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Plancherel theorem and quaternion Fourier transform for square integrable functions Journal article
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019,Volume: 64,Issue: 2,Page: 223-242
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download：18/0 | TC[WOS]:10 TC[Scopus]:12 | Submit date：2019/01/17
Quaternion Fourier transforms  multiplication formula  inversion theorem  Plancherel theorem  linear canonical transform  
Two-Dimensional Quaternion Sparse Principal Component Analysis Conference paper
2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, Canada, 15-20 April 2018
Authors:  Xiaolin Xiao;  Yicong Zhou
Favorite | View/Download：13/0 | TC[WOS]:2 TC[Scopus]:2 | Submit date：2019/03/26
2dpca  Quaternion  Sparse  Color Face Recognition  
Phase-based edge detection algorithms Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4148-4169
Authors:  Hu, Xiao-Xiao;  Kou, Kit Ian
Favorite | View/Download：21/0 | TC[WOS]:0 TC[Scopus]:1 | Submit date：2018/10/30
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Generalized sampling expansions associated with quaternion Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4021-4032
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download：22/0 | TC[WOS]:3 TC[Scopus]:3 | Submit date：2018/10/30
Quaternion-valued Signals  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Generalized Sampling Expansions  Generalized Translation  Convolution Theorem  
Laplace transform: a new approach in solving linear quaternion differential equations Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4033-4048
Authors:  Cai, Zhen-Feng;  Kou, Kit Ian
Favorite | View/Download：34/0 | TC[WOS]:8 TC[Scopus]:8 | Submit date：2018/10/30
Quaternion  Quaternion Differential Equations  Initial Value Problems  Laplace Transform  
Solving Quaternion Ordinary Differential Equations with Two-Sided Coefficients Journal article
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018,Volume: 17,Issue: 2,Page: 441-462
Authors:  Cai, Zhen Feng;  Kou, Kit Ian
Favorite | View/Download：20/0 | TC[WOS]:3 TC[Scopus]:3 | Submit date：2018/10/30
Differential Equations  Quaternions  Two-sided Coefficients  Solution  Noncommutativity  
Linear Quaternion Differential Equations: Basic Theory and Fundamental Results Journal article
STUDIES IN APPLIED MATHEMATICS, 2018,Volume: 141,Issue: 1,Page: 3-45
Authors:  Kou, Kit Ian;  Xia, Yong-Hui
Favorite | View/Download：34/0 | TC[WOS]:14 TC[Scopus]:14 | Submit date：2018/10/30
Quaternion Locality-Constrained Coding for Color Face Hallucination Journal article
IEEE TRANSACTIONS ON CYBERNETICS, 2018,Volume: 48,Issue: 5,Page: 1474-1485
Authors:  Liu, Licheng;  Li, Shutao;  Chen, C. L. Philip
Favorite | View/Download：18/0 | TC[WOS]:11 TC[Scopus]:14 | Submit date：2018/10/30
Color image processing  face hallucination  image super-resolution  locality-constrained coding (LCC)  quaternion algebra  
A UNIFIED ANALYSIS OF LINEAR QUATERNION DYNAMIC EQUATIONS ON TIME SCALES Journal article
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018,Volume: 8,Issue: 1,Page: 172-201
Authors:  Cheng, Dong;  Kou, Kit Lan;  Xia, Yong Hui
Favorite | View/Download：30/0 | TC[WOS]:14 TC[Scopus]:14 | Submit date：2018/10/30
Dynamic systems on time scales  difference equations  fundamental solution matrix  quaternions  
Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal Wave functions Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 4,Page: 2961-2983
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download：25/0 | TC[WOS]:4 TC[Scopus]:5 | Submit date：2018/10/30
Spectral Theorem  Prolate Spheroidal Wave Function  Quaternion Reproducing-kernel Hilbert Spaces  Quaternion Fourier Transform  Whittaker-shannon-kotel'nikov Sampling Formula