# zbMATH — the first resource for mathematics

## Zhang, Haizhang

Compute Distance To:
 Author ID: zhang.haizhang Published as: Zhang, Haizhang; Zhang, H. Homepage: https://sites.google.com/site/haizhangzhangspersonalwebsite/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 44 Publications since 2006, including 1 Book Reviewing Activity: 1 Review
all top 5

#### Co-Authors

 2 single-authored 8 Xu, Yuesheng 6 Zhang, Jun 4 Challamel, Noël 4 Lin, Rongrong 4 Wang, Chien-Ming 3 Micchelli, Charles A. 3 Song, Guohui 3 Tu, Xinming 2 Chen, Tian 2 Chen, Wenjian 2 Gunzler, Douglas 2 He, Hua 2 Lu, Naiji 2 Wang, Rui 2 Wu, Pan 2 Zhang, Qinghui 1 Ayatollahi, Ahmad 1 Bossarte, R. 1 Chen, Liang 1 Chen, Liangzhi 1 Feng, Changyong 1 Hickernell, Fred J. 1 Hu, Wei 1 Jafarnia-Dabanloo, N. 1 Johari-Majd, V. 1 Qian, Tao 1 Ramakrishnan, T. S. 1 Ruocco, Eugenio 1 Sheng, Baohuai 1 Venouziou, Moises 1 Wang, Benxun 1 Wasan, Darsh T. 1 Xia, Yinglin 1 Yang, Lihua 1 Yu, Qin
all top 5

#### Serials

 5 Journal of Machine Learning Research (JMLR) 4 Journal of Mathematical Analysis and Applications 4 Journal of Complexity 4 Journal of Applied Statistics 3 Applied Mathematical Modelling 2 Journal of Integral Equations and Applications 2 Neural Computation 2 Applied and Computational Harmonic Analysis 2 Advances in Computational Mathematics 2 Analysis and Applications (Singapore) 1 Acta Mechanica 1 Applicable Analysis 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Numerical Functional Analysis and Optimization 1 Mathematica Numerica Sinica 1 Forum Mathematicum 1 Journal of Global Optimization 1 Iranian Journal of Fuzzy Systems 1 Journal of Theoretical Biology
all top 5

#### Fields

 14 Computer science (68-XX) 11 Functional analysis (46-XX) 8 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Approximations and expansions (41-XX) 5 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 4 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 278 times in 167 Documents Cited by Year
Universal kernels. Zbl 1222.68266
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
2006
Reproducing kernel Banach spaces for machine learning. Zbl 1235.68217
Zhang, Haizhang; Xu, Yuesheng; Zhang, Jun
2009
The Bedrosian identity and homogeneous semi-convolution equations. Zbl 1160.44004
Yu, Bo; Zhang, Haizhang
2008
Frames, Riesz bases, and sampling expansions in Banach spaces via semi-inner products. Zbl 1221.42067
Zhang, Haizhang; Zhang, Jun
2011
Orthonormal bases with nonlinear phases. Zbl 1213.42126
Qian, Tao; Wang, Rui; Xu, Yuesheng; Zhang, Haizhang
2010
Regularized learning in Banach spaces as an optimization problem: representer theorems. Zbl 1281.90088
Zhang, Haizhang; Zhang, Jun
2012
Reproducing kernel Banach spaces with the $$\ell^1$$ norm. Zbl 1269.46020
Song, Guohui; Zhang, Haizhang; Hickernell, Fred J.
2013
The Bedrosian identity for $$\mathbf H^p$$ functions. Zbl 1257.42027
Yang, Lihua; Zhang, Haizhang
2008
Reproducing kernel Banach spaces with the $$\ell^{1}$$ norm. II: Error analysis for regularized least square regression. Zbl 1231.68219
Song, Guohui; Zhang, Haizhang
2011
Refinable kernels. Zbl 1222.68337
Xu, Yuesheng; Zhang, Haizhang
2007
Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
2009
Characterizing the Hilbert transform by the Bedrosian theorem. Zbl 1172.94004
Venouziou, Moises; Zhang, Haizhang
2008
Refinement of reproducing kernels. Zbl 1235.68211
Xu, Yuesheng; Zhang, Haizhang
2009
Vector-valued reproducing kernel Banach spaces with applications to multi-task learning. Zbl 1323.46030
Zhang, Haizhang; Zhang, Jun
2013
Generalized semi-inner products with applications to regularized learning. Zbl 1202.46026
Zhang, Haizhang; Zhang, Jun
2010
Orthogonality from disjoint support in reproducing kernel Hilbert spaces. Zbl 1159.46014
Zhang, Haizhang
2009
Refinement of operator-valued reproducing kernels. Zbl 1283.68310
Zhang, Haizhang; Xu, Yuesheng; Zhang, Qinghui
2012
Convergence analysis of the Gaussian regularized Shannon sampling series. Zbl 1386.94054
Lin, Rongrong; Zhang, Haizhang
2017
Multidimensional analytic signals and the Bedrosian identity. Zbl 1302.65272
Zhang, Haizhang
2014
Comparison of nano-plate bending behaviour by eringen nonlocal plate, Hencky bar-net and continualised nonlocal plate models. Zbl 1428.74035
Zhang, Y. P.; Challamel, N.; Wang, C. M.; Zhang, H.
2019
Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series. Zbl 1428.62042
Chen, Liang; Zhang, Haizhang
2019
Universalities of reproducing kernels revisited. Zbl 1350.41024
Chen, Wenjian; Wang, Benxun; Zhang, Haizhang
2016
The circular Bedrosian identity for translation-invariant operators: existence and characterization. Zbl 1339.44003
Hu, Wei; Lin, Rongrong; Zhang, Haizhang
2015
Existence of the Bedrosian identity for Fourier multiplier operators. Zbl 1344.42008
Lin, Rongrong; Zhang, Haizhang
2016
On translation invariant operators which preserve the B-spline recurrence. Zbl 1283.41010
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
2008
Sparse discretization matrices for Volterra integral operators with applications to numerical differentiation. Zbl 1246.65255
Zhang, Haizhang; Zhang, Qinghui
2011
Performance analysis of the LapRSSLG algorithm in learning theory. Zbl 1432.68399
Sheng, Baohuai; Zhang, Haizhang
2020
Exponential approximation of multivariate bandlimited stochastic signals from average oversampling. Zbl 1399.94032
Chen, Wenjian; Zhang, Haizhang
2017
Performance analysis of the LapRSSLG algorithm in learning theory. Zbl 1432.68399
Sheng, Baohuai; Zhang, Haizhang
2020
Comparison of nano-plate bending behaviour by eringen nonlocal plate, Hencky bar-net and continualised nonlocal plate models. Zbl 1428.74035
Zhang, Y. P.; Challamel, N.; Wang, C. M.; Zhang, H.
2019
Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series. Zbl 1428.62042
Chen, Liang; Zhang, Haizhang
2019
Convergence analysis of the Gaussian regularized Shannon sampling series. Zbl 1386.94054
Lin, Rongrong; Zhang, Haizhang
2017
Exponential approximation of multivariate bandlimited stochastic signals from average oversampling. Zbl 1399.94032
Chen, Wenjian; Zhang, Haizhang
2017
Universalities of reproducing kernels revisited. Zbl 1350.41024
Chen, Wenjian; Wang, Benxun; Zhang, Haizhang
2016
Existence of the Bedrosian identity for Fourier multiplier operators. Zbl 1344.42008
Lin, Rongrong; Zhang, Haizhang
2016
The circular Bedrosian identity for translation-invariant operators: existence and characterization. Zbl 1339.44003
Hu, Wei; Lin, Rongrong; Zhang, Haizhang
2015
Multidimensional analytic signals and the Bedrosian identity. Zbl 1302.65272
Zhang, Haizhang
2014
Reproducing kernel Banach spaces with the $$\ell^1$$ norm. Zbl 1269.46020
Song, Guohui; Zhang, Haizhang; Hickernell, Fred J.
2013
Vector-valued reproducing kernel Banach spaces with applications to multi-task learning. Zbl 1323.46030
Zhang, Haizhang; Zhang, Jun
2013
Regularized learning in Banach spaces as an optimization problem: representer theorems. Zbl 1281.90088
Zhang, Haizhang; Zhang, Jun
2012
Refinement of operator-valued reproducing kernels. Zbl 1283.68310
Zhang, Haizhang; Xu, Yuesheng; Zhang, Qinghui
2012
Frames, Riesz bases, and sampling expansions in Banach spaces via semi-inner products. Zbl 1221.42067
Zhang, Haizhang; Zhang, Jun
2011
Reproducing kernel Banach spaces with the $$\ell^{1}$$ norm. II: Error analysis for regularized least square regression. Zbl 1231.68219
Song, Guohui; Zhang, Haizhang
2011
Sparse discretization matrices for Volterra integral operators with applications to numerical differentiation. Zbl 1246.65255
Zhang, Haizhang; Zhang, Qinghui
2011
Orthonormal bases with nonlinear phases. Zbl 1213.42126
Qian, Tao; Wang, Rui; Xu, Yuesheng; Zhang, Haizhang
2010
Generalized semi-inner products with applications to regularized learning. Zbl 1202.46026
Zhang, Haizhang; Zhang, Jun
2010
Reproducing kernel Banach spaces for machine learning. Zbl 1235.68217
Zhang, Haizhang; Xu, Yuesheng; Zhang, Jun
2009
Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
2009
Refinement of reproducing kernels. Zbl 1235.68211
Xu, Yuesheng; Zhang, Haizhang
2009
Orthogonality from disjoint support in reproducing kernel Hilbert spaces. Zbl 1159.46014
Zhang, Haizhang
2009
The Bedrosian identity and homogeneous semi-convolution equations. Zbl 1160.44004
Yu, Bo; Zhang, Haizhang
2008
The Bedrosian identity for $$\mathbf H^p$$ functions. Zbl 1257.42027
Yang, Lihua; Zhang, Haizhang
2008
Characterizing the Hilbert transform by the Bedrosian theorem. Zbl 1172.94004
Venouziou, Moises; Zhang, Haizhang
2008
On translation invariant operators which preserve the B-spline recurrence. Zbl 1283.41010
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
2008
Refinable kernels. Zbl 1222.68337
Xu, Yuesheng; Zhang, Haizhang
2007
Universal kernels. Zbl 1222.68266
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
2006
all top 5

#### Cited by 271 Authors

 22 Zhang, Haizhang 15 Qian, Tao 10 Xu, Yuesheng 8 Sheng, Baohuai 8 Tan, Lihui 6 Chen, Qiuhui 6 Lin, Rongrong 6 Yang, Lihua 5 Micchelli, Charles A. 5 Song, Guohui 5 Ye, Qi 4 Jørgensen, Palle E. T. 4 Wang, Rui 3 Boche, Holger 3 Cerejeiras, Paula 3 García, Antonio G. 3 Kähler, Uwe 3 Mönich, Ullrich Johann 3 Wang, Yanbo 3 Ye, Peixin 3 Zhang, Jun 2 Bachoc, François 2 Chen, Liang 2 Chen, Zhenlong 2 Dinh Dũng 2 Giannakis, Dimitrios 2 Han, Deguang 2 Huang, Chao 2 Janfada, Mohammad 2 Kaden, Marika 2 Kosorok, Michael R. 2 Li, Zheng 2 Lin, Shaobo 2 Loubes, Jean-Michel 2 Lv, Shaogao 2 Mohapatra, Ram Narayan 2 Nebel, David 2 Sahu, Nabin Kumar 2 Salzo, Saverio 2 Schlegel, Kevin 2 Scovel, Clint 2 Steinwart, Ingo 2 Suykens, Johan A. K. 2 Tian, Feng 2 Villmann, Thomas 2 Wang, Jianli 2 Wang, Shuhua 2 Xiang, Dao-Hong 2 Xu, Zongben 2 Yang, Shouzhi 2 Zheng, Xianwei 1 Agud, Lucía 1 Albert, Christopher G. 1 Angeloni, Laura 1 Antoine, Jean-Pierre 1 Asgari, Mohammad Sadegh 1 Azhini, Mahdi 1 Aziznejad, Shayan 1 Bach, Francis R. 1 Balazs, Peter 1 Bellet, Aurélien 1 Bischl, Bernd 1 Blanchard, Gilles 1 Bohnsack, Andrea 1 Briol, François-Xavier 1 Broto, Baptiste 1 Buescu, Jorge 1 Calabuig, José Manuel 1 Cao, Feilong 1 Cashmore, Michael 1 Chang, Xiangyu 1 Chechik, Gal 1 Chen, Dirong 1 Chen, Hong 1 Chen, Liangzhi 1 Chen, Wenjian 1 Chen, Yunmei 1 Chen, Zhongying 1 Cheng, Raymond 1 Cockayne, Jon 1 Colbert, Brendon K. 1 Combettes, Patrick L. 1 Costarelli, Danilo 1 Cui, Xiaona 1 Dang, Pei 1 Das, Suddhasattwa 1 Dasgupta, Sayan 1 Dastourian, Bahram 1 Dieuleveut, Aymeric 1 Dilnyi, Volodymyr Mykolayovych 1 Ding, Shengpei 1 Djordjević, Slaviša V. 1 Duan, Shiyu 1 Ebadian, Ali 1 Egidi, Nadaniela 1 Engel, Stephanie M. 1 Fan, Linxi 1 Fan, Zengyan 1 Fang, Jian 1 Farahani, Mohammad Reza ...and 171 more Authors
all top 5

#### Cited in 75 Serials

 10 Analysis and Applications (Singapore) 8 Advances in Computational Mathematics 7 Journal of Mathematical Analysis and Applications 7 Journal of Complexity 7 Neural Computation 7 Journal of Machine Learning Research (JMLR) 6 Mathematical Methods in the Applied Sciences 6 Applied and Computational Harmonic Analysis 6 International Journal of Wavelets, Multiresolution and Information Processing 4 The Annals of Statistics 4 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Numerical Functional Analysis and Optimization 3 Journal of Integral Equations and Applications 3 Abstract and Applied Analysis 3 Complex Variables and Elliptic Equations 3 Complex Analysis and Operator Theory 2 Journal of Mathematical Physics 2 Problems of Information Transmission 2 Acta Applicandae Mathematicae 2 Journal of Global Optimization 2 Computational Statistics and Data Analysis 2 Applied Mathematics. Series B (English Edition) 2 Bernoulli 2 Communications on Pure and Applied Analysis 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 Sahand Communications in Mathematical Analysis 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Acta Mathematica Vietnamica 1 Automatica 1 Dissertationes Mathematicae 1 Fuzzy Sets and Systems 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Chinese Annals of Mathematics. Series B 1 Journal of Scientific Computing 1 Forum Mathematicum 1 Neural Networks 1 Machine Learning 1 Economics Letters 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Foundations of Computing and Decision Sciences 1 Journal of Mathematical Imaging and Vision 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Statistica Sinica 1 The Journal of Artificial Intelligence Research (JAIR) 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Positivity 1 Journal of Inequalities and Applications 1 Chaos 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Sampling Theory in Signal and Image Processing 1 Mediterranean Journal of Mathematics 1 Frontiers of Mathematics in China 1 Banach Journal of Mathematical Analysis 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 SIAM Journal on Mathematics of Data Science
all top 5

#### Cited in 30 Fields

 55 Computer science (68-XX) 53 Functional analysis (46-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 40 Statistics (62-XX) 34 Information and communication theory, circuits (94-XX) 26 Approximations and expansions (41-XX) 23 Operator theory (47-XX) 23 Numerical analysis (65-XX) 13 Integral transforms, operational calculus (44-XX) 10 Functions of a complex variable (30-XX) 10 Probability theory and stochastic processes (60-XX) 6 Operations research, mathematical programming (90-XX) 5 Integral equations (45-XX) 4 Several complex variables and analytic spaces (32-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX)