Edit Profile (opens in new tab) Dang, Pei Co-Author Distance Author ID: dang.pei Published as: Dang, Pei; Dang, P. Documents Indexed: 46 Publications since 2011, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 41 Co-Authors with 46 Joint Publications 1,193 Co-Co-Authors all top 5 Co-Authors 1 single-authored 26 Qian, Tao 9 Mai, Weixiong 5 Du, Jinyuan 5 Yang, Yan 3 Chen, Qiuhui 3 Ku, Min 2 Deng, Guantie 2 Du, Zhihua 2 Guo, Guoan 2 Kou, Kit-Ian 2 Lin, Juan 2 Liu, Hua 2 Liu, Mingsheng 2 Morais, João Pedro 2 Pan, Wenliang 2 Qu, Wei 2 Sun, Xiaoyun 2 Zhang, Liming 1 Bai, Hongfang 1 Baratchart, Laurent 1 Guo, Yuanyuan 1 He, Fuli 1 Jin, Chenkai 1 Kähler, Uwe 1 Li, Chuang 1 Li, Feng 1 Li, Weifeng 1 Li, Youfa 1 Li, Yujue 1 Li, Yumei 1 Liu, Jianwu 1 Liu, Yuanyuan 1 Mourão, José M. 1 Nunes, João Pedro Vidal 1 Rodino, Luigi 1 Shang, Jing 1 Wang, Shujuan 1 Wang, Ying 1 You, Zhong 1 Zhang, Gengrong 1 Zhong, Shouguo all top 5 Serials 9 Mathematical Methods in the Applied Sciences 5 Advances in Applied Clifford Algebras 4 Complex Variables and Elliptic Equations 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 IEEE Transactions on Signal Processing 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Boundary Value Problems 2 Complex Analysis and Operator Theory 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 The Journal of Geometric Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Journal of Fourier Analysis and Applications 1 Journal of Modern Optics 1 Statistics and Its Interface 1 Science China. Mathematics 1 Trends in Mathematics all top 5 Fields 22 Functions of a complex variable (30-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 16 Information and communication theory, circuits (94-XX) 9 Functional analysis (46-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 237 times in 120 Documents Cited by ▼ Year ▼ Hardy-Sobolev spaces decomposition in signal analysis. Zbl 1211.30061 Dang, Pei; Qian, Tao; You, Zhong 27 2011 A tighter uncertainty principle for linear canonical transform in terms of phase derivative. Zbl 1393.94205 Dang, Pei; Deng, Guan-Tie; Qian, Tao 25 2013 A sharper uncertainty principle. Zbl 1284.42019 Dang, Pei; Deng, Guan-Tie; Qian, Tao 25 2013 Analytic phase derivatives, all-pass filters and signals of minimum phase. Zbl 1392.94170 Dang, Pei; Qian, Tao 22 2011 Rational approximation in a class of weighted Hardy spaces. Zbl 1476.30140 Qu, Wei; Dang, Pei 15 2019 Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013 Yang, Yan; Dang, Pei; Qian, Tao 15 2016 Hardy-Sobolev derivatives of phase and amplitude, and their applications. Zbl 1256.42012 Dang, Pei; Qian, Tao; Yang, Yan 12 2012 Reproducing kernel approximation in weighted Bergman spaces: algorithm and applications. Zbl 1440.42009 Qu, Wei; Dang, Pei 10 2019 Stronger uncertainty principles for hypercomplex signals. Zbl 1342.42006 Yang, Yan; Dang, Pei; Qian, Tao 8 2015 Transient time-frequency distribution based on mono-component decompositions. Zbl 1316.94025 Dang, Pei; Qian, Tao; Guo, Yuan Yuan 8 2013 Riemann-Hilbert problems for poly-Hardy space on the unit ball. Zbl 1348.30029 He, Fuli; Ku, Min; Dang, Pei; Kähler, Uwe 8 2016 Uncertainty principle and phase-amplitude analysis of signals on the unit sphere. Zbl 1386.94025 Dang, Pei; Qian, Tao; Chen, Qiuhui 7 2017 Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces. Zbl 1366.94092 Dang, Pei; Qian, Tao; Yang, Yan 7 2016 Hardy-Hodge decomposition of vector fields in \(\mathbb {R}^n\). Zbl 1385.42018 Baratchart, Laurent; Dang, Pei; Qian, Tao 6 2018 Tighter uncertainty principles for periodic signals in terms of frequency. Zbl 1361.94024 Dang, Pei 6 2015 Fourier spectrum of Clifford \(H^p\) spaces on \(\mathbb{R}_+^{n + 1}\) for \(1 \leq p \leq \infty \). Zbl 1432.42013 Dang, Pei; Mai, Weixiong; Qian, Tao 5 2020 Space-frequency analysis in higher dimensions and applications. Zbl 1329.46038 Yang, Yan; Dang, Pei; Qian, Tao 4 2015 Boundary value problems for periodic analytic functions. Zbl 1338.30027 Dang, Pei; Du, Jinyuan; Qian, Tao 4 2015 Consecutive minimum phase expansion of physically realizable signals with applications. Zbl 1332.30085 Mai, Weixiong; Dang, Pei; Zhang, Liming; Qian, Tao 3 2016 A frame theory of Hardy spaces with the quaternionic and the Clifford algebra settings. Zbl 1376.42009 Chen, Qiuhui; Dang, Pei; Qian, Tao 3 2017 Adaptive Fourier decomposition-based Dirac type time-frequency distribution. Zbl 1369.94331 Zhang, Liming; Qian, Tao; Mai, Weixiong; Dang, Pei 3 2017 Numerical stability of circular Hilbert transform and its application to signal decomposition. Zbl 1429.65303 Sun, Xiaoyun; Dang, Pei 3 2019 Clifford coherent state transforms on spheres. Zbl 1431.81035 Dang, Pei; Mourão, José; Nunes, João P.; Qian, Tao 2 2018 Sharper uncertainty principles for the windowed Fourier transform. Zbl 1356.94040 Liu, Ming-Sheng; Kou, Kit Ian; Morais, Joao; Dang, Pei 2 2015 Uncertainty principles for images defined on the square. Zbl 1420.94011 Dang, Pei; Wang, Shujuan 2 2017 Hilbert transformation and representation of the \(ax+b\) group. Zbl 1388.30047 Dang, Pei; Liu, Hua; Qian, Tao 1 2018 Bifurcation analysis in a class of piecewise nonlinear systems with a nonsmooth heteroclinic loops. Zbl 1386.34071 Liu, Yuanyuan; Li, Feng; Dang, Pei 1 2018 Stability of welding problem with perturbations. Zbl 1367.30022 Lin, Juan; Dang, Pei; Du, Jinyuan 1 2017 Stability on a kind of welding problems under perturbations. Zbl 1303.30031 Dang, Pei; Lin, Juan; Du, Jinyuan 1 2014 \(L^p\) polyharmonic Robin problems on Lipschitz domains. Zbl 1452.31015 Li, Weifeng; Dang, Pei; Du, Zhihua; Guo, Guoan; Li, Yumei 1 2020 Fourier spectrum of Clifford \(H^p\) spaces on \(\mathbb{R}_+^{n + 1}\) for \(1 \leq p \leq \infty \). Zbl 1432.42013 Dang, Pei; Mai, Weixiong; Qian, Tao 5 2020 \(L^p\) polyharmonic Robin problems on Lipschitz domains. Zbl 1452.31015 Li, Weifeng; Dang, Pei; Du, Zhihua; Guo, Guoan; Li, Yumei 1 2020 Rational approximation in a class of weighted Hardy spaces. Zbl 1476.30140 Qu, Wei; Dang, Pei 15 2019 Reproducing kernel approximation in weighted Bergman spaces: algorithm and applications. Zbl 1440.42009 Qu, Wei; Dang, Pei 10 2019 Numerical stability of circular Hilbert transform and its application to signal decomposition. Zbl 1429.65303 Sun, Xiaoyun; Dang, Pei 3 2019 Hardy-Hodge decomposition of vector fields in \(\mathbb {R}^n\). Zbl 1385.42018 Baratchart, Laurent; Dang, Pei; Qian, Tao 6 2018 Clifford coherent state transforms on spheres. Zbl 1431.81035 Dang, Pei; Mourão, José; Nunes, João P.; Qian, Tao 2 2018 Hilbert transformation and representation of the \(ax+b\) group. Zbl 1388.30047 Dang, Pei; Liu, Hua; Qian, Tao 1 2018 Bifurcation analysis in a class of piecewise nonlinear systems with a nonsmooth heteroclinic loops. Zbl 1386.34071 Liu, Yuanyuan; Li, Feng; Dang, Pei 1 2018 Uncertainty principle and phase-amplitude analysis of signals on the unit sphere. Zbl 1386.94025 Dang, Pei; Qian, Tao; Chen, Qiuhui 7 2017 A frame theory of Hardy spaces with the quaternionic and the Clifford algebra settings. Zbl 1376.42009 Chen, Qiuhui; Dang, Pei; Qian, Tao 3 2017 Adaptive Fourier decomposition-based Dirac type time-frequency distribution. Zbl 1369.94331 Zhang, Liming; Qian, Tao; Mai, Weixiong; Dang, Pei 3 2017 Uncertainty principles for images defined on the square. Zbl 1420.94011 Dang, Pei; Wang, Shujuan 2 2017 Stability of welding problem with perturbations. Zbl 1367.30022 Lin, Juan; Dang, Pei; Du, Jinyuan 1 2017 Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013 Yang, Yan; Dang, Pei; Qian, Tao 15 2016 Riemann-Hilbert problems for poly-Hardy space on the unit ball. Zbl 1348.30029 He, Fuli; Ku, Min; Dang, Pei; Kähler, Uwe 8 2016 Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces. Zbl 1366.94092 Dang, Pei; Qian, Tao; Yang, Yan 7 2016 Consecutive minimum phase expansion of physically realizable signals with applications. Zbl 1332.30085 Mai, Weixiong; Dang, Pei; Zhang, Liming; Qian, Tao 3 2016 Stronger uncertainty principles for hypercomplex signals. Zbl 1342.42006 Yang, Yan; Dang, Pei; Qian, Tao 8 2015 Tighter uncertainty principles for periodic signals in terms of frequency. Zbl 1361.94024 Dang, Pei 6 2015 Space-frequency analysis in higher dimensions and applications. Zbl 1329.46038 Yang, Yan; Dang, Pei; Qian, Tao 4 2015 Boundary value problems for periodic analytic functions. Zbl 1338.30027 Dang, Pei; Du, Jinyuan; Qian, Tao 4 2015 Sharper uncertainty principles for the windowed Fourier transform. Zbl 1356.94040 Liu, Ming-Sheng; Kou, Kit Ian; Morais, Joao; Dang, Pei 2 2015 Stability on a kind of welding problems under perturbations. Zbl 1303.30031 Dang, Pei; Lin, Juan; Du, Jinyuan 1 2014 A tighter uncertainty principle for linear canonical transform in terms of phase derivative. Zbl 1393.94205 Dang, Pei; Deng, Guan-Tie; Qian, Tao 25 2013 A sharper uncertainty principle. Zbl 1284.42019 Dang, Pei; Deng, Guan-Tie; Qian, Tao 25 2013 Transient time-frequency distribution based on mono-component decompositions. Zbl 1316.94025 Dang, Pei; Qian, Tao; Guo, Yuan Yuan 8 2013 Hardy-Sobolev derivatives of phase and amplitude, and their applications. Zbl 1256.42012 Dang, Pei; Qian, Tao; Yang, Yan 12 2012 Hardy-Sobolev spaces decomposition in signal analysis. Zbl 1211.30061 Dang, Pei; Qian, Tao; You, Zhong 27 2011 Analytic phase derivatives, all-pass filters and signals of minimum phase. Zbl 1392.94170 Dang, Pei; Qian, Tao 22 2011 all cited Publications top 5 cited Publications all top 5 Cited by 144 Authors 45 Qian, Tao 20 Dang, Pei 10 Mai, Weixiong 8 Yang, Yan 7 Ku, Min 7 Tan, Lihui 6 He, Fuli 5 Kou, Kit-Ian 5 Zhang, Liming 5 Zhang, Zhichao 4 Bahri, Mawardi 4 Deng, Guantie 4 Wang, Ying 3 Ashino, Ryuichi 3 Chen, Qiuhui 3 El Haoui, Youssef 3 Gerhards, Christian 3 Li, Bingzhao 3 Li, Haichou 3 Li, Youfa 3 Liu, Mingsheng 3 Qu, Wei 2 Banouh, Hicham 2 Ben Mabrouk, Anouar 2 Gao, Wenbiao 2 Han, Deguang 2 Iglewska-Nowak, Ilona 2 Kähler, Uwe 2 Li, Jingyu 2 Li, Shuang 2 Liu, Hua 2 Morais, João Pedro 2 Qiao, Yuying 2 Shi, Haipan 2 Wang, Yufeng 2 Wu, Hio Tong 2 Xie, Qiwei 2 Zheng, Shenzhou 1 Achak, Azzedine 1 Ahmad, Owais 1 Akel, Mohamed S. 1 Baratchart, Laurent 1 Begehr, Heinrich 1 Benahmadi, Abdelhadi 1 Bhat, Mohammad Younus 1 Bian, Xiaoli 1 Bikchantaev, Ildar Akhmedovich 1 Boche, Holger 1 Cernuschi-Frias, Bruno 1 Chen, Jiecheng 1 Chen, Liping 1 Chen, Xingwu 1 Chui, Charles Kam-tai 1 Dar, Aamir Hamid 1 Diki, Kamal 1 Ding, Chao 1 Du, Jinyuan 1 Duan, Ping 1 Eaknipitsari, Sorawit 1 Fahlaoui, Said 1 Farnham, Stephen D. 1 Fei, Minggang 1 Gao, You 1 Ghanmi, Allal 1 Gu, Longfei 1 Guanlei, Xu 1 Guo, Yuanyuan 1 Han, Huili 1 Han, Yaoyao 1 He, Xiuli 1 Hitzer, Eckhard 1 Hon, Chitin 1 Hong, Wei 1 Huang, Qian 1 Huang, TiRen 1 Kegeles, Alexander 1 Kesri, M’hamed 1 Krivoshein, Aleksandr Vladimirovich 1 Kundu, Manab 1 Lebedeva, Elena A. 1 Lewkeeratiyutkul, Wicharn 1 Li, Chuang 1 Li, Zunfeng 1 Lin, Juan 1 Lin, Rongrong 1 Liu, Junming 1 Liu, Ranran 1 Liu, Wanquan 1 Ma, Yaoshuai 1 Medina, Juan Miguel 1 Mohammed, Alip 1 Mönich, Ullrich Johann 1 Mourão, José M. 1 Musdalifah, Selvy 1 Nguyen Phuoc Tai 1 Nunes, João Pedro Vidal 1 Ou, Jianyu 1 Ozawa, Tohru 1 Pan, Wenliang 1 Prasad, Akhilesh ...and 44 more Authors all top 5 Cited in 49 Serials 15 Mathematical Methods in the Applied Sciences 12 Complex Variables and Elliptic Equations 9 Advances in Applied Clifford Algebras 8 International Journal of Wavelets, Multiresolution and Information Processing 6 Complex Analysis and Operator Theory 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 4 The Journal of Fourier Analysis and Applications 3 Applicable Analysis 3 The Journal of Geometric Analysis 3 Applied and Computational Harmonic Analysis 3 Abstract and Applied Analysis 2 Journal of Computational and Applied Mathematics 2 Results in Mathematics 2 Circuits, Systems, and Signal Processing 2 Multidimensional Systems and Signal Processing 2 Integral Transforms and Special Functions 2 Science China. Mathematics 1 Journal of Mathematical Physics 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Information Sciences 1 Journal of Functional Analysis 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 Applicationes Mathematicae 1 Engineering Analysis with Boundary Elements 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Journal of Modern Optics 1 Differential Equations 1 Analysis and Applications (Singapore) 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Frontiers of Mathematics in China 1 GEM - International Journal on Geomathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics all top 5 Cited in 28 Fields 58 Harmonic analysis on Euclidean spaces (42-XX) 54 Functions of a complex variable (30-XX) 30 Information and communication theory, circuits (94-XX) 16 Functional analysis (46-XX) 12 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 11 Quantum theory (81-XX) 9 Approximations and expansions (41-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Several complex variables and analytic spaces (32-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 5 Operator theory (47-XX) 5 Statistics (62-XX) 4 Integral equations (45-XX) 2 Number theory (11-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year