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Generalized sampling expansions associated with quaternion Fourier transform Journal article
Cheng D., Kou K.I.. Generalized sampling expansions associated with quaternion Fourier transform[J]. Mathematical Methods in the Applied Sciences, 2018, 41(11), 4021-4032.
Authors:  Cheng D.;  Kou K.I.
Favorite | TC[WOS]:14 TC[Scopus]:18 | Submit date：2019/02/13
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 Journal article
Cai Z.-F., Kou K.I.. Laplace transform: a new approach in solving linear quaternion differential equations[J]. Mathematical Methods in the Applied Sciences, 2018, 41(11), 4033-4048.
Authors:  Cai Z.-F.;  Kou K.I.
Favorite | TC[WOS]:32 TC[Scopus]:36 | Submit date：2019/02/13
Initial Value Problems  Laplace Transform  Quaternion  Quaternion Differential Equations  
Phase-based edge detection algorithms Journal article
Hu X.-X., Kou K.I.. Phase-based edge detection algorithms[J]. Mathematical Methods in the Applied Sciences, 2018, 41(11), 4148-4169.
Authors:  Hu X.-X.;  Kou K.I.
Favorite | TC[WOS]:6 TC[Scopus]:9 | Submit date：2019/02/13
Edge Detection  Hardy Space  Plemelj-sokhotzkis Formulae  Quaternion Analytic Signal  Quaternion Fourier Transform  
Hölder Regularity of Grobman–Hartman Theorem for Dynamic Equations on Measure Chains Journal article
Xia Y., Chen L., Kou K.I., O'Regan D.. Hölder Regularity of Grobman–Hartman Theorem for Dynamic Equations on Measure Chains[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41(3), 1153-1180.
Authors:  Xia Y.;  Chen L.;  Kou K.I.;  O'Regan D.
Favorite | TC[WOS]:4 TC[Scopus]:4 | Submit date：2019/02/13
Exponential Dichotomy  Linearization  Measure Chains  Regularity  Time Scale  
A unified analysis of linear quaternion dynamic equations on time scales Journal article
Cheng D., Kou K.I., Xia Y.H.. A unified analysis of linear quaternion dynamic equations on time scales[J]. Journal of Applied Analysis and Computation, 2018, 8(1), 172-201.
Authors:  Cheng D.;  Kou K.I.;  Xia Y.H.
Favorite | TC[WOS]:27 TC[Scopus]:28 | Submit date：2019/02/13
Difference Equations  Dynamic Systems On Time Scales  Fundamental Solution Matrix  Quaternions  
Hartman–Grobman Theorem for the Impulsive System with Unbounded Nonlinear Term Journal article
Xia Y., Huang H., Kou K.I.. Hartman–Grobman Theorem for the Impulsive System with Unbounded Nonlinear Term[J]. Qualitative Theory of Dynamical Systems, 2017, 16(3), 705-730.
Authors:  Xia Y.;  Huang H.;  Kou K.I.
Favorite | TC[WOS]:4 TC[Scopus]:5 | Submit date：2019/02/13
Impulsive Differential Equation  Linearization  Unbounded  
Weak solutions and energy estimates for a degenerate nonlocal problem involving sub-linear nonlinearities Journal article
Chu J., Heidarkhani S., Kou K.I., Salari A.. Weak solutions and energy estimates for a degenerate nonlocal problem involving sub-linear nonlinearities[J]. Journal of the Korean Mathematical Society, 2017, 54(5), 1573-1594.
Authors:  Chu J.;  Heidarkhani S.;  Kou K.I.;  Salari A.
Favorite | TC[WOS]:5 TC[Scopus]:5 | Submit date：2019/02/13
Critical Point Theory  Multiple Solutions  Nonlocal Problem  P-laplacian Operator  Singularity  
Quaternion Wigner–Ville distribution associated with the linear canonical transforms Journal article
Fan X.-L., Kou K.I., Liu M.-S.. Quaternion Wigner–Ville distribution associated with the linear canonical transforms[J]. Signal Processing, 2017, 130, 129-141.
Authors:  Fan X.-L.;  Kou K.I.;  Liu M.-S.
Favorite | TC[WOS]:28 TC[Scopus]:33 | Submit date：2019/02/13
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
Kou K.I., Liu M.-S., Tao S.-Z.. Herglotz's theorem and quaternion series of positive term[J]. Mathematical Methods in the Applied Sciences, 2016, 39(18), 5607-5618.
Authors:  Kou K.I.;  Liu M.-S.;  Tao S.-Z.
Favorite | TC[WOS]:5 TC[Scopus]:7 | Submit date：2019/02/13
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  
Constructing prolate spheroidal quaternion wave functions on the sphere Journal article
Morais J., Kou K.I.. Constructing prolate spheroidal quaternion wave functions on the sphere[J]. Mathematical Methods in the Applied Sciences, 2016, 39(14), 3961-3978.
Authors:  Morais J.;  Kou K.I.
Favorite | TC[WOS]:4 TC[Scopus]:6 | Submit date：2019/02/13
30c65  Prolate Spheroidal Wave Functions  Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Functions  Spherical Harmonics  Subclass 30g35  The Energy Concentration Problem