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Effective numerical evaluation of the double Hilbert transform Journal article
Mathematical Methods in the Applied Sciences, 2020,Volume: 43,Issue: 7,Page: 4086-4106
Authors:  Sun,Xiaoyun;  Dang,Pei;  Leong,Ieng Tak;  Ku,Min
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/11
2D adaptive Fourier decomposition  2D mechanical quadrature method  double Hilbert transform  trigonometric interpolation  
Hilbert transformation and representation of the ax + b group Journal article
Canadian Mathematical Bulletin, 2018,Volume: 61,Issue: 1,Page: 70-84
Authors:  Pei Dang;  Hua Liu;  Tao Qian
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Hilbert Transform  Singular Integral  The Ax + b Group  
Clifford coherent state transforms on spheres Journal article
JOURNAL OF GEOMETRY AND PHYSICS, 2018,Volume: 124,Page: 225-232
Authors:  Dang, Pei;  Mourao, Jose;  Nunes, Joao P.;  Qian, Tao
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2018/10/30
Clifford Analysis  Coherent State Transforms  Cauchy-kowalewski Extension  
Hardy-hodge decomposition of vector fields in ℝn Journal article
Transactions of the American Mathematical Society, 2018,Volume: 370,Issue: 3,Page: 2005-2022
Authors:  Laurent Baratchart;  Pei Dang;  Tao Qian
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Uncertainty Principle and Phase–Amplitude Analysis of Signals on the Unit Sphere Journal article
Advances in Applied Clifford Algebras, 2017,Volume: 27,Issue: 4,Page: 2985-3013
Authors:  Pei Dang;  Tao Qian;  Qiuhui Chen
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Phase Derivative  Spherical Dirac Operator  Spherical Hilbert Transform  Spherical Signals  Uncertainty Principle  
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  
Adaptive Fourier decomposition-based Dirac type time-frequency distribution Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017,Volume: 40,Issue: 8,Page: 2815-2833
Authors:  Zhang, Liming;  Qian, Tao;  Mai, Weixiong;  Dang, Pei
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Instantaneous Frequency  Mono-component  Multi-component  Adaptive Fourier Decomposition  Time-frequency Distribution  The Best N-rational Approximation  
New Trends in Analysis and Interdisciplinary Applications Book
Germany:Birkhäuser Basel, 2017
Authors:  Pei Dang;  Min Ku;  Tao Qian;  Luigi G. Rodino
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2019/06/17
Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces Journal article
Journal of Mathematical Analysis and Applications, 2016,Volume: 437,Issue: 2,Page: 912-940
Authors:  Pei Dang;  Tao Qian;  Yan Yang
Favorite |  | TC[WOS]:3 TC[Scopus]:4 | Submit date:2019/02/11
Amplitude Derivative  Hilbert Transform  Phase Derivative  Signals In Euclidean Spaces  Uncertainty Principle  
Tighter Uncertainty Principles Based on Quaternion Fourier Transform Journal article
Advances in Applied Clifford Algebras, 2016,Volume: 26,Issue: 1,Page: 479-497
Authors:  Yan Yang;  Pei Dang;  Tao Qian
Favorite |  | TC[WOS]:12 TC[Scopus]:14 | Submit date:2019/02/11
Covariance  Quaternion Fourier Transform  Uncertainty Principle