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Phase-based edge detection algorithms Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Hu X.-X.;  Kou K.I.
Favorite | View/Download:12/0 | TC[WOS]:0 TC[Scopus]:1 | Submit date:2019/02/13
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Generalized sampling expansions associated with quaternion Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Cheng D.;  Kou K.I.
Favorite | View/Download:6/0 | TC[WOS]:3 TC[Scopus]:3 | 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 Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Cai Z.-F.;  Kou K.I.
Favorite | View/Download:11/0 | TC[WOS]:8 TC[Scopus]:8 | Submit date:2019/02/13
initial value problems  Laplace transform  quaternion  quaternion differential equations  
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  
Constructing prolate spheroidal quaternion wave functions on the sphere Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 14,Page: 3961-3978
Authors:  Morais J.;  Kou K.I.
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30c65  Prolate Spheroidal Wave Functions  Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Functions  Spherical Harmonics  Subclass 30g35  The Energy Concentration Problem  
Uncertainty principles associated with quaternionic linear canonical transforms Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 10,Page: 2722-2736
Authors:  Kou K.I.;  Ou J.;  Morais J.
Favorite | View/Download:10/0 | TC[WOS]:16 TC[Scopus]:18 | Submit date:2019/02/13
Gaussian Quaternionic Signal  Hypercomplex Functions  Quantum Mechanics  Quaternion Analysis  Quaternionic Fourier Transform  Quaternionic Linear Canonical Transform  Uncertainly Principle