## Xian, Jun

Compute Distance To:
 Author ID: xian.jun Published as: Xian, Jun; Xian, J. External Links: MGP
 Documents Indexed: 40 Publications since 2003 Reviewing Activity: 1 Review Co-Authors: 20 Co-Authors with 36 Joint Publications 572 Co-Co-Authors
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### Co-Authors

 4 single-authored 6 Li, Songhua 6 Li, Yongjin 5 Li, Song 5 Lin, Wei 4 Wei, Ting 3 Führ, Hartmut 3 Sun, Qiyu 2 Li, Yaxu 2 Luo, Shiping 2 Qiang, Xiaofeng 2 Xiang, Shuhuang 1 Li, Degao 1 Liu, Jianping 1 Lu, Yancheng 1 Nashed, M. Zuhair 1 Sun, Mingbao 1 Sun, Wenchang 1 Wen, Jinming 1 Yan, Xiongbin 1 Zhao, Zhihong
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### Serials

 3 Applied Mathematics and Computation 3 Applied and Computational Harmonic Analysis 2 Applicable Analysis 2 Acta Scientiarum Naturalium Universitatis Sunyatseni 2 Far East Journal of Mathematical Sciences 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Sinica 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Journal of Mathematical Research & Exposition 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Signal Processing 1 International Journal of Computer Mathematics 1 Applied Mathematics. Series A (Chinese Edition) 1 Applied Mathematics. Series B (English Edition) 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Scientia Sinica. Mathematica
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### Fields

 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Information and communication theory, circuits (94-XX) 11 Functional analysis (46-XX) 10 Numerical analysis (65-XX) 9 Approximations and expansions (41-XX) 6 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 168 times in 100 Documents Cited by Year
Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications. Zbl 1135.42013
Xian, Jun; Li, Song
2007
Weighted sampling and signal reconstruction in spline subspaces. Zbl 1163.94407
Xian, Jun; Luo, Shi-Ping; Lin, Wei
2006
Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering. Zbl 1320.94026
Sun, Qiyu; Xian, Jun
2014
Relevant sampling in finitely generated shift-invariant spaces. Zbl 1435.94106
Führ, Hartmut; Xian, Jun
2019
Local sampling and reconstruction in shift-invariant spaces and their applications in spline subspaces. Zbl 1194.42040
Xian, Jun; Sun, Wenchang
2010
Convolution sampling and reconstruction of signals in a reproducing kernel subspace. Zbl 1275.42050
Nashed, M. Zuhair; Sun, Qiyu; Xian, Jun
2013
Weighted sampling and reconstruction in weighted reproducing kernel spaces. Zbl 1200.42025
Xian, Jun
2010
Biorthogonal multiple wavelets generated by vector refinement equation. Zbl 1131.42023
Li, Song; Xian, Jun
2007
Quantifying invariance properties of shift-invariant spaces. Zbl 1350.94024
Führ, Hartmut; Xian, Jun
2014
Reconstruction from convolution random sampling in local shift invariant spaces. Zbl 1479.94090
Li, Yaxu; Wen, Jinming; Xian, Jun
2019
Sampling and reconstruction in time-warped spaces and their applications. Zbl 1060.94508
Xian, Jun; Lin, Wei
2004
General A-P iterative algorithm in shift-invariant spaces. Zbl 1173.42323
Xian, Jun; Li, Song
2009
Determination of the initial data in a time-fractional diffusion-wave problem by a final time data. Zbl 1443.35179
Xian, J.; Wei, Ting
2019
Non-uniform sampling and reconstruction in weighted multiply generated shift-invariant spaces. Zbl 1043.41011
Xian, Jun; Qiang, Xiao-Feng
2003
Local sampling set conditions in weighted shift-invariant signal spaces. Zbl 1259.94038
Xian, Jun
2012
Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space. Zbl 1293.42036
Xian, Jun
2014
Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data. Zbl 07212660
Xian, Jun; Yan, Xiong-bin; Wei, Ting
2020
Error estimates from noise samples for iterative algorithm in shift-invariant signal spaces. Zbl 1201.94063
Xian, Jun
2010
Variational method for a backward problem for a time-fractional diffusion equation. Zbl 1471.65128
Wei, Ting; Xian, Jun
2019
Non-uniform random sampling and reconstruction in signal spaces with finite rate of innovation. Zbl 1462.94023
Lu, Yancheng; Xian, Jun
2020
Maximal discrepancy for multiply generated shift-invariant spaces. Zbl 1353.42030
Führ, Hartmut; Xian, Jun
2016
A multiscale Galerkin method for the hypersingular integral equation reduced by the harmonic equation. Zbl 1289.42108
Li, Songhua; Xian, Jun
2013
Improved sampling and reconstruction in spline subspaces. Zbl 1381.94050
Xian, Jun; Li, Song
2016
A fast hybrid Galerkin method for high-frequency acoustic scattering. Zbl 1377.65160
Li, Song-Hua; Xiang, Shuhuang; Xian, Jun
2017
Sampling and reconstruction for shift-invariant stochastic processes. Zbl 1306.60029
Xian, Jun; Li, Song-Hua
2014
$$K$$-very convex and $$K$$-very smooth space. Zbl 1056.46019
Xian, Jun; Li, Yongjin
2004
Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data. Zbl 07212660
Xian, Jun; Yan, Xiong-bin; Wei, Ting
2020
Non-uniform random sampling and reconstruction in signal spaces with finite rate of innovation. Zbl 1462.94023
Lu, Yancheng; Xian, Jun
2020
Relevant sampling in finitely generated shift-invariant spaces. Zbl 1435.94106
Führ, Hartmut; Xian, Jun
2019
Reconstruction from convolution random sampling in local shift invariant spaces. Zbl 1479.94090
Li, Yaxu; Wen, Jinming; Xian, Jun
2019
Determination of the initial data in a time-fractional diffusion-wave problem by a final time data. Zbl 1443.35179
Xian, J.; Wei, Ting
2019
Variational method for a backward problem for a time-fractional diffusion equation. Zbl 1471.65128
Wei, Ting; Xian, Jun
2019
A fast hybrid Galerkin method for high-frequency acoustic scattering. Zbl 1377.65160
Li, Song-Hua; Xiang, Shuhuang; Xian, Jun
2017
Maximal discrepancy for multiply generated shift-invariant spaces. Zbl 1353.42030
Führ, Hartmut; Xian, Jun
2016
Improved sampling and reconstruction in spline subspaces. Zbl 1381.94050
Xian, Jun; Li, Song
2016
Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering. Zbl 1320.94026
Sun, Qiyu; Xian, Jun
2014
Quantifying invariance properties of shift-invariant spaces. Zbl 1350.94024
Führ, Hartmut; Xian, Jun
2014
Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space. Zbl 1293.42036
Xian, Jun
2014
Sampling and reconstruction for shift-invariant stochastic processes. Zbl 1306.60029
Xian, Jun; Li, Song-Hua
2014
Convolution sampling and reconstruction of signals in a reproducing kernel subspace. Zbl 1275.42050
Nashed, M. Zuhair; Sun, Qiyu; Xian, Jun
2013
A multiscale Galerkin method for the hypersingular integral equation reduced by the harmonic equation. Zbl 1289.42108
Li, Songhua; Xian, Jun
2013
Local sampling set conditions in weighted shift-invariant signal spaces. Zbl 1259.94038
Xian, Jun
2012
Local sampling and reconstruction in shift-invariant spaces and their applications in spline subspaces. Zbl 1194.42040
Xian, Jun; Sun, Wenchang
2010
Weighted sampling and reconstruction in weighted reproducing kernel spaces. Zbl 1200.42025
Xian, Jun
2010
Error estimates from noise samples for iterative algorithm in shift-invariant signal spaces. Zbl 1201.94063
Xian, Jun
2010
General A-P iterative algorithm in shift-invariant spaces. Zbl 1173.42323
Xian, Jun; Li, Song
2009
Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications. Zbl 1135.42013
Xian, Jun; Li, Song
2007
Biorthogonal multiple wavelets generated by vector refinement equation. Zbl 1131.42023
Li, Song; Xian, Jun
2007
Weighted sampling and signal reconstruction in spline subspaces. Zbl 1163.94407
Xian, Jun; Luo, Shi-Ping; Lin, Wei
2006
Sampling and reconstruction in time-warped spaces and their applications. Zbl 1060.94508
Xian, Jun; Lin, Wei
2004
$$K$$-very convex and $$K$$-very smooth space. Zbl 1056.46019
Xian, Jun; Li, Yongjin
2004
Non-uniform sampling and reconstruction in weighted multiply generated shift-invariant spaces. Zbl 1043.41011
Xian, Jun; Qiang, Xiao-Feng
2003
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### Cited by 114 Authors

 18 Xian, Jun 12 Sun, Qiyu 11 Jiang, Yingchun 6 Sun, Wenchang 6 Yang, Jianbin 5 Li, Song 5 Shin, Chang Eon 5 Zhang, Qingyue 4 Pérez-Villalón, Gerardo 4 Romero, José Luis 4 Sampath, Sivananthan 3 Fang, Qiquan 3 Feichtinger, Hans Georg 3 Führ, Hartmut 3 Kumar, Anuj 3 Radha, Ramakrishnan 2 Avron, Haim 2 Cheng, Cheng 2 Dai, Xinrong 2 García, Antonio G. 2 Levie, Ron 2 Li, Wan 2 Li, Yaxu 2 Liu, Bei 2 Liu, Zhisong 2 Molter, Ursula Maria 2 Patel, Dhiraj 2 Pilipović, Stevan 2 Portal, Alberto 2 Sarvesh, K. 2 Simić, Suzana 2 Sivananthan, Sivalingam 2 Wang, Jinping 2 Wang, Suping 2 Wen, Jinming 2 Zhou, Xingwei 1 Acosta Reyes, Ernesto 1 Adcock, Ben 1 Aldroubi, Akram 1 Aliev, Rashid Avazaga 1 Bu, Jing 1 Butzer, Paul Leo 1 Chai, Bencheng 1 Chen, Guangxi 1 Chen, Xuelin 1 Deng, Zhiliang 1 Dodson, Michael Maurice 1 Fan, Bin 1 Ferreira, Paulo Jorge S. G. 1 Gadjieva, Chinara A. 1 Gataric, Milana 1 Geng, Chuanxing 1 Gröchenig, Karlheinz 1 Guo, Yao 1 Higgins, John Rowland 1 Hou, Mimi 1 Ji, Qinghua 1 Jiang, Suzhen 1 Jin, Bangti 1 John, Anila 1 Krishtal, Ilya Arkadievich 1 Kulkarni, Sudhir Hanmantrao 1 Lafontaine, David 1 Lal, Roshan 1 Li, Bingzhao 1 Li, Haifeng 1 Li, Jiao 1 Li, Na 1 Li, Song 1 Li, Songhua 1 Li, Youfa 1 Li, Zunxian 1 Liu, Chunyan 1 Lu, Yancheng 1 Luo, Shiping 1 Motee, Nader 1 Muñoz-Bouzo, María José 1 Nashed, M. Zuhair 1 Ngoc, Tran Bao 1 Nguyen Huy Tuan 1 Nguyen, Ha Q. 1 Onchiş, Darian M. 1 O’Regan, Donal 1 Pan, Yali 1 Ponnaian, Devaraj 1 Saini, Renu 1 Schmeisser, Gerhard 1 Selvan, A. Antony 1 Shang, Zuofeng 1 Shanmugam, Yugesh 1 Shen, Zuowei 1 Spence, Euan A. 1 Stahl, Dominik 1 Stens, Rudolf L. 1 Stöckler, Joachim 1 Tang, Wai-Shing 1 Tao, Xinzhu 1 Unser, Michael A. 1 van Velthoven, Jordy Timo 1 Voigtlaender, Felix ...and 14 more Authors
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### Cited in 44 Serials

 8 Journal of Mathematical Analysis and Applications 8 Applied and Computational Harmonic Analysis 7 Applicable Analysis 7 Numerical Functional Analysis and Optimization 5 Inverse Problems 5 Journal of Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 The Journal of Fourier Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Journal of Approximation Theory 3 Acta Mathematica Sinica. English Series 3 International Journal of Wavelets, Multiresolution and Information Processing 2 Mathematics of Computation 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Applied Mathematics Letters 2 Applied Mathematics. Series B (English Edition) 2 Abstract and Applied Analysis 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 The Journal of Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Applied Mathematics E-Notes 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis and Applications (Singapore) 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Stochastics 1 Inverse Problems in Science and Engineering 1 Banach Journal of Mathematical Analysis 1 Journal of Pseudo-Differential Operators and Applications 1 Annals of Functional Analysis 1 Bulletin of Mathematical Sciences
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### Cited in 23 Fields

 60 Information and communication theory, circuits (94-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 28 Functional analysis (46-XX) 22 Approximations and expansions (41-XX) 21 Numerical analysis (65-XX) 15 Operator theory (47-XX) 9 Partial differential equations (35-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 Integral equations (45-XX) 3 Difference and functional equations (39-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)