Academic Qualification

Ph.D. in University of Macau

Master in Wuhan University

Bachelor in Henan Normal University

Teaching Area

Calculus

Linear algebra

Research Area

Signal processing

Clifford Analysis

Time-Frequency Analysis

Complex Analysis of One and Several variables

Harmonic analysis in Euclidean spaces

Working Experience

Jul. 2023 ~ present, Professor, Macau University of Science and Technology

Jul. 2021 ~ Jun. 2023, Associate Professor, Macau University of Science and Technology

Nov. 2011 ~ Jun. 2016, Assistant Professor, Macau University of Science and Technology

Sep. 2009~Nov. 2011, Lecturer, Macau University of Science and Technology

Academic Publication (selected)

1.          Ping Liang, Pei Dang, Weixiong Mai and Shuang Li, Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function. Applicable Analysis, https://doi.org/10.1080/00036811.2024.2355660.

2.          Xuan Chen, Pei Dang and Weixiong Mai. -theory of linear canonical transforms and related uncertainty principle. Mathematical Methods in the Applied Sciences, https://doi.org/10.1002/mma.9920, 28 January 2024.

3.          Pei Dang, and Weixiong Mai. Improved Caffarelli–Kohn–Nirenberg Inequalities and Uncertainty Principle. The Journal of Geometric Analysis, vol. 34.3 (2024): 70.

4.          Wenliang Pan,Yujue Li, Jianwu Liu, Pei Dang, Weixiong Mai. Metric distributional discrepancy in metric space. Statistics and Its Interface, 16(4), 565-578, 2023

5.          Pei Dang, Weixiong Mai, Wenliang Pan. Uncertainty principle in random quaternion domains, Digital Signal Processing, vol. 136, 2023: 103988.

6.          Pei Dang, Chuang Li, Weixiong Mai, Wenliang Pan. Uncertainty principles for random signals, Applied Mathematics and Computation, vol. 444, 2023: 127833.

7.          Pei Dang, Weixiong Mai, Tao Qian, Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type, Complex Analysis and Operator Theory, vol. 16, 2022: 98, https://doi.org/10.1007/s11785-022-01277-w.

8.          Pei Dang, Weixiong Mai, Tao Qian, On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type, Advances in Applied Clifford Algebras, 2022, 32(4): 1-29.

9.          Pei Dang, Jinyuan Du, Tao Qian, Riemann Boundary Value Problems for Monogenic Functions on the Hyperplane, Advances in Applied Clifford Algebras, vol. 32, Article number: 29 (2022).

10.      Hongfang Bai, Ieng Tak Leong, Pei Dang, Reproducing Kernel Representation of the Solution of Second Order Linear Three-point Boundary Value Problem, Mathematical Methods in the Applied Sciences, vol. 45, no. 17, 2022: 11181-11205.

11.      Xiaoyun Sun, Pei Dang, Ieng Tak Leong, Min Ku, Effective numerical evaluation of the double Hilbert transform, Mathematical Methods in the Applied Sciences, vol. 43, no. 7, pp. 4086-4106, 15 May 2020

12.      Weifeng Li, Pei Dang, Zhihua Du, Guoan Guo, Yumei Li, Lp polyharmonic Robin problems on Lipschitz domains, Complex Variables and Elliptic Equations, vol. 65, no. 10, pp. 1777-1791, 2 OCT 2020

13.      Pei Dang, Weixiong Mai, A remark on Riesz bases of subspaces in Hardy spaces, Complex Variables and Elliptic Equations, vol. 65, no. 11, pp. 1950-1961, November 1 2020.

14.      Pei Dang, Weixiong Mai and Tao Qian, Fourier spectrum of Clifford Hp spaces on  for 1 ≤ p ≤ ∞Journal of Mathematical Analysis and Applications, vol. 483, no. 1, March 2020.

15.      Guoan Guo, Chenkai Jin, Pei Dang, Zhihua Du, Riemann–Hilbert problems with shift on the Lyapunov curve for null-solutions of iterated Beltrami equations, Boundary Value Problems, 2019:98, December 2019.

16.      Xiaoyun Sun, Pei Dang, Numerical stability of Hilbert transform and its application to signal decomposition, Applied Mathematics and Computation, vol. 359, pp. 357-373, 15October, 2019.

17.      Wei Qu, Pei Dang, Reproducing kernel approximation in weighted Bergman spaces: algorithm and applications, Mathematical Methods in the Applied Sciences, vol. 42, no.12, Pages 4292-4304, August 2019.

18.      Qiuhui Chen, Pei Dang*, Tao Qian, Spectra of rational orthonormal systems, SCIENCE CHINA Mathematics, vol. 62, no. 10, pp 1961–1976, October 2019

19.      Wei Qu, Pei Dang, Rational Approximation in a Class of Weighted Hardy Spaces, Complex Analysis and Operator Theory, vol. 13, no.4, pp. 1827-1852, June 2019.

20.      Yuanyuan Liu, Feng Li and Pei Dang, Bifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic Loop, International Journal of Bifurcation and Chaos, vol. 28, No. 2, 1850026 (16 pages), 2018.

21.      Pei Dang, José Mourão, João P. Nunes and Tao Qian, Clifford Coherent State Transforms on Spheres, Journal of Geometry and Physics, vol. 124, pp. 225-232, January 2018.

22.   Laurent Baratchart, Pei Dang and Tao Qian, Hardy-Hodge Decomposition of Vector Fields in Transactions of the American Mathematical Society, vol. 370, pp. 2005-2022, March 2018.

23.      Pei Dang, Hua Liu, Tao Qian, Hilbert Transformation and Representation of the ax+b group, Canadian Mathematical Bulletin, vol. 61, pp. 70-84, 1, March, 2018.

24.      Pei Dang*, Tao Qian, Qiuhui Chen, Uncertainty Principle and Phase-Amplitude Analysis of Signals on the Unit Sphere, Advances in Applied Clifford Algebras, vol. 27, no. 4, pp. 2985-3013, 06 September 2017.

25.      Youfa Li, Jing Shang, Gengrong Zhang, Pei Dang, Robust multiscale analytic sampling approximation to periodic function and fast algorithm, International Journal of Wavelets, Multiresolution and Information Processing, vol. 15, no. 1, 1750006 (Jan 2017) DOI: 10.1142/S0219691317500060.

26.      Liming Zhang, Tao Qian, Weixiong Mai and Pei Dang, Adaptive Fourier decomposition-based Dirac type time-frequency distribution, Mathematical Methods in the Applied Sciences, vol. 40, no. 8, pp. 2815-2833, 30 May 2017.

27.      Pei Dang*, Shujuan Wang, Uncertainty Principles for Images Defined on the Square, Mathematical Methods in the Applied Sciences, vol. 40, no. 7, pp. 2475-2490, 15 May 2017.

28.      Qiuhui Chen, Pei Dang*, Tao Qian, A Frame Theory of Hardy Spaces with the Quternionic and the Clifford Algebra Settings, Advances in Applied Clifford Algebras, vol. 27, no. 2, pp. 1073–1101, June 2017.

29.      Juan Lin, Pei Dang*, Jin-Yuan Du, Stability of welding problem with perturbations, Applicable Analysis, vol. 96, no. 7, pp. 1188-1206, 2017.

30.      Pei Dang*, Tao Qian, Yan Yang, Extra-Strong Uncertainty Principles in Relation to Phase Derivative for Signals in Euclidean Spaces, Journal of Mathematical Analysis and Applications, vol. 437, pp. 912-940, 15 May 2016.

31.      Yan Yang, Pei Dang*, Tao Qain, Tighter uncertainty principles based on Quaternion Fourier transform, Advances in Applied Clifford Algebras, vol. 26, no. 1, pp. 479-497, March 2016. 

32.      Wei-Xiong Mai, Pei Dang, Li-Ming Zhang, Tao Qian, Consecutive minimum phase expansion of physically realizable signals with applications, Mathematical Methods in the Applied Sciences, vol. 39, no. 1, pp. 62-72, Jan 2016.

33.      Pei Dang, Tighter Uncertainty Principles For Periodic Signals in Terms of Frequency, Mathematical Methods in the Applied Sciences, vol. 38, no. 2, pp. 365-379, 2015.

34.      Pei Dang, Jin-Yuan Du, Tao Qian, Boundary Value Problems for Periodic Analysis Functions, Boundary Value Problems, 2015: 143, 2015.

35.      Yan Yang, Pei Dang, Tao Qian, Space-Frequency Analysis in Higher Dimensions and Applications, Annali di Matematica Pura Ed Applicata, vol. 194, no. 4, pp 953-968, 2015.

36.      Yan Yang, Pei Dang*, Tao Qain, Stronger Uncertainty Principles for Hypercomplex Signals, Complex Variables and Elliptic Equations, vol. 60, no. 12, pp. 1696-1711, 26 May 2015.

37.      Fuli He, Min Ku, Pei Dang, Uwe Kähler, Riemann-Hilbert problems for poly-Hardy space on the unit ball, Complex Variables and Elliptic Equations, vol. 61, no. 6, pp.772-790, 04 Jan 2016.

38.      Ming-Sheng Liu, Kit-Ian Kou, J. Morais and Pei Dang, Sharper Uncertainty Principles for the Windowed Fourier Transform, Journal of Modern Optics, vol. 62, no. 1, pp. 46-55, 2015.

39.      Ming-Sheng Liu, Kit-Ian Kou, J. Morais and Pei Dang, Signal Moments for the Short-Time Fourier Transform Associated with Hardy-Sobolev Derivatives, Mathematical Methods in the Applied Sciences, vol. 38, no. 13, pp. 2719–2730, 15 September 2015.

40.      Pei Dang, Juan Lin, Jin-Yuan Du, Stability on a kind of welding problems under perturbations, Applicable Analysis, vol. 93, no. 11, pp. 2478-2497, 2014.

41.      Pei Dang, Guan-Tie Deng and Tao Qian, A sharper uncertainty principle, Journal of Functional Aalysis, vol. 265, no. 10, pp. 2239–2266, 2013.

42.      Pei Dang, Guan-Tie Deng and Tao Qian, A Tighter Uncertainty Principle for Linear Canonical Transform in Terms of Phase Derivative, IEEE Transactions on Signal Processing, vol. 61, no. 21, pp. 5153 - 5164, 2013.

43.      Pei Dang, Tao Qian, Y.Y. Guo, Transient time-frequency distribution based on mono-component decomposition, International Journal of Wavelets, Multiresolution and Information Processing，vol. 11, 1350022 (2013) [24 pages].

44.      Pei Dang, Tao Qian, Yan Yang, Hardy-Sobolev Derivatives of Phase and Amplitude, and Their Applications, Mathematical Methods in the Applied Sciences, vol. 35, no. 17, pp. 2017–2030, 2012.

45.      Pei Dang, Tao Qian and Zhong You, Hardy-Sobolev Spaces Decomposition in Signal Analysis, Journal of Fourier Analysis and Applications, vol. 17, no. 1, pp. 36-64, 2011.

46.      Pei Dang, Tao Qian, Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase, IEEE Transactions on Signal Processing, vol. 59, no. 10, pp. 4708-4718, 2011.

47.      Tao Qian, Yanbo Wang and Pei Dang, Adaptive decomposition into mono-components, Advances in the Adaptive Data Analysis, vol. 1, no. 4, pp. 703-709, 2009.

Research Grants

2023.12---2025.12 The numerical computation adaptive theory of Riemann-Hilbert problem and applications (FDCT)          

2023.07---2024.07 Function space theory and applications of fractional Fourier transform. (FRG)

2019. 06—2022.06 Caffarelli-Kohn-Nirenberg Inequality, Hardy-Rellich inequality and Heisenberg-Pauli-Weyl inequality on complete manifolds. (FDCT)

2018.05—2021.05 Discrete Function Theory in the Setting of Clifford Algebra and Applications. (FDCT)

2018.01­­­—2020.12 Studies and Applications of Unwinding Fourier Expansion of Signals.

2015.11—2018.10 Representation of group and Hilbert transformation. (FDCT)

2015.01—2017.08 Uncertainty Principle in Signal Analysis. (FDCT)

2013.01—2014.12 Instantaneous frequency of signals, Time-Frequency distribution, and their Applications. (FDCT)

Professional Certification and Awards

2016 A third prize of Macau Natural Science Award

2013 BOC Excellent Research Award, Macau University of Science and Technology