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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  
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  
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  
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  
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