Academic Qualification
Ph.D. in Mathematics, University of Macau
M.S. in Mathematics, University of Macau
B.S. in Information and Computational Science, Sun Yat-sen University
Teaching Area
Calculus
Research Area
Function theory of one and several complex variables
Harmonic analysis
Differential geometry
Approximation theory
Clifford analysis
Signal analysis
Working Experience
2021/09 – present Assistant Professor, Macau University of Science and Technology, China
2018/11 – 2021/07, Research Fellow, School of Mathematics (Zhuhai), Sun Yat-Sen University, China
2017/04 – 2018/04, Research Assistant, Macau University of Science and Technology, China
2016/09 – 2017/04, 2018/05 – 2018/08, Postdoc & Research Assistant, University of Macau, China
Academic Publication (selected)
1. Weixiong Mai, Jianyu Ou, Liouville theorem on Ricci shrinkers with constant scalar curvature and its application, Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2024 (2024), 283-299.
2. Pei Dang, Weixiong Mai, Improved Caffarelli–Kohn–Nirenberg Inequalities and Uncertainty Principle, Journal of Geometric Analysis, 34 (2024), 1-26.
3. Xuan Chen, Pei Dang, Weixiong Mai, Lp-theory of linear canonical transforms and related uncertainty principles, Mathematical Mehtods in the Applied Sciences, 47 (2024), 6272-6300.
4. Manli Liu, Weixiong Mai, Guokuan Shao, On equidistribution theorem for multi-sequences of holomorphic line bundles, accepted by Science China Mathematics, arXiv:2208.03517 [math.CV], 2024.
5. Ping Liang, Pei Dang, Weixiong Mai, Shuang Li, Heisenberg-Pauli-Weyl uncertainty principle for ambiguity function, accepted by Applicable Analysis, 2024.
6. Weixiong Mai, Guokuan Shao, On the Bergman kernel in weighted monogenic Bargmann-Fock spaces, Advances in Mathematics, 415 (2023), 1-27.
7. Weixiong Mai, Jianyu Ou, Three balls theorem for eigenfunctions of Dirac operator in Clifford analysis, Journal of Mathematical Analysis and Applications, 526 (2023), 1-14.
8. Pei Dang, Chuang Li, Weixiong Mai, Wenliang Pan, Uncertainty principles for random signals, Applied Mathematics and Computation, 444 (2023), 1-20.
9. Wenliang Pan, Yujue Li, Jianwu Liu, Pei Dang, Weixiong Mai, Metric distribution discrepancy in metric space, Statistics and Its Interface, 16 (2023), 565-578.
10. Pei Dang, Weixiong Mai, Wenliang Pan, Uncertainty principle in random Quaternion domains, Digital Signal Processing, 136 (2023), 1-17.
11. Weixiong Mai, Tao Qian, Algorithm of adaptive Fourier decomposition in H^2(C_+), International Journal of Wavelets, Multiresolution and Information Processing, 21 (2023), 1-10.
12. Pei Dang, Weixiong Mai, Tao Qian, On monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type, Advances in Applied Clifford Algebras, 32 (2022), 1-29.
13. Pei Dang, Weixiong Mai, Tao Qian, Adaptive decompositions in monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type, Complex Analysis and Operator Theory, 16 (2022), 1-17.
14. Weixiong Mai, Tao Qian, The Fourier type expansions on tubes, Complex Variables and Elliptic Equations, 67 (2022), 433-461.
15. 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.
16. 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.
17. Pei Dang, Weixiong Mai, A remark on Riesz bases of subspaces in Hardy spaces, Complex Variables and Elliptic Equations, 65 (2020), 1950-1961.
18. Tao Qian, Jianzhong Wang, Weixiong Mai, An enhancement algorithm for cyclic adaptive Fourier decomposition, Applied and Computational Harmonic Analysis, 47 (2019), 516-525.
19. Weixiong Mai, Tao Qian, Rational approximation in Hardy spaces on strips, Complex Variables and Elliptic Equations, 63 (2018), 1721-1738.
20. Weixiong Mai, Tao Qian, Aveiro method in reproducing kernel Hilbert spaces under complete dictionary, Mathematical Methods in the Applied Sciences, 40 (2017), 7240-7254.
21. 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.
22. Qiuhui Chen, Weixiong Mai, Liming Zhang, Wen Mi, System identification by discrete rational atoms, Automatica, 56 (2015), 53-59.
