 199-222.
29. Shimo Wang and Dunyan Yan, Boundedness of fractional Hardy operators with mixed norm, accepted, to appear in Analysis in Theory and Application.
30. Xiaona Cui,Rui Wang and Dunyan Yan, Some Properties for Double Hilbert Transform on . Submited
31. Rui Wang and Dunyan Yan, Fast algorithm for high dimensional multi-knots piecewise linear spectral sequences, submited.
32. Shimo Wang and Dunyan Yan, Boundedness of Commutators of fractional Hardy operators with Besov-Lipschitz functions, submited.
33. Xiaona Cui,Yi Hu and Dunyan Yan, Double Hilbert Transform on Product Functions and Bedrosian Identity, submited.
34. Shanzhen Lu, Dunyan Yan and Fayou Zhao, Sharp Bounds for Hardy type Operators on n-dimensional product spaces, submited.
35. Di Wu, Guanglan Wang and Dunyan Yan, A Packing Problem on Infinitely Dimensional Normed Linear Spaces, submited.
36. Zuoshunhua Shi and Dunyan Yan, A Note on Oscillatory Integrals of Bilinear Hilbert Transform, submited.
37. Shanzhen Lu,Shimo Wang and Dunyan Yan, Explicit constants for Hardy’s inequality with power weight on n-dimensional product spaces. Submited

Research Interests

• Harmonic Analysis in Euclidean Spaces
• Time-Frequency Analysis
• Wavelet Analysis to Image Processing (Edge Detection)
• Approximation

Conferences

• International conference on PDEs and Harmonic Analysis, Beijing, China, June 25-29, 2007.
• International conference on Applicable Harmonic Analysis: Approximation and Computation, the Chinese Academy of Sciences, Beijing, China, 2006
• International conference on Harmonic Analysis, Hunan University, Hunan Province, China, 2006
• Satellite Conference on Harmonic Analysis and Applications to ICM 2002, Hangzhou, China.