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Phase-based edge detection algorithms Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Hu X.-X.;  Kou K.I.
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edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Prolate spheroidal wave functions associated with the quaternionic Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Zou C.;  Kou K.I.;  Morais J.
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bandlimited extrapolation  Mathieu functions  quaternionic analysis  quaternionic Fourier transform  quaternionic signal  the energy concentration problem  
Generalized sampling expansions associated with quaternion Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Cheng D.;  Kou K.I.
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convolution theorem  generalized sampling expansions  generalized translation  quaternion Fourier transform  quaternion linear canonical transform  Quaternion-valued signals  
Laplace transform: a new approach in solving linear quaternion differential equations Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Cai Z.-F.;  Kou K.I.
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initial value problems  Laplace transform  quaternion  quaternion differential equations  
Hölder Regularity of Grobman–Hartman Theorem for Dynamic Equations on Measure Chains Journal article
Bulletin of the Malaysian Mathematical Sciences Society, 2018,Volume: 41,Issue: 3,Page: 1153-1180
Authors:  Xia Y.;  Chen L.;  Kou K.I.;  O'Regan D.
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Exponential Dichotomy  Linearization  Measure Chains  Regularity  Time Scale  
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 D.;  Kou K.I.;  Xia Y.H.
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Difference equations  Dynamic systems on time scales  Fundamental solution matrix  Quaternions  
Hartman–Grobman Theorem for the Impulsive System with Unbounded Nonlinear Term Journal article
Qualitative Theory of Dynamical Systems, 2017,Volume: 16,Issue: 3,Page: 705-730
Authors:  Xia Y.;  Huang H.;  Kou K.I.
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Impulsive differential equation  Linearization  Unbounded  
Weak solutions and energy estimates for a degenerate nonlocal problem involving sub-linear nonlinearities Journal article
Journal of the Korean Mathematical Society, 2017,Volume: 54,Issue: 5,Page: 1573-1594
Authors:  Chu J.;  Heidarkhani S.;  Kou K.I.;  Salari A.
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Critical Point Theory  Multiple Solutions  Nonlocal Problem  P-laplacian Operator  Singularity  
Quaternion Wigner–Ville distribution associated with the linear canonical transforms Journal article
Signal Processing, 2017,Volume: 130,Page: 129-141
Authors:  Fan X.-L.;  Kou K.I.;  Liu M.-S.
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2d Quaternion Wigner–ville Distribution  Linear Frequency Modulation  Quaternion Ambiguity Function  Quaternion Linear Canonical Transform  
Herglotz's theorem and quaternion series of positive term Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 18,Page: 5607-5618
Authors:  Kou K.I.;  Liu M.-S.;  Tao S.-Z.
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Herglotz's Theorem  The (Two-sided) Quaternion Linear Canonical Transform  The Positive-definite Quaternion Function  The Positive-definite Quaternion Sequence  The Quaternion Infinite Series Of Positive Term