Kit Ian KOU, Anna高潔欣 Associate Professor 
Academic Qualification
 Ph.D. in Mathematics, UM (2005)
 M.Sc. in Mathematics, UM (1999)
 B.Ed. in Mathematics, UM (1996)
Google Scholar Address
Working Experience

Associate Professor, Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao. 

Assistant Professor, Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao. 

Research Fellow, Clare Hall, University of Cambridge, Cambridge United Kingdom 

Assistant Professor, Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao. 

Lecturer, Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao. 

Teaching Assistant, Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao. 
Teaching
M.Sc. and Ph.D Courses
 Topics in Analysis (IMAT016)
 Reading course (IMAT012)
 Clifford Analysis (IMAT005)
 Advance in Mathematics (IMSE002)
 Advanced Engineering Mathematics (MATH801)
B.Sc. Courses
 Mathematical Analysis I (MATH101)
 Mathematical Analysis II (MATB221)
 Finite Mathematics (EDUC106)
 Mathematical Analysis III (MATH200/ EDUC352)
 Mathematical Analysis IV (MATH201)
 Numerical Methods and Computation (MATH207)
 Probability and Statistics (EDUC212/254)
 Probability (MATB213)
 Multivariate Calculus (EDUC252)
 Ordinary Differential Equations (EDUC320)
 Mathematical Analysis III (EDUC352)
 Complex Analysis (EDUC354/MATB311)
 Mathematical Physics Methods (EDUC414)
 Partial Differential Equations (EDUC446)
 Seminar (EDUC491)
Research
Research Interests
 Fourier analysis
 Quaternion and Clifford analysis
 Windowed linear canonical analysis
 Shannon sampling theorems
 Harmonic analysis in Euclidean spaces
 Signal and image analysis
Research Projects and Grants
External Grants:
 22/07/201621/07/2019: Macau Government FDCT/031/2016/A1. Quaternion Linear Canonical Transforms and Applications, funded by the FDCT. Principal Investigator.
 01/01/201631/12/2018: National Natural Foundation for Youth Scholars No. 11501015, 半空间中次调和函数的Matseav 定理, funded by the NSFC, CoPrincipal Investigator.
 01/01/201531/12/2017: National Natural Foundation for Youth Scholars No. 11401606, The related topics about spheroidal wave functions in quaternion analysis (四元数分析中椭球体波函数相关问题的研究), funded by the NSFC，UMacau Research Institute, Zhuhai, Guandong, China. Principal Investigator.
 03/10/201302/10/2016: Macau Government FDCT/099/2012/A3. Generalized spheroidal wave functions and applications in Quaternion Analysis, funded by the FDCT. Principal Investigator.
 05/10/201204/10/2014: Macau Government FDCT/094/2011/A. Clifford analysis and applications, funded by the FDCT. Principal Investigator.
 01/01/201031/12/2012: National Natural Foundation for Youth Scholars No.10901166, Clifford analysis methods in higher dimensional space, by Y. Yang (PI) and K.I. Kou (CoPI), funded by the NSFC.
Internal Grants (Principal Investigator)
 16/7/201515/7/2018:MYRG201500058FST. The Application of Quaternions to Some Signal Problems, funded by the Research Committee of UM.Principle Investigator.
 13/03/201412/03/2017：MRG012/KKI/2014/FST.Genearlized pheroidal wave functions and applications in Quaternion Analysis, funded by the Research Committee of UM. Principle Investigator.
 May 2013June 2016: MYRG099 (Y1L2)FST13KKI. Fourier Analysis and Applications, funded by the Research Committee of UM. Principle Investigator.
 January 2013December 2014: MRG002/KKI/2013/FST. Clifford Analysis and Applications, funded by the Research Committee of UM. Principal Investigator.
 June 2011April 2015: MYRG142(Y3L2)FST11KKI. TimeFrequency Analysis and Applications, funded by the Research Committee of UM. Principal Investigator.
 January 2010December 2011: RG076/0910S/11R/KKI/FST. Applied Complex and Harmonic Analysis in Euclidean Space, funded by the Research Committee of UM. Principal Investigator.
 January 2007 – June 2009: RG070/0607S/09T/KKI/FST. Hardy Spaces of Monogenic Functions & Applications, funded by the Research Committee of University of Macau. Principal Investigator.
 January 2005 – December 2006: RG059/0506S/QT/FST. PaleyWiener and Shannon Sampling Theorems in Hypercomplex Analysis, funded by the Research Committee of University of Macau. CoPrincipal Investigator.
 January 2003 – December 2005: RG091/0405S/C117. Clifford Analysis Methods in Harmonic Analysis, funded by the Research Committee of University of Macau. CoPrincipal Investigator.
 January 2002 – December 2002: RG055/0102S/QT/FST. (a) Monogenic Sinc Function and Applications; (b) Harmonic Analysis on the Unit Spheres in Higher Dimensional Euclidean Space, funded by the Research Committee of University of Macau, CoPrincipal Investigator.
 January 2000 – December 2001: RG024/0001S/QT/FST. Higher Dimensional Sinc Methods and Applications in Partial Differential Equations, funded by the Research Committee of University of Macau, , two years. CoPrincipal Investigator.
Academic Activities
Academic Visiting and Delivering Lectures in Mathematical Institutions
Belgium:
 Ghent University (1823 June 2006, Frank Sommen, Fred Brackex)
China P.R:
 Beijing Normal University, Beijing, China (815 August, 2012, Guan Tie Deng)
 Xiamen University, Xiamen (8 – 14 August, 2005, Chun Hui Qiu; 20 – 25 December, 2012, Chun Hui Qiu)
Hong Kong:
 The Chinese University of Hong Kong, Hong Kong (July 1998, Raymond Chan)
Japan:
 International Christian University, Tokyo (29 Feb, 2014, Eckhard Hitzer)
Malaysia:
 The institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia (2026 Dec 2013)
Portugal:
 Aveiro University, Aveiro (2329 June 2006, Paula Cerejeiras, Uwe Kaehler)
Taiwan:
 Department of Electrical Engineering, National Taiwan University, Taiwan (27 Dec 20131 Jan 2014, JianJiun Ding)
 Notional Center for Theoretical Sciences Mathematics Division, Hsinchu, Taiwan. (17 July 2014, DerChen Chang)
Thailand:
 King Mongkut’s University of Technology Thonburi, Bangkok Thailand (2331 July, 2014, Thiradet Jiarasuksakun)
United Kingdom:
 University of Cambridge, Cambridge (Clare Hall, 15 Jan 15 July, 2006, A. F. Beardon)
Academic Visitors Invited Supported By My Research Grants:
Australia:
 2009: Alan McIntosh (Harmonic Analysis, PDEs, Operator Theory), Macquarie University, the Australian National University (to University of Macau)
Belgium:
 2007: Fred Brackx (Clifford Analysis), Ghent University (to University of Macau)
 2007: Hennie De Schepper (Clifford Analysis), Ghent University (to University of Macau)
China P.R.:
 2011, 2012, 2013, 2014: Yan YANG (Clifford Analysis), Sun YatSen University, Guangzhou
 2012: Yan Hui ZHANG (Complex Analysis), Beijing Technology and Business University, Beijing (to University of Macau)
 2013, 2014: Ming Sheng LIU (Complex Analysis), South China Normal University, Guangzhou, P. R. China.
 2014: Luo Qing LI (Signal Analysis), Hubei University, Wuhan, China
 2014: Yang LIU (Clifford Analysis and Control Theory), Zhejiang Normal University, Jinhua, China
 2014: Jun Feng XU (Complex Analysis), Wuyi University, Jiangmen, China
 2015: Yong Hui XIA (Partial Differential Equations), Zhejiang Normal University, Jinhua, China
Japan:
 2014: Eckhard Hitzer (Clifford Analysis), International Christian University, Tokyo, Japan
 2015: (Wavelet Analysis)
Portugal:
 2007, 2008: Palua Cerejeiras and Uwe Kaehler (Clifford Analysis), University of Aveiro, Aveiro
 2011, 2012, 2013: Joao Morais (Quaternion Analysis), University of Aveiro, Aveiro
Conferences Attended:
 The 22nd international conference on finite or infinite dimensional complex analysis and applications, 08/08/2014 to 11/08/2014, on the campus of Dongguk University, Gyeongju, Korea.
 2014 NCTS Workshop on Geometric and Singular Analysis, July 34, 2014, Notional Center for Theoretical Sciences Mathematics Division, Hsinchu, Taiwan.
 The Sixth International Congress of Chinese Mathematicians (ICCM 2013). Opening ceremony: July 14, 2013, in the Grand Ballroom of the Grand Hotel, Taipei; Lectures and invited talks: July 15 to July 19, 2013, on the campus of National Taiwan University.
 Harmonic Analysis and its Applications, Jinhua, China, 1216 October, 2012.
 International Conference on Several Complex Variables Analysis, Henan, China, 1621 August, 2012.
 The 20^{th} International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Hanoi, Vietnam, 29 July3 August, 2012
 The 9^{th} International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2011), GHotels, Halkidiki, Greece, 1925 September 2011
 The 18^{th} International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, the local organization committee, University of Macau, Macau, 1317 August 2010
 Symposium on HyperComplex Analysis, University of Macau, Macau, 48 December 2006
 Function Theories in Higher Dimensions, Institute of Mathematics, Tampere University of Technology, Tampere, Finland, 1216 June 2006
 Workshop on the recent developments of the HilbertHuang Transform methodology and its applications, National Central University, Chungli, Taiwan, 1517 March 2006
 International Conference on Several Complex Variables, USTC, Hefei Anhui, P. R. of China, June 2005
 Fourth ISAAC (International Society for Analysis, its Applications and Computation) Congress 2003, Toronto, Canada, August 2003
 ICM 2002 International Congress of Mathematicians, Beijing, China, August 2002
 International Conference on Clifford Analysis and Its Applications, Macau, August 2002
 ICCA 6^{th} International Conference on Clifford Algebras and Their Applications, Cookeville, Tennessee, USA, May 2002
 The Center for Mathematics and its Applications National Research Symposium — Banach Spaces, Operators and Algebras, Canberra, Australia, January 2001
 International Congress of Chinese Mathematicians (ICCM), Beijing, China, December 1998
 The Eighth International Congress on Computational and Applied Mathematics (ICCAM 98), Leuven, Belgium, August 1998
Ph.D. students and their thesis topics:
 Graduated
 CuiMing Zou (Sept 2013January 2017). Theory and Applications of Spheroidal Wave Quaternionic Signal. (Principle supervisor)
 XiaoXiao Hu (August 2014July 2017). Spheroidal Functions in HigherDimensional Spaces. (Principle supervisor)
 ZhenFeng Cai (January 2015 January 2018). Quaternion Differential Equations and Applications. (Principle supervisor)
 On going
 Dong Cheng (since 9/2015). (Principle supervisor)
 WenShen Bi (since 9/2015). (Principle supervisor)
 Wan Kai Liu (since 9/2016). (Principle supervisor)
Master students and their thesis topics:
 Graduated
 YueLin Liu (2009). The linear canonical transform and generalized Hilbert transform with applications in signal processing.
 RuiHui Xu (2011). Windowed linear canonical transform and its applications.JianYu Ou (2013). Uncertainty principles for quaternionic linear canonical transform and applications.
 LePing Liang (2013). Paley Wiener theorem under linear canonical transform of slice monogenic functions
 ZeZhen Cao (2013). Linear canonical transform and applications.
 Ka Man Lei (2014). A tighter uncertainty principle for hypercomplex signals in the linear canonical transform domains.
 Dong Cheng (2015). The generalized sampling expansions associated with quaternion Fourier transform
 Xiao Jun Li (2016). Linear canonical transform in timefrequency analysis.
Postdoctoral and Research Associate Fellows and their Major Research Areas
 2010, 2012, 2013: Joao MORAIS (Hypercomplex and Clifford Analysis), University of Aveiro, Portugal.
 2012, 2013, 2014: Ming Sheng LIU (Complex Analysis), South China Normal University, Guangzhou, P. R. China.
 2012, 2013, 2014:Yan YANG (Clifford Analysis and Signal Analysis), Sun YatSen University, Guangzhou, P. R. China.
 2013, 2014: Yang LIU (Signal and Control Theory), Zhejiang Normal University, Jinhua, P. R. China.
 2014: Hong LI (Signal and Data Analysis), Huazhong University of Science and Technology. P. R. China.
 2014, 2015: Jun Ming LIU (Complex and Signal Analysis), Shantou University, P. R. China.
 2014: Jun Feng XU (Complex and Signal Analysis), Wuyi University, Jiangmen, P. R. China.
 2015: Ming Sheng LIU (Quaternion Analysis), South China Normal University, Gauangzhou, P.R. China; Yonghui XIA (Partial Differential Equations), Zhejiang Normal University, Jinhua, P. R. China.
 2016: Ming Sheng LIU (Quaternion Analysis), South China Normal University, Gauangzhou, P.R. China; Yonghui XIA (Partial Differential Equations), Zhejiang Normal University, Jinhua, P. R. China.
Publications
 Z. Cai, K.I. Kou,Solving Quaternion Ordinary Differential Equations with TwoSided Coefficients, Qualitative Theory of Dynamical Systems, 2017. Page 112. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 B. Li, Y. Liu, K.I. Kou and L. Yu, EventTriggered Control for the Disturbance Decoupling Problem of Boolean Control Networks, IEEE Transactions on Cybernetics, 2017. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 D. Cheng, K.I. Kou, Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal Wave functions, Adv. Appl. Clifford Algebras, 2017. (NSFC11401606, MYRG2015, FDCT094, FDCT099)
 K.I. Kou, J. Liu, Which Linear Operators Preserve Outer Functions? Indagationes Mathematicae, 23 August, 2017. (NSFC11401606, MYRG2015, FDCT094, FDCT099)
 J. Chu, S. Heidarkhani, K.I. Kou, and A. Salari, Weak Solutions and Energy Estimates for a Degenerate Nonlocal Problem Involving Sublinear Nonlinearities, J. Korean Math. Soc. 54 (2017), No. 5, pp. 15731594. (NSFC11401606, MYRG2015, FDCT099)
 C. Zou, K.I. Kou and J. Morais, Prolate spheroidal wave functions associated with the quaternionic Fourier transform, Mathematical Methods in Applied Sciences, 2017. (NSFC11401606, MYRG2015, FDCT094, FDCT099)
 D Zhang, K.I. Kou, Y Liu, J Cao, Decomposition approach to the stability of recurrent neural networks with asynchronous time delays in quaternion field, Neural Networks, 2017. (NSFC11401606, MYRG2015, FDCT099)
 J. Li and K.I. Kou, Dynamics of Traveling Wave Solutions to a New Highly Nonlinear Shallow Water Wave Equation, International Journal of Bifurcation and Chaos, 27 (03), 1750044, 2017. (NSFC11401606, MYRG2015, FDCT099, FDCT031)
 Y. Zhang, K.I. Kou, Integral representation and estimation of harmonic functions in the quaternionic half space, Mathematical Methods in the Applied Sciences, 27 April, 2017. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 Y. Zhang, K.I. Kou, G. Deng, T. Qian, The generalized Matsave theorem on grwth of subharmonic functions admitting a lower bound in Rn, Complex Variables and Elliptic Equations, 62(5), 642653, 2017. (FDCT099)
 Z. Cai and K.I. Kou, Laplace transform: a new approach in solving linear quaternion differential equations, Mathematical Methods in the Applied Sciences, 2017. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 D. Cheng and K.I. Kou, Generalized Sampling Expansions Associated with Quaternion Fourier Transform, Mathematical Methods in the Applied Sciences, 2017. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 C. Zou, K.I. Kou, J. Morais, Prolate Spheroidal Wave Functions Associated with the Quaternionic Fourier Transform, Mathematical Methods in the Applied Sciences, 2017. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 Y. Yang, K.I. Kou, C. Zou. Edge detection methods based on modified differential phase congruency of monogenic signal, Multidimensional Systems and Signal Processing, 2017: 121. (NSFC11401606, MYRG2015, FDCT031, FDCT099)
 K.I. Kou, Yang~Y, Zou~C. Uncertainty Principle for Measurable Sets and Signal Recovery in Quaternion Domains, to appear in Mathematical Methods in the Applied Sciences, 2017. (NSFC11401606, MYRG2015, FDCT094, FDCT099)
 X. Hu and K.I. Kou. Quaternion Fourier and linear canonical inversion theorems. Mathematical Methods in the Applied Sciences (2016). (NSFC11401606, MYRG2015, FDCT099)
 X. Fan, K.I. Kou and M. Liu, Quaternion Wigner–Ville distribution associated with the linear canonical transforms, Signal Processing, 130 (2017), 129141. (NSFC11401606, MYRG2015, FDCT099)
 K.I. Kou and J. Li, Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schr¨odinger Equation, Int. J. Bifurcation and Chaos 26 (6) 1650106 (2016)[22 pages] (NSFC11401606, MYRG2015,MYRG099, FDCT094, FDCT099)
 Dong, B., K. I. Kou., Qian, T., & Sabadini, I. (2016). On the inversion of Fueter’s theorem. Journal of Geometry and Physics, 108, 102116. (MYRG2015)
 K. I. Kou, Yijun Lou, and YongHui Xia, Zeros of a Class of transcendental Equation with Application to Bifurcation of DDE, Int. J. Bifurcation and Chaos 26, 1650062 (2016) [14 pages] DOI:http://dx.doi.org/10.1142/S0218127416500620(NSFC10901166, MYRG099, MYRG2015, FDCT094, FDCT099)
 Y. Xia, L. Chen, K. I. Kou, D. O’Regan, Hölder Regularity of Grobman–Hartman Theorem for Dynamic Equations on Measure Chains, Bulletin of the Malaysian Mathematical Sciences Society, pp 128, First online: 12 May 2016 (NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 C. Zou, K. I. Kou, and Y. Wang, Quaternion Collaborative and Sparse Representation with Application to Color Face Recognition, IEEE Transactions on Image Processing, 2016. (NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 K. I. Kou, MingSheng Liu and ShuZhen Tao,Herglotz’s theorem and quaternion series of positive term, Mathematical Methods in the Applied Sciences, 2016, 39(18): 56075618. (NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 K. I. Kou, M. Liu, J. Morais, C. Zou, Envelope Detection Using Generalized Analytic Signal in 2D QLCT Domains, Multidimensional Systems and Signal Process, 2016. (NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099) DOI :10.1007/s1104501604107.
 K.I. Kou and H. Li, Greedy adaptive decomposition of signals based on nonlinear Fourier atoms, International Journal of Wavelets, Multiresolution and Information Processing, 2016.(NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 Y. Songy, H. Li, J. Wang, K. I. Kou, Multiple OneDimensional Embedding Clustering Scheme for Hyperspectral Image Classification, International Journal of Wavelets, Multiresolution and Information Processing, 14 (2), 2016. (NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 J. Morais and K. I. Kou, Constructing Prolate Spheroidal Quaternion Wave Functions on the Sphere, Mathematical Methods in the Applied Sciences, 2016. (NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 Y. Yang and K.I. Kou, Novel uncertainty principles associated with 2D quaternion Fourier transforms, Integral Transforms and Special Functions, 27 (3), 213226, 2016.(NSFC11401606, MYRG099, MYRG2015, FDCT094, FDCT099)
 K. I. Kou, Y. Liu, D. Zhang and Y. Tu, Ensemble control of linear systems with parameter uncertainties, International Journal of Control, 27 (3), 213226, 2016. (NSFC11401606, FDCT094, FDCT099, MYRG099, MYRG2015))
 W Zhang, KI Kou, J Lou, Y Liu, Observer based consensus for nonlinear multiagent systems with communication failures, Neurocomputing, Vol. 173, 10341043. (NSFC11401606, MYRG099, MYRG142, FDCT094, FDCT099)
 K. I. Kou, J. Ou and J. Morais, Uncertainty principles associated with quaternionic linear canonical transforms, Mathematical Methods in the Applied Sciences, Vol. 39, 10, 2722–2736 July (2016). (MYRG099, MYRG2015, FDCT094, FDCT099)
 J. Morais, M.A. Pérezde la Rosa, K.I. Kou, Computational Geometric and Boundary Value Properties of Oblate Spheroidal Quaternionic Wave Functions, Wave Motion, 57 (2015) 112128. (MYRG142, FDCT094)
 J. Morais, H.M. Nguyen, K.I. Kou, On 3D Orthogonal Prolate Spheroidal Monogenics, Mathematical Methods in the Applied Sciences. (MRG002, MYRG142, MYRG099, FDCT094, FDCT099, MRG012)
 M. Liu, K.I. Kou, J. Morais and P. Dang, Sharper Uncertainty Principles for the Windowed Fourier Transform, Journal of Modern Optics, 62 (1), 4655, 2015. (MRG002, MYRG142, MYRG099, FDCT094, FDCT099, MRG012)
 Y. Zhang, G. Deng, K.I. Kou, Asymptotic behavior of fractional aplacians in the half space, Applied Mathematics and Computation 254, 125132, 2015. (MYRG099, MYRG142, FDCT094, FDCT099)
 L. Chen, K.I. Kou, M. Liu, Pitt’s inequality and the uncertainty principle associated with the quaternion Fourier transform, Journal of Mathematical Analysis and Applications 423 (1), 681700, 2015. (NSFC10901166, MYRG099, MYRG142, FDCT094, FDCT099)
 L Lee, K.I. Kou, W Zhang, J Liang, Y Liu, Robust finitetime boundedness of multiagent systems subject to parametric uncertainties and disturbances, International Journal of Systems Science, 19, 2015 (NSFC10901166, MYRG099, MYRG142, FDCT094, FDCT099)
 YH Xia, R Wang, K.I. Kou, D O’Regan, On the linearization theorem for nonautonomous differential equations, Bulletin des Sciences Mathématiques, 2014. (NSFC10901166, MYRG099, MYRG142, FDCT094, FDCT099)
 Y. Yang and K. I. Kou, Uncertainty Principles for Hypercomplex Signals in the Linear Canonical Transform Domains, Signal Processing. Vol. 95, Feb 2014, 6775. ISSN 01651684 [YK13.pdf] (SCIE) (NSFC10901166, MRG002, MYRG099, MYRG142, FDCT094)
 K.I. Kou and J. Morais, Asymptotic Behaviour of the Quaternion Linear Canonical Transform and the BochnerMinlos Theorem, Applied Mathematics and Computation, 247, 675688, 2014. (MRG002, MYRG142, MYRG099, FDCT094, FDCT099, MRG012)
 M. Liu, K.I. Kou, J. Morais and P. Dang, Signal Moments for the ShortTime Fourier Transform Associated with HardySobolev Derivatives, Mathematical Methods in the Applied Sciences, 2014. (MRG002, MYRG142, MYRG099, FDCT094, FDCT099, MRG012)
 J. Morais, K.I. Kou and H.T. Le, Generalized Holomorphic Orthogonal Function Systems over Infinite Cylinders, Mathematical Methods in the Applied Sciences. Article first published online: 12 AUG 2014, DOI: 10.1002/mma.3243 (MRG002, MYRG142, MYRG099, FDCT094, FDCT099, MRG012)
 Y. H. Zhang, K.I. Kou and G. T. Deng, Integral Representation and Asymptotic Behavior of Harmonic Functions in Half Space, Journal of Differential Equations, 257(8), 27532764 (2014) , DOI: 10.1016/j.jde.2014.05.047 (MRG002, MYRG142, MYRG099, FDCT094, FDCT099, MRG012)
 K. I. Kou, J. Ou^ and J. Morais, On uncertainty principle for quaternionic linear canonical transform, Abstract and Applied Analysis, Vol. 2013, Article ID 725952, 14 pages, (2013). doi:10.1155/2013/725952. [KOM13.pdf] (MYRG142, FDCT094)
 J. Morais, K.I. Kou and W. Sproessig, Generalized holomorphic Szego kernel in 3D spheroids, Computers and Mathematics with Applications, Vol. 65 (4), Feb 2013, 576 – 588, (2013). ISSN: 08981221 [MKS13.pdf] (SCIE) (MYRG142, FDCT094)
 J. Morais, K.I. Kou and S. Georgiev, On convergence properties of 3D spheroidal monogenics, International Journal of wavelets multiresolution and information processing, Vol. 11, 1350024, (2013) [19 pages] doi: 10.1142/S0219691313500240, ISSN 02196913 [MKG12.pdf] (MYRG142, FDCT094)
 K. Kou, J. Morais and Y. Zhang, Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis, Mathematical Methods in the Applied Sciences, 36: 1028–1041, (2013). doi: 10.1002/mma.2657, ISSN 10732772 [KMZ12.pdf] (MYRG142)
 Z. Du, K. Kou and J. Wang^, Lp polyharmonic Dirichlet problems in regular domains I: The unit disc, Complex Variables and Elliptic Equations, Vol. 1, 119, (2012). ISSN 17476933 (Print), 17476941 (Online) [DKW12.pdf] (SCIE) DOI: 10.1080/17476933.2012.678993
 K. Kou, R. Xu^ and Y. Zhang, PaleyWiener theorems and uncertainty principles for the windowed linear canonical transform, Mathematical Methods in the Applied Sciences, 35: 2122–2132. doi: 10.1002/mma.2642 (2012), ISSN 10732772 [KXZ11.pdf] (SCIE )
 K. Kou and R. Xu^, Windowed linear canonical transform and its applications, Signal Processing, 92(1), 179188, (2012). ISSN 01651684 [KX12.pdf] (SCI)
 Y. Zhang, G. Deng and K. Kou, On the lower bound for a class of harmonic functions in the half space, Acta Mathematica Scientia, 2012, 32 B (4), 14871494. ISSN 02529602 [ZDK12.pdf] (SCI)
 Y. Liu^, K. Kou and I. Ho, New sampling formulae for nonbandlimited signals associated with linear canonical transform and nonlinear Fourier atoms, Signal Processing, 90(3), 933945, (2010). ISSN 01651684 [LKH10.pdf] (SCI)
 A. Axelsson, K. Kou and T. Qian, Hilbert transforms and the Cauchy integral in Euclidean space, Studia Mathematica, 193(2), 161187, (2009). [AKQ09.pdf](SCI)
 F. Brackx, N. De Schepper, K. Kou and F. Sommen, The Mehler Formula for the Generalized CliffordHermite Polynomials, Acta Mathematica Sinica, English Series, 23(4), 697704, (2007). ISSN 14398516 CN: 112039/O1 [FSKS07.pdf](SCI)
 K. Kou , T. Qian and F. Sommen, Sampling with Bessel Functions, Advances in Applied Clifford Albebras, 17(3), 519536, (2007). ISSN 01887009 [KQS07.pdf]
 K. Kou and T. Qian, Shannon Sampling in the Clifford Analysis Setting, Journal for Analysis and its Applications (ZEITSCHRIFT FÜR ANALYSIS UND IHRE ANWENDUNGEN), 24(4), 853870, (2005). ISSN 09725954 [KQ05b.pdf]
 K. Kou and T. Qian, Shannon Sampling and Estimation of Bandlimited Functions in the Several Complex Variables Setting, Acta Mathematica Scientia, Series B, English Edition, 25(4), 741754, Oct (2005). ISSN 02529602 CN: 421227/0 [KQ05a.pdf]
 K. Kou, T. Qian and F. Sommen, Generalizations of Fueter’s Theorem, Methods and Applications of Analysis, 9(2), 273290, June (2002). ISSN 10732772 [KQS02.pdf]
 K. Kou and T. Qian, The PaleyWiener Theorem in R^n with the Clifford Analysis Setting, Journal of Funcnctional Analysis, 189(1), 227241(15), Feb (2002). ISSN 00221236 [KQ02.pdf] (SCI)
 K. Kou, V. Sin and X. Jin, A Note on the Fast Algorithm for Block Toeplitz Systems with Tensor Structure, Applied Mathematics and Computation, 126, 187197 (2002). ISSN 00963003 [KSJ02.pdf]
 S. Lei, K. Kou and X. Jin, Circulantlike Block Preconditioners for IllConditioned Block Toeplitz Systems, EastWest Journal of Numerical Mathematics, 7(3), 175185 (1999). ISSN 1513489X[LKJ99.pdf]
 K. Kou, X. Jin and V. Sin, The Sine Transform Operator in the Banach Space of Symmetric Matrices and Its Application in Image Restoration, Numerical Mathematics, A Journal of Chinese Universities, English series, 8(2), 231242 (1999). ISSN 10048979 [KJS99.pdf]
^ This author is a student under my supervision when he/she completed this article.
Book Chapters
 S. Georgiev, J. Morais, K.I. Kou and W. Sprößig. BochnerMinlos Theorem and Quaternion Fourier Transform. In Eckhard Hitzer and Steve Sangwine, Quaternion and Clifford Fourier Transforms and Wavelets, Springer, Birkhauser Trends in Mathematics Series, 105120 (2013). [GMKS13.pdf]
 X. Jin and K. Kou, A Brief Survey of Block Toeplitz Iterative Solvers, Transactions of K. C.Wong Education Foundation Supported Lectures, Vol. 22, pp. 127. Ed: W. Qian, Shanghai University Press, 2002.
Refereed Proceeding Papers
 K. Kou, New generalizations of Fueter’s theorem, American Institute of Physics Conference Proceedings, DOI:10.1063/1.3636722 Vol. 1389, pp. 284287; NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. Date: 19 — 25 September 2011 Location: Halkidiki, (Greece) ISBN: 9780735409569.
 X. Jin and K. Kou, A Brief Survey of Block Toeplitz Iterative Solvers, Transactions of K. C.Wong Education Foundation Supported Lectures, Vol. 22, pp. 127. Ed: W. Qian, Shanghai University Press, 2002.
Professional Affiliations
 Founding member of the ISAAC interest group on Clifford and Quaternionic analysis since January, 2011;
 Fellow – Stanley Ho East Asia College (SHEAC), University of Macau.
 Life Member (ID: 4939) of Clare Hall, A College for Advanced Study in the University of Cambridge, United Kingdom.
Contact Details
Faculty of Science and Technology
University of Macau, E11
Avenida da Universidade, Taipa,
Macau, China
Room: E113067
Telephone: (853) 88224472
Fax: (853) 88222426
Email: kikou