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Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical transforms 基于四元数傅里叶变换和线性正则变换的二维四元数信号采样定理 Journal article
Frontiers of Information Technology and Electronic Engineering, 2022,Volume: 23,Issue: 3,Page: 463-478
Authors:  Hu, Xiaoxiao;  Cheng, Dong;  Kou, Kit Ian
Favorite |  | TC[WOS]:1 TC[Scopus]:0 | Submit date:2022/05/13
Generalized quaternion partial and total Hilbert transforms  O236  Quaternion Fourier transforms  Quaternion linear canonical transforms  Quaternion partial and total Hilbert transforms  Sampling theorem  Truncation errors  
The existence of left eigenvalues for quaternionic matrix Journal article
Journal of Algebra and Its Applications, 2021,Page: 2250207-2250207
Authors:  Yang, Y.;  Kou, K. I.
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/07/27
Left Eigenvalues  Quaternionic Matrix  Study's Determinant  
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.
Favorite |  | TC[WOS]:2 TC[Scopus]:6 | Submit date:2019/02/13
bandlimited extrapolation  Mathieu functions  quaternionic analysis  quaternionic Fourier transform  quaternionic signal  the energy concentration problem  
Prolate spheroidal wave functions associated with the quaternionic Fourier transform Journal article
Mathematical Methods in the Applied Sciences, 2018,Volume: 41,Issue: 11,Page: 4003-4020
Authors:  Zou,Cuiming;  Kou,Kit Ian;  Morais,Joao
Favorite |  | TC[WOS]:2 TC[Scopus]:6 | Submit date:2021/03/11
bandlimited extrapolation  Mathieu functions  quaternionic analysis  quaternionic Fourier transform  quaternionic signal  the energy concentration problem  
Prolate spheroidal wave functions associated with the quaternionic Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4003-4020
Authors:  Zou, Cuiming;  Kou, Kit Ian;  Morais, Joao
Favorite |  | TC[WOS]:2 TC[Scopus]:6 | Submit date:2018/10/30
Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Signal  The Energy Concentration Problem  Mathieu Functions  Bandlimited Extrapolation  
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 |  | TC[WOS]:7 TC[Scopus]:10 | 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  
Integral representation and estimation of harmonic functions in the quaternionic half space Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017,Volume: 40,Issue: 15,Page: 5484-5489
Authors:  Zhang, Yan Hui;  Kou, Kit Ian
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2018/10/30
Integral Representation  Dirichlet Problem  Lower Bound  
A Frame Theory of Hardy Spaces with the Quaternionic and the Clifford Algebra Settings Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 2,Page: 1073-1101
Authors:  Chen, Qiuhui;  Dang, Pei;  Qian, Tao
Favorite |  | TC[WOS]:1 TC[Scopus]:2 | Submit date:2018/10/30
Frame  Quaternion-hardy Space  Fourier Transform  Group Representation  
On the inversion of Fueter's theorem Journal article
Journal of Geometry and Physics, 2016,Volume: 108,Page: 102-116
Authors:  Baohua Dong;  Kit Ian Kou;  Tao Qian;  Irene Sabadini
Favorite |  | TC[WOS]:6 TC[Scopus]:9 | Submit date:2019/02/11
Axially Monogenic Functions  Fourier Multipliers  Fueter Theorem  Slice Hyperholomorphic Functions  
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,Joao;  Kou,Kit Ian
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2021/03/11
30C65  prolate spheroidal wave functions  quaternionic analysis  quaternionic Fourier transform  quaternionic functions  spherical harmonics  subclass 30G35  the energy concentration problem