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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
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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
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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
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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
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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
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Covariance  Quaternion Fourier Transform  Uncertainty Principle  
Hardy–Sobolev derivatives of phase andamplitude, and their applications Journal article
Mathematical Methods in the Applied Sciences, 2012,Volume: 35,Issue: 17,Page: 2017–2030
Authors:  Pei Dang;  Tao Qian;  Yan Yang
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Amplitude-phase Representation Of Signal  Derivatives Of Phase Andamplitude  Sobolev Space  Hardy Space  Hilbert Transform  Instantaneous Frequency