Assistant Professor(Research) Mai Weixiong

School of Computer Science and Engineering, Faculty of Innovation Engineering

Macau University of Science and Technology

Office: A304b

Tel.: +853-8897 3556

E-mail: wxmai@must.edu.mo

• Ph.D. in Mathematics, University of Macau, 2016
• MS in Mathematics, University of Macau, 2012
• BS in Information and Computational Science, Sun Yat-sen University, 2010

Calculus

Function theory of one and several complex variables; Harmonic analysis; Differential geometry;

Approximation theory; Clifford analysis; Signal analysis.

• Assistant Professor (Research), Macao Center for Mathematical Sciences, Macau University of Science and Technology, September 2021 - present
• Research Fellow, School of Mathematics (Zhuhai), Sun Yat-Sen University, November 2018 – July 2021
• Research Assistant, Faculty of Information Technology, Macau University of Science and Technology, April 2017 – April 2018
• Postdoc, Department of Mathematics, University of Macau, September 2016 – April 2017, May 2018 - August 2018

1. Pei Dang, Weixiong Mai, Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for vector-valued functions, preprint, 2022.
2. Weixiong Mai, Jianyu Ou, Liouville theorem on Ricci shrinkers with constant scalar curvature and its application, submitted for publication, arXiv:2208.07101 [math.DG], 2022.
3. Manli Liu, Weixiong Mai, Guokuan Shao, On equidistribution theorem for multi-sequences of holomorphic line bundles, submitted for publication, arXiv:2208.03517 [math.CV], 2022.
4. Weixiong Mai, Tao Qian, The Fourier type expansions on tubes, Complex Variables and Elliptic Equations, 67 (2022), 433-461.
5. Pei Dang, Weixiong Mai, Tao Qian, On monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type, to appear in Advances in Applied Clifford Algebras, arXiv:2009.11078 [math. CV], 2022.
6. Wenliang Pan, Yujue Li, Jianwu Liu, Pei Dang, Weixiong Mai, Metric distribution discrepancy in metric space, to appear in Statistics and Its Interface, 2022.
7. Weixiong Mai, Tao Qian, Algorithm of adaptive Fourier decomposition in H^2(C^2_+), submitted for publication, 2022.
8. Wenliang Pan, Pei Dang, Weixiong Mai, Uncertainty principle in random Quaternion domains, submitted for publication, 2022.
9. Weixiong Mai, Jianyu Ou, Uncertainty principle and its rigidity on complete gradient shriking Ricci solitons, Proceedings of the American Mathematical Society, 149 (2021), 285-299.
10. Wenliang Pan, Pei Dang, Weixiong Mai, Chuang Li, Uncertainty principles for random signals, submitted for publication, 2021.
11. Pei Dang, Weixiong Mai, Tao Qian, Adaptive decompositions in monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type, submitted for publication, 2021.
12. Weixiong Mai, Jianyu Ou, Three balls theorem for eigenfunctions of Dirac operator in Clifford analysis, submitted for publication, arXiv:2110.14991 [math.CV], 2021.
13. Weixiong Mai, Guokuan Shao, On the Bergman kernel in weighted monogenic Bargmann-Fock spaces, submitted for publication, arXiv:2109.15137 [math.CV] 2021.
14. Pei Dang, Weixiong Mai, Tao Qian, Fourier spectrum of Clifford Hp spaces on R^{n+1}_+, for 1\leq p\leq \infty, Journal of Mathematical Analysis and Applications, 483 (2020), 123598.
15. Pei Dang, Weixiong Mai, A remark on Riesz bases of subspaces in Hardy spaces, Complex Variables and Elliptic Equations, 65 (2020), 1950-1961.
16. Tao Qian, Jianzhong Wang, Weixiong Mai, An enhancement algorithm for cyclic adaptive Fourier decomposition, Applied and Computational Harmonic Analysis, 47 (2019), 516-525.
17. Weixiong Mai, Tao Qian, Rational approximation in Hardy spaces on strips, Complex Variables and Elliptic Equations, 63 (2018), 1721-1738.
18. Weixiong Mai, Tao Qian, Aveiro method in reproducing kernel Hilbert spaces under complete dictionary, Mathematical Methods in the Applied Sciences, 40 (2017), 7240-7254.
19. Weixiong Mai, Pei Dang, Liming Zhang, Tao Qian, Consecutive minimum phase expansion of physically realizable signals with applications, Mathematical Methods in the Applied Sciences, 39 (2016), 62-72.
20. Qiuhui Chen, Weixiong Mai, Liming Zhang, Wen Mi, System identification by discrete rational atoms, Automatica, 56 (2015), 53-59.

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