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Author ID: qian.tao Recent zbMATH articles by "Qian, Tao"
Published as: Qian, Tao; Qian, T.
Homepage: http://www.fst.umac.mo/en/staff/fsttq.html
External Links: GND
Documents Indexed: 226 Publications since 1984, including 1 Book
4 Contributions as Editor
Reviewing Activity: 3 Reviews
Co-Authors: 115 Co-Authors with 196 Joint Publications
3,987 Co-Co-Authors
all top 5

Co-Authors

32 single-authored
24 Dang, Pei
19 Chen, Qiuhui
16 Deng, Guantie
15 Yang, Yan
14 Mai, Weixiong
10 Zhang, Liming
9 Kou, Kit-Ian
9 Tan, Lihui
9 Wang, Jinxun
8 Sommen, Franciscus
7 Mi, Wen
6 Li, Haichou
6 Li, Pengtao
6 Sabadini, Irene
6 Wang, Yanbo
5 Gaudry, Garth Ian
5 Li, Luoqing
5 Li, Youfa
5 McIntosh, Alan
5 Qu, Wei
5 Yang, Qixiang
4 Chen, Xingdi
4 Colombo, Fabrizio
4 Fei, Minggang
4 Ku, Min
4 Li, Shuang
4 Zhong, Tongde
3 Alpay, Daniel Aron
3 Baratchart, Laurent
3 Dong, Baohua
3 Du, Zhihua
3 Gao, You
3 Long, Rulin
3 Mo, Yan
3 Mourão, José
3 Nunes, João Pedro Vidal
3 Peng, Lizhong
2 Cowling, Michael G.
2 Du, Jinyuan
2 Fu, Wenyuan
2 Gong, Yafang
2 Huang, Yun
2 Ji, Xinhua
2 Kwan, Chiman
2 Li, Chun
2 Li, Xingmin
2 Li, Yanting
2 Ren, Guangbin
2 Rodino, Luigi
2 Schulze, Bert-Wolfgang
2 Wang, Jianzhong
2 Wang, Xiaoyin
2 Wang, Yi
2 Xu, Roger
2 Xu, Yuesheng
2 Zhang, Yanhui
1 Axelsson, Andreas
1 Pinheiro de Castro, Luís Filipe
1 Chang, Der-Chen E.
1 Chen, Hongda
1 Chen, Jiecheng
1 Chen, Luping
1 Chen, Min
1 Chevillard, Sylvain
1 Chui, Charles Kam-tai
1 De Martino, Antonino
1 Delanghe, Richard
1 Fujiwara, Hiroshi
1 Guo, Yuanyuan
1 Hempfling, Thomas
1 Ho, Io-Tong
1 Hong, Wei
1 Huang, Yong
1 Jin, Ming
1 Kähler, Uwe
1 Kirwin, William D.
1 Lee, Weijen
1 Leong, Ieng Tak
1 Leong, Iengtak
1 Li, Dengfeng
1 Li, Yuan
1 Li, Zhixiong
1 Liu, Dangzheng
1 Liu, Hua
1 Liu, Shuang
1 Lv, Jianhao
1 Lyu, Xiaojing
1 Peetre, Jaak
1 Peña Peña, Dixan
1 Rao, Hangmei
1 Ren, Zhubing
1 Saitoh, Saburou
1 Sheeley, Joseph
1 Sjogren, Peter
1 Sprößig, Wolfgang
1 Stessin, Michael I.
1 Tan, Chunyu
1 Wan, Feng
1 Wang, Rui
1 Wang, Silei
...and 15 more Co-Authors
all top 5

Serials

21 Mathematical Methods in the Applied Sciences
16 Complex Variables and Elliptic Equations
12 Journal of Mathematical Analysis and Applications
12 Advances in Applied Clifford Algebras
11 International Journal of Wavelets, Multiresolution and Information Processing
11 Complex Analysis and Operator Theory
6 Acta Mathematica Scientia. Series B. (English Edition)
5 Applied Mathematics and Computation
5 Journal of Functional Analysis
5 The Journal of Fourier Analysis and Applications
5 Science China. Mathematics
4 Applicable Analysis
4 Chinese Annals of Mathematics. Series B
3 Journal of Mathematical Physics
3 Arkiv för Matematik
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Automatica
3 Journal of Differential Equations
3 Science in China. Series A
3 IEEE Transactions on Signal Processing
2 Computers & Mathematics with Applications
2 Studia Mathematica
2 Journal of Geometry and Physics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Complex Variables. Theory and Application
2 Physica D
2 Journal of the Australian Mathematical Society. Series A
2 Scientia Sinica. Series A
2 Applied and Computational Harmonic Analysis
2 Advances in Computational Mathematics
2 Taiwanese Journal of Mathematics
2 Scientia Sinica. Mathematica
2 Trends in Mathematics
1 Journal of the Franklin Institute
1 Acta Mathematica Sinica
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 IEEE Transactions on Automatic Control
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Journal of Operator Theory
1 Systems & Control Letters
1 Advances in Mathematics
1 Approximation Theory and its Applications
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 Kexue Tongbao
1 Acta Mathematica Sinica. New Series
1 Applied Mathematics. Series B (English Edition)
1 Methods and Applications of Analysis
1 Abstract and Applied Analysis
1 Acta Mathematica Sinica. English Series
1 IEEE Transactions on Image Processing
1 Nonlinear Analysis. Real World Applications
1 Journal of the Australian Mathematical Society
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Communications on Pure and Applied Analysis
1 Chinese Journal of Contemporary Mathematics
1 Computational Methods and Function Theory
1 Analysis and Applications (Singapore)
1 Boundary Value Problems
1 Frontiers of Mathematics in China
1 Journal of Pseudo-Differential Operators and Applications
1 Springer Proceedings in Mathematics & Statistics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration

Publications by Year

Citations contained in zbMATH Open

167 Publications have been cited 1,524 times in 532 Documents Cited by Year
Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces. Zbl 0817.42008
Li, Chun; McIntosh, Alan; Qian, Tao
66
1994
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
58
2011
Analytic unit quadrature signals with nonlinear phase. Zbl 1070.94504
Qian, Tao; Chen, Qiuhui; Li, Luoqing
49
2005
Characterization of boundary values of functions in Hardy spaces with applications in signal analysis. Zbl 1086.30035
Qian, Tao
47
2005
Mono-components for decomposition of signals. Zbl 1104.94005
Qian, Tao
38
2006
Generalization of Fueter’s result to \(\mathbb{R}^{n+1}\). Zbl 0909.30036
Qian, Tao
37
1997
Intrinsic mono-component decomposition of functions: an advance of Fourier theory. Zbl 1188.42001
Qian, Tao
34
2010
Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space. Zbl 0921.42012
Qian, Tao
32
1998
Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system. Zbl 1244.93038
Mi, Wen; Qian, Tao
29
2012
Generalizations of Fueter’s theorem. Zbl 1079.30066
Kou, K. I.; Qian, T.; Sommen, F.
28
2002
Fourier spectrum characterization of Hardy spaces and applications. Zbl 1169.42003
Qian, Tao; Xu, Yuesheng; Yan, Dunyan; Yan, Lixin; Yu, Bo
27
2009
Hardy-Sobolev spaces decomposition in signal analysis. Zbl 1211.30061
Dang, Pei; Qian, Tao; You, Zhong
26
2011
A fast adaptive model reduction method based on Takenaka-Malmquist systems. Zbl 1256.93029
Mi, Wen; Qian, Tao; Wan, Feng
25
2012
Algorithm of adaptive Fourier decomposition. Zbl 1393.94142
Qian, Tao; Zhang, Liming; Li, Zhixiong
24
2011
Boundary derivatives of the phases of inner and outer functions and applications. Zbl 1173.31001
Qian, Tao
24
2009
Fourier analysis on starlike Lipschitz surfaces. Zbl 0991.42009
Qian, Tao
23
2001
Analytic signals and harmonic measures. Zbl 1082.94006
Qian, Tao
22
2006
Analytic phase derivatives, all-pass filters and signals of minimum phase. Zbl 1392.94170
Dang, Pei; Qian, Tao
22
2011
Optimal approximation by Blaschke forms. Zbl 1259.41021
Qian, Tao; Wegert, Elias
21
2013
The Paley-Wiener theorem in \(\mathbb{R}^n\) with the Clifford analysis setting. Zbl 1015.42013
Kou, Kit-Ian; Qian, Tao
20
2002
A tighter uncertainty principle for linear canonical transform in terms of phase derivative. Zbl 1393.94205
Dang, Pei; Deng, Guan-Tie; Qian, Tao
20
2013
Two families of unit analytic signals with nonlinear phase. Zbl 1104.94004
Chen, Qiuhui; Li, Luoqing; Qian, Tao
20
2006
Stability of frames generated by nonlinear Fourier atoms. Zbl 1086.42018
Chen, Qiuhui; Li, Luoqing; Qian, Tao
19
2005
Orthonormal bases with nonlinear phases. Zbl 1213.42126
Qian, Tao; Wang, Rui; Xu, Yuesheng; Zhang, Haizhang
19
2010
A sharper uncertainty principle. Zbl 1284.42019
Dang, Pei; Deng, Guan-Tie; Qian, Tao
18
2013
Deriving harmonic functions in higher dimensional spaces. Zbl 1052.30055
Qian, T.; Sommen, F.
17
2003
Adaptive Fourier decomposition of functions in quaternionic Hardy spaces. Zbl 1254.30086
Qian, Tao; Sprößig, Wolfgang; Wang, Jinxun
16
2012
An alternative proof of Fueter’s theorem. Zbl 1117.30039
Peña Peña, Dixan; Qian, Tao; Sommen, Frank
16
2006
Convolution singular integral operators on Lipschitz curves. Zbl 0791.42012
McIntosh, Alan; Qian, Tao
16
1991
Conformal transformations and Hardy spaces arising in Clifford analysis. Zbl 0856.30037
Qian, Tao; Ryan, John
15
1996
Adaptive decomposition by weighted inner functions: a generalization of Fourier series. Zbl 1223.42006
Qian, Tao; Tan, Li-Hui; Wang, Yan-Bo
15
2011
Two integral operators in Clifford analysis. Zbl 1182.30082
Gong, Yafang; Leong, Ieng Tak; Qian, Tao
15
2009
Structure of solutions of polynomial Dirac equations in Clifford analysis. Zbl 1054.30049
Gong, Y. F.; Qian, T.; Du, D. Y.
14
2004
A martingale proof of \(L_ 2\) boundedness of Clifford-valued singular integrals. Zbl 0814.42009
Gaudry, G. I.; Long, R.; Qian, T.
14
1993
Cyclic AFD algorithm for the best rational approximation. Zbl 1287.42018
Qian, Tao
14
2014
The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. Zbl 1350.47017
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene
14
2016
Two-dimensional adaptive Fourier decomposition. Zbl 1347.42047
Qian, Tao
13
2016
Hilbert transforms on the sphere with the Clifford algebra setting. Zbl 1182.30092
Qian, Tao; Yang, Yan
13
2009
Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves. Zbl 0924.42012
Qian, Tao
12
1997
Möbius covariance of iterated Dirac operators. Zbl 1043.31500
Peetre, Jaak; Qian, Tao
12
1994
Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013
Yang, Yan; Dang, Pei; Qian, Tao
12
2016
Rational orthogonal systems are Schauder bases. Zbl 1306.46023
Qian, Tao; Chen, Qiuhui; Tan, Lihui
12
2014
Comparison of adaptive mono-component decompositions. Zbl 1270.94041
Qian, Tao; Li, Hong; Stessin, Michael
12
2013
Singular integrals associated to the Laplacian on the affine group \(ax+b\). Zbl 0776.43003
Gaudry, G. I.; Qian, T.; Sjögren, P.
12
1992
Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene
11
2017
Schwarz lemma in Euclidean spaces. Zbl 1105.30039
Yang, Yan; Qian, Tao
11
2006
Hardy-Sobolev derivatives of phase and amplitude, and their applications. Zbl 1256.42012
Dang, Pei; Qian, Tao; Yang, Yan
11
2012
Cauchy integrals on Lipschitz surfaces in octonionic space. Zbl 1151.30038
Li, Xing Min; Peng, Li Zhong; Qian, Tao
11
2008
Mono-components vs IMFs in signal decomposition. Zbl 1145.94374
Qian, Tao; Zhang, Liming; Li, Hong
11
2008
\(L^p\) polyharmonic Dirichlet problems in regular domains. II: The upper half plane. Zbl 1256.31002
Du, Zhihua; Qian, Tao; Wang, Jinxun
10
2012
Rational approximation of functions in Hardy spaces. Zbl 1353.30032
Deng, Guantie; Qian, Tao
10
2016
Extending coherent state transforms to Clifford analysis. Zbl 1349.81088
Kirwin, William D.; Mourão, José; Nunes, João P.; Qian, Tao
10
2016
Phase derivative of monogenic signals in higher dimensional spaces. Zbl 1275.30027
Yang, Yan; Qian, Tao; Sommen, Frank
10
2012
On backward shift algorithm for estimating poles of systems. Zbl 1296.93068
Mi, Wen; Qian, Tao
10
2014
Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene
10
2017
Adaptive decomposition of functions into pieces of non-negative instantaneous frequencies. Zbl 1200.94026
Qian, Tao; Ho, I. T.; Leong, I. T.; Wang, Yanbo
9
2010
The Paley-Wiener theorem in the non-commutative and non-associative octonions. Zbl 1176.42019
Li, XingMin; Peng, LiZhong; Qian, Tao
9
2009
Remarks on adaptive Fourier decomposition. Zbl 1267.42006
Qian, Tao; Wang, Yanbo
9
2013
Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms. Zbl 1171.94331
Chen, Qiuhui; Qian, Tao
8
2009
Estimation of hyperbolically partial derivatives of \(\rho\)-harmonic quasiconformal mappings and its applications. Zbl 1317.30025
Chen, Xingdi; Qian, Tao
8
2015
Hilbert transforms and the Cauchy integral in Euclidean space. Zbl 1168.45001
Axelsson, Andreas; Kou, Kit Ian; Qian, Tao
8
2009
Coherent state transforms and the Weyl equation in Clifford analysis. Zbl 1355.81076
Mourão, José; Nunes, João P.; Qian, Tao
8
2017
Fourier spectrum characterizations of \(H^{p}\) spaces on tubes over cones for \(1\leq p \leq \infty \). Zbl 06909439
Li, Hai-Chou; Deng, Guan-Tie; Qian, Tao
7
2018
Fourier multipliers on Lipschitz curves. Zbl 0766.42005
McIntosh, Alan; Qian, Tao
7
1992
Boundedness of singular integral operators with holomorphic kernels on star-shaped closed Lipschitz curves. Zbl 0860.42013
Gaudry, Garth; Qian, Tao; Wang, Silei
7
1996
Singular integrals and Fourier theory on Lipschitz boundaries. Zbl 1435.47001
Qian, Tao; Li, Pengtao
7
2019
Backward shift invariant subspaces with applications to band preserving and phase retrieval problems. Zbl 1381.47006
Qian, Tao; Tan, Lihui
7
2016
An enhancement algorithm for cyclic adaptive Fourier decomposition. Zbl 1426.41012
Qian, Tao; Wang, Jianzhong; Mai, Weixiong
7
2019
2D partial unwinding – a novel non-linear phase decomposition of images. Zbl 07123013
Li, Yanting; Zhang, Liming; Qian, Tao
7
2019
Matching pursuits among shifted Cauchy kernels in higher-dimensional spaces. Zbl 1313.30164
Qian, Tao; Wang, Jinxun; Yang, Yan
7
2014
Fueter mapping theorem in hypercomplex analysis. Zbl 1330.30005
Qian, Tao
7
2015
Aveiro method in reproducing kernel Hilbert spaces under complete dictionary. Zbl 1382.30005
Mai, Weixiong; Qian, Tao
7
2017
Transient time-frequency distribution based on mono-component decompositions. Zbl 1316.94025
Dang, Pei; Qian, Tao; Guo, Yuan Yuan
7
2013
Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem. Zbl 1337.65172
Mo, Yan; Qian, Tao
6
2014
Uncertainty principle and phase-amplitude analysis of signals on the unit sphere. Zbl 1386.94025
Dang, Pei; Qian, Tao; Chen, Qiuhui
6
2017
Hardy-Hodge decomposition of vector fields in \(\mathbb {R}^n\). Zbl 1385.42018
Baratchart, Laurent; Dang, Pei; Qian, Tao
6
2018
On the inversion of Fueter’s theorem. Zbl 1348.30027
Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene
6
2016
The inverse Fueter mapping theorem for axially monogenic functions of degree \(k\). Zbl 1414.30050
Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene
5
2019
Two-dimensional frequency-domain system identification. Zbl 07256186
Wang, Xiaoyin; Qian, Tao; Leong, Iengtak; Gao, You
5
2020
Spaces of harmonic functions with boundary values in \(Q^{\alpha}_{p,q}\). Zbl 1307.42022
Yang, Qixiang; Qian, Tao; Li, Pengtao
5
2014
Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis. Zbl 1299.42011
Qian, Tao; Zhang, Liming
5
2013
Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces. Zbl 1366.94092
Dang, Pei; Qian, Tao; Yang, Yan
5
2016
Schwarz problems for poly-Hardy space on the unit ball. Zbl 1384.30009
Kähler, Uwe; Ku, Min; Qian, Tao
5
2017
Integral representations of a class of harmonic functions in the half space. Zbl 1329.35106
Zhang, Yan Hui; Deng, Guan Tie; Qian, Tao
5
2016
Stronger uncertainty principles for hypercomplex signals. Zbl 1342.42006
Yang, Yan; Dang, Pei; Qian, Tao
5
2015
Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space. Zbl 1302.30068
Wang, Jinxun; Qian, Tao
5
2014
Sparse representation in Szegő kernels through reproducing kernel Hilbert space theory with applications. Zbl 1320.93036
Mo, Y.; Qian, T.; Mi, W.
5
2015
Extracting outer function part from Hardy space function. Zbl 1395.30055
Tan, LiHui; Qian, Tao
4
2017
The differential integral equations on smooth closed orientable manifolds. Zbl 0995.32004
Qian, Tao; Zhong, Tongde
4
2001
On sets of zeroes of Clifford algebra-valued polynomials. Zbl 1240.30215
Yang, Yan; Qian, Tao
4
2010
A novel Fourier theory on nonlinear phases and applications. Zbl 1424.32016
Qian, Tao
4
2018
Hardy space decomposition of \(L^p\) on the unit circle: \(0 < p \leq 1\). Zbl 1342.30050
Li, Hai-Chou; Deng, Guan-Tie; Qian, Tao
4
2016
Boundary value problems for periodic analytic functions. Zbl 1338.30027
Dang, Pei; Du, Jinyuan; Qian, Tao
4
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
4
2020
\(L^{p}\) polyharmonic Dirichlet problems in regular domains. III: The unit ball. Zbl 1295.31020
Du, Zhihua; Qian, Tao; Wang, Jinxun
4
2014
Greedy algorithms and rational approximation in one and several variables. Zbl 1388.30063
Baratchart, Laurent; Mai, Wei-Xiong; Qian, Tao
4
2016
The AFD methods to compute Hilbert transform. Zbl 1325.42002
Mo, Yan; Qian, Tao; Mai, Weixiong; Chen, Qiuhui
4
2015
Space-frequency analysis in higher dimensions and applications. Zbl 1329.46038
Yang, Yan; Dang, Pei; Qian, Tao
4
2015
Characterization of analytic phase signals. Zbl 1138.94007
Qian, Tao; Chen, Qiuhui
4
2006
Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator. Zbl 1319.42010
Chen, Xingdi; Qian, Tao
4
2014
The Fourier type expansions on tubes. Zbl 1484.32008
Mai, Weixiong; Qian, Tao
1
2022
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels. Zbl 1486.30133
Colombo, Fabrizio; De Martino, Antonino; Qian, Tao; Sabadini, Irene
1
2022
Two-dimensional frequency-domain system identification. Zbl 07256186
Wang, Xiaoyin; Qian, Tao; Leong, Iengtak; Gao, You
5
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
4
2020
Reproducing kernel sparse representations in relation to operator equations. Zbl 1436.42006
Qian, Tao
3
2020
A theory on non-constant frequency decompositions and applications. Zbl 1494.94015
Chen, Qiuhui; Qian, Tao; Tan, Lihui
3
2020
AFD-based ILC designs in frequency domain for linear discrete-time systems. Zbl 1483.93161
Fu, Wen-Yuan; Li, Xiao-Dong; Qian, Tao
1
2020
Singular integrals and Fourier theory on Lipschitz boundaries. Zbl 1435.47001
Qian, Tao; Li, Pengtao
7
2019
An enhancement algorithm for cyclic adaptive Fourier decomposition. Zbl 1426.41012
Qian, Tao; Wang, Jianzhong; Mai, Weixiong
7
2019
2D partial unwinding – a novel non-linear phase decomposition of images. Zbl 07123013
Li, Yanting; Zhang, Liming; Qian, Tao
7
2019
The inverse Fueter mapping theorem for axially monogenic functions of degree \(k\). Zbl 1414.30050
Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene
5
2019
A novel 2D partial unwinding adaptive Fourier decomposition method with application to frequency domain system identification. Zbl 1418.42008
Li, Yanting; Qian, Tao
2
2019
Paley-Wiener-type theorem for analytic functions in tubular domains. Zbl 1427.32005
Deng, Guan-Tie; Huang, Yun; Qian, Tao
1
2019
Fourier spectrum characterizations of \(H^{p}\) spaces on tubes over cones for \(1\leq p \leq \infty \). Zbl 06909439
Li, Hai-Chou; Deng, Guan-Tie; Qian, Tao
7
2018
Hardy-Hodge decomposition of vector fields in \(\mathbb {R}^n\). Zbl 1385.42018
Baratchart, Laurent; Dang, Pei; Qian, Tao
6
2018
A novel Fourier theory on nonlinear phases and applications. Zbl 1424.32016
Qian, Tao
4
2018
Characterizations of mono-components: the Blaschke and starlike types. Zbl 1491.30007
Qian, Tao; Tan, Lihui
3
2018
Clifford coherent state transforms on spheres. Zbl 1431.81035
Dang, Pei; Mourão, José; Nunes, João P.; Qian, Tao
2
2018
Rational approximation in Hardy spaces on strips. Zbl 1407.30017
Mai, Weixiong; Qian, Tao
2
2018
Wavelets and holomorphic functions. Zbl 1397.30041
Qian, Tao; Yang, Qixiang
1
2018
Hilbert transformation and representation of the \(ax+b\) group. Zbl 1388.30047
Dang, Pei; Liu, Hua; Qian, Tao
1
2018
Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene
11
2017
Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene
10
2017
Coherent state transforms and the Weyl equation in Clifford analysis. Zbl 1355.81076
Mourão, José; Nunes, João P.; Qian, Tao
8
2017
Aveiro method in reproducing kernel Hilbert spaces under complete dictionary. Zbl 1382.30005
Mai, Weixiong; Qian, Tao
7
2017
Uncertainty principle and phase-amplitude analysis of signals on the unit sphere. Zbl 1386.94025
Dang, Pei; Qian, Tao; Chen, Qiuhui
6
2017
Schwarz problems for poly-Hardy space on the unit ball. Zbl 1384.30009
Kähler, Uwe; Ku, Min; Qian, Tao
5
2017
Extracting outer function part from Hardy space function. Zbl 1395.30055
Tan, LiHui; Qian, Tao
4
2017
Adaptive Fourier decomposition-based Dirac type time-frequency distribution. Zbl 1369.94331
Zhang, Liming; Qian, Tao; Mai, Weixiong; Dang, Pei
3
2017
FFT formulations of adaptive Fourier decomposition. Zbl 1369.65184
Gao, You; Ku, Min; Qian, Tao; Wang, Jianzhong
3
2017
A frame theory of Hardy spaces with the quaternionic and the Clifford algebra settings. Zbl 1376.42009
Chen, Qiuhui; Dang, Pei; Qian, Tao
1
2017
Rational approximation of functions in Hardy spaces. Zbl 1382.30069
Deng, Guantie; Li, Haichou; Qian, Tao
1
2017
The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. Zbl 1350.47017
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene
14
2016
Two-dimensional adaptive Fourier decomposition. Zbl 1347.42047
Qian, Tao
13
2016
Tighter uncertainty principles based on quaternion Fourier transform. Zbl 1338.42013
Yang, Yan; Dang, Pei; Qian, Tao
12
2016
Rational approximation of functions in Hardy spaces. Zbl 1353.30032
Deng, Guantie; Qian, Tao
10
2016
Extending coherent state transforms to Clifford analysis. Zbl 1349.81088
Kirwin, William D.; Mourão, José; Nunes, João P.; Qian, Tao
10
2016
Backward shift invariant subspaces with applications to band preserving and phase retrieval problems. Zbl 1381.47006
Qian, Tao; Tan, Lihui
7
2016
On the inversion of Fueter’s theorem. Zbl 1348.30027
Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene
6
2016
Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces. Zbl 1366.94092
Dang, Pei; Qian, Tao; Yang, Yan
5
2016
Integral representations of a class of harmonic functions in the half space. Zbl 1329.35106
Zhang, Yan Hui; Deng, Guan Tie; Qian, Tao
5
2016
Hardy space decomposition of \(L^p\) on the unit circle: \(0 < p \leq 1\). Zbl 1342.30050
Li, Hai-Chou; Deng, Guan-Tie; Qian, Tao
4
2016
Greedy algorithms and rational approximation in one and several variables. Zbl 1388.30063
Baratchart, Laurent; Mai, Wei-Xiong; Qian, Tao
4
2016
Basis pursuit for frequency-domain identification. Zbl 1382.93034
Mi, Wen; Qian, Tao; Li, Shuang
3
2016
Consecutive minimum phase expansion of physically realizable signals with applications. Zbl 1332.30085
Mai, Weixiong; Dang, Pei; Zhang, Liming; Qian, Tao
3
2016
Fefferman-Stein decomposition for \(Q\)-spaces and micro-local quantities. Zbl 1350.42043
Yang, Qixiang; Qian, Tao; Li, Pengtao
3
2016
Minimax principle and lower bounds in \(H^2\)-rational approximation. Zbl 1361.30057
Baratchart, Laurent; Chevillard, Sylvain; Qian, Tao
3
2016
Estimation of hyperbolically partial derivatives of \(\rho\)-harmonic quasiconformal mappings and its applications. Zbl 1317.30025
Chen, Xingdi; Qian, Tao
8
2015
Fueter mapping theorem in hypercomplex analysis. Zbl 1330.30005
Qian, Tao
7
2015
Stronger uncertainty principles for hypercomplex signals. Zbl 1342.42006
Yang, Yan; Dang, Pei; Qian, Tao
5
2015
Sparse representation in Szegő kernels through reproducing kernel Hilbert space theory with applications. Zbl 1320.93036
Mo, Y.; Qian, T.; Mi, W.
5
2015
Boundary value problems for periodic analytic functions. Zbl 1338.30027
Dang, Pei; Du, Jinyuan; Qian, Tao
4
2015
The AFD methods to compute Hilbert transform. Zbl 1325.42002
Mo, Yan; Qian, Tao; Mai, Weixiong; Chen, Qiuhui
4
2015
Space-frequency analysis in higher dimensions and applications. Zbl 1329.46038
Yang, Yan; Dang, Pei; Qian, Tao
4
2015
New aspects of Beurling-Lax shift invariant subspaces. Zbl 1338.94021
Tan, Lihui; Qian, Tao; Chen, Qiuhui
3
2015
Corner boundary value problems. Zbl 1327.35476
Chang, Der-Chen; Qian, Tao; Schulze, Bert-Wolfgang
3
2015
A constructive proof of Beurling-Lax theorem. Zbl 1309.30045
Chen, Qiuhui; Qian, Tao
2
2015
Order filtrations of the edge algebra. Zbl 1328.58025
Lyu, Xiaojing; Qian, Tao; Schulze, B.-W.
2
2015
Cyclic AFD algorithm for the best rational approximation. Zbl 1287.42018
Qian, Tao
14
2014
Rational orthogonal systems are Schauder bases. Zbl 1306.46023
Qian, Tao; Chen, Qiuhui; Tan, Lihui
12
2014
On backward shift algorithm for estimating poles of systems. Zbl 1296.93068
Mi, Wen; Qian, Tao
10
2014
Matching pursuits among shifted Cauchy kernels in higher-dimensional spaces. Zbl 1313.30164
Qian, Tao; Wang, Jinxun; Yang, Yan
7
2014
Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem. Zbl 1337.65172
Mo, Yan; Qian, Tao
6
2014
Spaces of harmonic functions with boundary values in \(Q^{\alpha}_{p,q}\). Zbl 1307.42022
Yang, Qixiang; Qian, Tao; Li, Pengtao
5
2014
Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space. Zbl 1302.30068
Wang, Jinxun; Qian, Tao
5
2014
\(L^{p}\) polyharmonic Dirichlet problems in regular domains. III: The unit ball. Zbl 1295.31020
Du, Zhihua; Qian, Tao; Wang, Jinxun
4
2014
Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator. Zbl 1319.42010
Chen, Xingdi; Qian, Tao
4
2014
How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126
Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S.
3
2014
Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions. Zbl 1290.94024
Li, Youfa; Chen, Qiuhui; Qian, Tao; Wang, Yi
3
2014
Adaptive Fourier decompositions and rational approximations. I: Theory. Zbl 1304.65283
Qian, Tao
3
2014
Holomorphic approximation of \(L_2\)-functions on the unit sphere in \(\mathbb R^3\). Zbl 1312.30063
De Schepper, Nele; Qian, Tao; Sommen, Frank; Wang, Jinxun
1
2014
Adaptive Fourier decomposition and rational approximation. II: Software system design and development. Zbl 1303.65113
Zhang, Liming; Hong, Wei; Mai, Weixiong; Qian, Tao
1
2014
Optimal approximation by Blaschke forms. Zbl 1259.41021
Qian, Tao; Wegert, Elias
21
2013
A tighter uncertainty principle for linear canonical transform in terms of phase derivative. Zbl 1393.94205
Dang, Pei; Deng, Guan-Tie; Qian, Tao
20
2013
A sharper uncertainty principle. Zbl 1284.42019
Dang, Pei; Deng, Guan-Tie; Qian, Tao
18
2013
Comparison of adaptive mono-component decompositions. Zbl 1270.94041
Qian, Tao; Li, Hong; Stessin, Michael
12
2013
Remarks on adaptive Fourier decomposition. Zbl 1267.42006
Qian, Tao; Wang, Yanbo
9
2013
Transient time-frequency distribution based on mono-component decompositions. Zbl 1316.94025
Dang, Pei; Qian, Tao; Guo, Yuan Yuan
7
2013
Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis. Zbl 1299.42011
Qian, Tao; Zhang, Liming
5
2013
\(L^p\) polyharmonic Dirichlet problems in regular domains. IV: The upper-half space. Zbl 1288.31004
Du, Zhihua; Qian, Tao; Wang, Jinxun
3
2013
Shannon-type sampling for multivariate non-bandlimited signals. Zbl 1283.94030
Chen, Qiuhui; Qian, Tao; Li, Youfa
3
2013
Sufficient conditions for shift-invariant systems to be frames in \(L^2({\mathbb R^n})\). Zbl 1272.42020
Li, Deng Feng; Qian, Tao
2
2013
Sparse reconstruction of Hardy signal and applications to time-frequency distribution. Zbl 1275.41017
Qian, Tao; Li, Shuang; Mai, Weixiong
2
2013
Analytic sampling approximation by projection operator with application in decomposition of instantaneous frequency. Zbl 1279.41020
Li, Youfa; Qian, Tao
2
2013
Micro-local structure and two kinds of wavelet characterizations about the generalized Hardy spaces. Zbl 1284.42048
Yang, Qixiang; Qian, Tao
2
2013
Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system. Zbl 1244.93038
Mi, Wen; Qian, Tao
29
2012
A fast adaptive model reduction method based on Takenaka-Malmquist systems. Zbl 1256.93029
Mi, Wen; Qian, Tao; Wan, Feng
25
2012
Adaptive Fourier decomposition of functions in quaternionic Hardy spaces. Zbl 1254.30086
Qian, Tao; Sprößig, Wolfgang; Wang, Jinxun
16
2012
Hardy-Sobolev derivatives of phase and amplitude, and their applications. Zbl 1256.42012
Dang, Pei; Qian, Tao; Yang, Yan
11
2012
\(L^p\) polyharmonic Dirichlet problems in regular domains. II: The upper half plane. Zbl 1256.31002
Du, Zhihua; Qian, Tao; Wang, Jinxun
10
2012
Phase derivative of monogenic signals in higher dimensional spaces. Zbl 1275.30027
Yang, Yan; Qian, Tao; Sommen, Frank
10
2012
Higher order boundary integral formula and integro-differential equation on Stein mainfolds. Zbl 1275.32005
Chen, Lüping; Zhong, Tongde; Qian, Tao
2
2012
Some remarks on the boundary behaviors of functions in the monogenic Hardy spaces. Zbl 1257.30057
Qian, Tao; Wang, Jinxun
1
2012
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
58
2011
Hardy-Sobolev spaces decomposition in signal analysis. Zbl 1211.30061
Dang, Pei; Qian, Tao; You, Zhong
26
2011
Algorithm of adaptive Fourier decomposition. Zbl 1393.94142
Qian, Tao; Zhang, Liming; Li, Zhixiong
24
2011
Analytic phase derivatives, all-pass filters and signals of minimum phase. Zbl 1392.94170
Dang, Pei; Qian, Tao
22
2011
Adaptive decomposition by weighted inner functions: a generalization of Fourier series. Zbl 1223.42006
Qian, Tao; Tan, Li-Hui; Wang, Yan-Bo
15
2011
Zeroes of slice monogenic functions. Zbl 1220.30071
Yang, Yan; Qian, Tao
2
2011
A class of Fourier multipliers on starlike Lipschitz surfaces. Zbl 1232.42014
Li, Pengtao; Leong, Ieng Tak; Qian, Tao
1
2011
...and 67 more Documents
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Cited by 498 Authors

131 Qian, Tao
30 Sabadini, Irene
29 Colombo, Fabrizio
29 Dang, Pei
26 Chen, Qiuhui
23 Sommen, Franciscus
17 Deng, Guantie
15 Kähler, Uwe
15 Mai, Weixiong
15 Tan, Lihui
14 Li, Pingrun
14 Yang, Yan
13 Ku, Min
12 Li, Youfa
11 Cerejeiras, Paula
11 Kou, Kit-Ian
11 Kraußhar, Rolf Sören
11 Wang, Jinxun
10 Peña Peña, Dixan
10 Yang, Lihua
9 Li, Xingmin
9 Zhang, Liming
8 Alpay, Daniel Aron
8 Li, Luoqing
8 Ren, Guangbin
7 Gantner, Jonathan
7 Mi, Wen
7 Zhang, Haizhang
6 De Bie, Hendrik
6 Diki, Kamal
6 Fei, Minggang
6 Li, Pengtao
6 Vallarino, Maria
5 Axelsson, Andreas
5 Baratchart, Laurent
5 Bernstein, Swanhild
5 Brackx, Fred F.
5 Constales, Denis
5 Du, Zhihua
5 Fu, Yingxiong
5 Li, Haichou
5 Liao, Jianquan
5 Liu, Mingsheng
5 McIntosh, Alan
5 Peng, Lizhong
5 Perotti, Alessandro
5 Pinton, Stefano
5 Qu, Wei
5 Wang, Yanbo
4 Bahri, Mawardi
4 De Martino, Antonino
4 De Schepper, Hennie
4 Gu, Longfei
4 Huang, Chao
4 Kimsey, David Patrick
4 Li, Shanshan
4 Qiao, Yuying
4 Schulze, Bert-Wolfgang
4 Sjogren, Peter
4 Wang, Daoshun
4 Wang, Yi
4 Wang, Yufeng
4 Zhang, Zhichao
3 Abdulhadi, Zayid
3 Ashino, Ryuichi
3 Auscher, Pascal
3 Bory Reyes, Juan
3 Chen, Luping
3 Coifman, Ronald Raphaël
3 Ding, Chao
3 Dong, Baohua
3 Gerhards, Christian
3 Ghanmi, Allal
3 González-Cervantes, José Óscar
3 Guo, Guoan
3 Han, Deguang
3 Jefferies, Brian R. F.
3 Li, Chun
3 Li, Shuang
3 Lin, Rongrong
3 Morais, João Pedro
3 Mourão, José
3 Nunes, João Pedro Vidal
3 Saitoh, Saburou
3 Walter, Raymond
3 Wang, Ying
3 Wen, Zhihong
3 Wu, Hau-Tieng
3 Yan, Dunyan
3 Yang, Qixiang
3 Yang, Shouzhi
3 Yuan, Hongfen
3 Zhang, Zhongxiang
2 Abreu-Blaya, Ricardo
2 Agarwal, Ravi P.
2 Ahmad, Owais
2 Ali, Rosihan Mohamed
2 Banouh, Hicham
2 Begehr, Heinrich
2 Ben Mabrouk, Anouar
...and 398 more Authors
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Cited in 128 Serials

48 Advances in Applied Clifford Algebras
38 Complex Variables and Elliptic Equations
34 International Journal of Wavelets, Multiresolution and Information Processing
33 Mathematical Methods in the Applied Sciences
29 Journal of Mathematical Analysis and Applications
28 Complex Analysis and Operator Theory
15 The Journal of Fourier Analysis and Applications
13 Applied Mathematics and Computation
12 Science China. Mathematics
10 Journal of Mathematical Physics
9 Journal of Functional Analysis
7 The Journal of Geometric Analysis
7 Acta Mathematica Sinica. English Series
6 Journal of Computational and Applied Mathematics
6 Results in Mathematics
6 Transactions of the American Mathematical Society
6 Zeitschrift für Analysis und ihre Anwendungen
6 Applied and Computational Harmonic Analysis
5 Journal of Geometry and Physics
5 Numerical Functional Analysis and Optimization
5 Abstract and Applied Analysis
5 Journal of Inequalities and Applications
4 Applicable Analysis
4 Arkiv för Matematik
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Proceedings of the American Mathematical Society
4 Journal of Integral Equations and Applications
4 Science in China. Series A
4 SIAM Journal on Mathematical Analysis
4 Filomat
4 Computational Methods and Function Theory
4 Analysis and Mathematical Physics
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Advances in Mathematics
3 Automatica
3 Mathematische Nachrichten
3 Applied Mathematics Letters
3 Advances in Computational Mathematics
3 Integral Transforms and Special Functions
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Boundary Value Problems
3 Journal of Pseudo-Differential Operators and Applications
3 Journal of Function Spaces
2 Rocky Mountain Journal of Mathematics
2 Journal of Approximation Theory
2 Journal of Differential Equations
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Systems & Control Letters
2 Chinese Annals of Mathematics. Series B
2 Multidimensional Systems and Signal Processing
2 Acta Mathematica Sinica. New Series
2 Journal of Mathematical Imaging and Vision
2 Applied Mathematics. Series B (English Edition)
2 Calculus of Variations and Partial Differential Equations
2 Journal of the Australian Mathematical Society
2 Analysis and Applications (Singapore)
2 Mediterranean Journal of Mathematics
2 Frontiers of Mathematics in China
2 Journal of Physics A: Mathematical and Theoretical
2 Banach Journal of Mathematical Analysis
2 Journal of Applied Analysis and Computation
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Acta Mechanica
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Mathematical Notes
1 Problems of Information Transmission
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of Number Theory
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Physica D
1 Revista Matemática Iberoamericana
1 International Journal of Approximate Reasoning
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Signal Processing
1 Communications in Partial Differential Equations
1 Pattern Recognition
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Indagationes Mathematicae. New Series
1 Applicationes Mathematicae
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Taiwanese Journal of Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
...and 28 more Serials
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Cited in 45 Fields

257 Functions of a complex variable (30-XX)
163 Harmonic analysis on Euclidean spaces (42-XX)
85 Information and communication theory, circuits (94-XX)
52 Operator theory (47-XX)
49 Numerical analysis (65-XX)
46 Functional analysis (46-XX)
44 Partial differential equations (35-XX)
37 Several complex variables and analytic spaces (32-XX)
35 Approximations and expansions (41-XX)
33 Integral transforms, operational calculus (44-XX)
29 Integral equations (45-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
27 Potential theory (31-XX)
21 Global analysis, analysis on manifolds (58-XX)
17 Abstract harmonic analysis (43-XX)
15 Quantum theory (81-XX)
14 Special functions (33-XX)
13 Systems theory; control (93-XX)
11 Statistics (62-XX)
10 Number theory (11-XX)
10 Topological groups, Lie groups (22-XX)
9 Differential geometry (53-XX)
9 Probability theory and stochastic processes (60-XX)
6 Computer science (68-XX)
5 Nonassociative rings and algebras (17-XX)
5 Real functions (26-XX)
5 Ordinary differential equations (34-XX)
4 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
4 Biology and other natural sciences (92-XX)
3 Field theory and polynomials (12-XX)
3 Operations research, mathematical programming (90-XX)
2 Difference and functional equations (39-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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