Edit Profile (opens in new tab) Tian, Feng Co-Author Distance Author ID: tian.feng Published as: Tian, Feng; Tian, F. External Links: MGP Documents Indexed: 66 Publications since 2001, including 2 Books and 7 Additional arXiv Preprints Co-Authors: 7 Co-Authors with 37 Joint Publications 160 Co-Co-Authors all top 5 Co-Authors 1 single-authored 35 Jørgensen, Palle E. T. 8 Pedersen, Steen 3 Dai, Guozhong 3 Mao, Linfan 3 Wu, Zhenqiang 2 Gao, Qian 2 Hou, Yaoping 2 Liu, Hai 2 Liu, Yanpei 2 Lu, Laifeng 2 Peng, Changgen 2 Qin, Yanyan 2 Qiu, Qing-feng 2 Sun, Xiao-Ping 2 Wang, Xiaochun 2 Zhang, Shuangyue 1 Bai, Xiaojun 1 Bian, Ting-ting 1 Chang, An 1 Chen, Hefeng 1 Cheng, Jianlian 1 Cowen, Carl C. 1 De Sterck, Hans 1 Dong, Yinfeng 1 Duenyas, Izak 1 Feng, Yanxiang 1 Guo, Wei 1 He, Dongqi 1 Hu, Yanan 1 Kang, Sooran 1 Ko, Eungil 1 Li, Chunsheng 1 Li, Jie 1 Li, Yang 1 Liu, Di 1 Ma, Junfeng 1 Miao, Shidi 1 Mu, Jing 1 Pan, Zhuo-Jin 1 Pearse, Erin Peter James 1 Phillips, Jason D. 1 Qin, Jiwei 1 Qin, Yichen 1 Rostrup, Scott 1 Song, Myung-Sin 1 Thompson, Derek A. 1 Wang, Chuan-Yun 1 Wang, Chuang-yun 1 Wang, Jiaofeng 1 Watson, Cody E. 1 Wen, Guo Chun 1 Wu, Xuesong 1 Xie, Yanming 1 Xing, Keyi 1 Yan, Guangwu 1 Yang, Yang 1 Zhang, Kejia 1 Zheng, Qinghua 1 Zhou, MengChu all top 5 Serials 3 Journal of Mathematical Physics 3 Journal of Software 3 Complex Analysis and Operator Theory 3 Journal of Computer Applications 2 Information Sciences 2 Linear Algebra and its Applications 2 Opuscula Mathematica 2 Markov Processes and Related Fields 2 Journal of Applied Mathematics and Computing 1 Discrete Mathematics 1 Journal of Fluid Mechanics 1 Acta Scientiarum Mathematicarum 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematica Scandinavica 1 Operations Research 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Journal of Xi’an Jiaotong University 1 Circuits, Systems, and Signal Processing 1 Stochastic Analysis and Applications 1 Advances in Mathematics (Beijing) 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 The New York Journal of Mathematics 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Applied Statistics 1 Acta Mathematica Sinica. English Series 1 Progress in Natural Science 1 Journal of Shaanxi Normal University. Natural Science Edition 1 Journal of Machine Learning Research (JMLR) 1 Sampling Theory in Signal and Image Processing 1 Analysis and Applications (Singapore) 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 Axioms 1 International Journal of Applied and Computational Mathematics 1 Advances in Operator Theory all top 5 Fields 28 Operator theory (47-XX) 25 Functional analysis (46-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Combinatorics (05-XX) 14 Numerical analysis (65-XX) 14 Computer science (68-XX) 14 Quantum theory (81-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Probability theory and stochastic processes (60-XX) 9 Potential theory (31-XX) 8 Topological groups, Lie groups (22-XX) 5 Partial differential equations (35-XX) 5 Statistics (62-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 3 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 155 times in 74 Documents Cited by ▼ Year ▼ On the spectral radius of unicyclic graphs with perfect matchings. Zbl 1030.05074 Chang, An; Tian, Feng 34 2003 Unicyclic graphs with exactly two main eigenvalues. Zbl 1172.05336 Hou, Yaoping; Tian, Feng 24 2006 Non-commutative analysis. Zbl 1371.46003 Jorgensen, Palle; Tian, Feng 16 2017 Discrete reproducing kernel Hilbert spaces: sampling and distribution of Dirac-masses. Zbl 1351.46021 Jorgensen, Palle; Tian, Feng 15 2015 Extensions of positive definite functions. Applications and their harmonic analysis. Zbl 1355.43001 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 10 2016 Spectra of some weighted composition operators on \(H^2\). Zbl 1399.47083 Cowen, Carl C.; Ko, Eungil; Thompson, Derek; Tian, Feng 9 2016 Metric duality between positive definite kernels and boundary processes. Zbl 1393.46022 Jorgensen, Palle; Tian, Feng 7 2018 Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. Zbl 1393.47047 Jorgensen, Palle; Tian, Feng 7 2016 Realizations and factorizations of positive definite kernels. Zbl 07120204 Jorgensen, Palle; Tian, Feng 7 2019 Positive definite kernels and boundary spaces. Zbl 1359.42004 Jorgensen, Palle; Tian, Feng 7 2016 Spectral theory of multiple intervals. Zbl 1304.47082 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 7 2015 Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups. Zbl 1359.43004 Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 6 2015 Frames and factorization of graph Laplacians. Zbl 1359.47055 Jorgensen, Palle; Tian, Feng 6 2015 Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. Zbl 1380.46020 Jorgensen, Palle; Tian, Feng 6 2016 Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications. Zbl 1511.47030 Jorgensen, Palle; Pearse, Erin; Tian, Feng 6 2018 Restrictions and extensions of semibounded operators. Zbl 1327.47017 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 6 2014 Momentum operators in two intervals: spectra and phase transition. Zbl 1303.47086 Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 5 2013 Spectral broadening and flow randomization in free shear layers. Zbl 1275.76129 Wu, Xuesong; Tian, Feng 5 2012 Random measures in infinite-dimensional dynamics. Zbl 1417.37020 Jorgensen, Palle E. T.; Tian, Feng 5 2019 Transfer operators, induced probability spaces, and random walk models. Zbl 1500.47123 Jorgensen, P.; Tian, F. 4 2017 Infinite weighted graphs with bounded resistance metric. Zbl 1401.05200 Jorgensen, Palle; Tian, Feng 4 2018 Infinite networks and variation of conductance functions in discrete Laplacians. Zbl 1328.35257 Jorgensen, Palle; Tian, Feng 4 2015 On oriented 2-factorable graphs. Zbl 1067.05034 Mao, Linfan; Tian, Feng 4 2005 Translation representations and scattering by two intervals. Zbl 1275.81087 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 4 2012 Generalized Gramians: creating frame vectors in maximal subspaces. Zbl 1384.42022 Jorgensen, Palle; Tian, Feng 4 2017 Decomposition of Gaussian processes, and factorization of positive definite kernels. Zbl 1443.47085 Jorgensen, Palle; Tian, Feng 3 2019 Momentum operators in the unit square. Zbl 1297.47023 Pedersen, Steen; Tian, Feng 3 2013 Reflection positivity, duality, and spectral theory. Zbl 1525.47130 Jorgensen, Palle; Tian, Feng 3 2019 On reproducing kernels, and analysis of measures. Zbl 07116991 Jorgensen, Palle; Tian, Feng 3 2019 A note on Hoffman-type identities of graphs. Zbl 1063.05092 Hou, Yaoping; Tian, Feng 2 2005 Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations. Zbl 1447.81147 Jorgensen, Palle; Tian, Feng 2 2019 Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus. Zbl 1415.46043 Jorgensen, Palle; Tian, Feng 2 2016 Automorphisms of maps with a given underlying graph and their application to enumeration. Zbl 1082.05029 Mao, Linfan; Liu, Yanpei; Tian, Feng 1 2005 A fast and accurate algorithm for computing radial transonic flows. Zbl 1153.76050 de Sterck, Hans; Rostrup, Scott; Tian, Feng 1 2009 Unbounded operators, Lie algebras, and local representations. Zbl 1334.47071 Jorgensen, Palle E. T.; Tian, Feng 1 2015 A short proof of Fan’s theorem. Zbl 1053.05043 Tian, Feng 1 2004 On the spectra of momentum operators. Zbl 1325.81085 Pedersen, Steen; Phillips, Jason D.; Tian, Feng; Watson, Cody E. 1 2015 Von Neumann indices and classes of positive definite functions. Zbl 1316.43002 Jorgensen, Palle; Tian, Feng 1 2014 Realizations and factorizations of positive definite kernels. Zbl 07120204 Jorgensen, Palle; Tian, Feng 7 2019 Random measures in infinite-dimensional dynamics. Zbl 1417.37020 Jorgensen, Palle E. T.; Tian, Feng 5 2019 Decomposition of Gaussian processes, and factorization of positive definite kernels. Zbl 1443.47085 Jorgensen, Palle; Tian, Feng 3 2019 Reflection positivity, duality, and spectral theory. Zbl 1525.47130 Jorgensen, Palle; Tian, Feng 3 2019 On reproducing kernels, and analysis of measures. Zbl 07116991 Jorgensen, Palle; Tian, Feng 3 2019 Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations. Zbl 1447.81147 Jorgensen, Palle; Tian, Feng 2 2019 Metric duality between positive definite kernels and boundary processes. Zbl 1393.46022 Jorgensen, Palle; Tian, Feng 7 2018 Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications. Zbl 1511.47030 Jorgensen, Palle; Pearse, Erin; Tian, Feng 6 2018 Infinite weighted graphs with bounded resistance metric. Zbl 1401.05200 Jorgensen, Palle; Tian, Feng 4 2018 Non-commutative analysis. Zbl 1371.46003 Jorgensen, Palle; Tian, Feng 16 2017 Transfer operators, induced probability spaces, and random walk models. Zbl 1500.47123 Jorgensen, P.; Tian, F. 4 2017 Generalized Gramians: creating frame vectors in maximal subspaces. Zbl 1384.42022 Jorgensen, Palle; Tian, Feng 4 2017 Extensions of positive definite functions. Applications and their harmonic analysis. Zbl 1355.43001 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 10 2016 Spectra of some weighted composition operators on \(H^2\). Zbl 1399.47083 Cowen, Carl C.; Ko, Eungil; Thompson, Derek; Tian, Feng 9 2016 Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. Zbl 1393.47047 Jorgensen, Palle; Tian, Feng 7 2016 Positive definite kernels and boundary spaces. Zbl 1359.42004 Jorgensen, Palle; Tian, Feng 7 2016 Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. Zbl 1380.46020 Jorgensen, Palle; Tian, Feng 6 2016 Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus. Zbl 1415.46043 Jorgensen, Palle; Tian, Feng 2 2016 Discrete reproducing kernel Hilbert spaces: sampling and distribution of Dirac-masses. Zbl 1351.46021 Jorgensen, Palle; Tian, Feng 15 2015 Spectral theory of multiple intervals. Zbl 1304.47082 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 7 2015 Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups. Zbl 1359.43004 Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 6 2015 Frames and factorization of graph Laplacians. Zbl 1359.47055 Jorgensen, Palle; Tian, Feng 6 2015 Infinite networks and variation of conductance functions in discrete Laplacians. Zbl 1328.35257 Jorgensen, Palle; Tian, Feng 4 2015 Unbounded operators, Lie algebras, and local representations. Zbl 1334.47071 Jorgensen, Palle E. T.; Tian, Feng 1 2015 On the spectra of momentum operators. Zbl 1325.81085 Pedersen, Steen; Phillips, Jason D.; Tian, Feng; Watson, Cody E. 1 2015 Restrictions and extensions of semibounded operators. Zbl 1327.47017 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 6 2014 Von Neumann indices and classes of positive definite functions. Zbl 1316.43002 Jorgensen, Palle; Tian, Feng 1 2014 Momentum operators in two intervals: spectra and phase transition. Zbl 1303.47086 Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 5 2013 Momentum operators in the unit square. Zbl 1297.47023 Pedersen, Steen; Tian, Feng 3 2013 Spectral broadening and flow randomization in free shear layers. Zbl 1275.76129 Wu, Xuesong; Tian, Feng 5 2012 Translation representations and scattering by two intervals. Zbl 1275.81087 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 4 2012 A fast and accurate algorithm for computing radial transonic flows. Zbl 1153.76050 de Sterck, Hans; Rostrup, Scott; Tian, Feng 1 2009 Unicyclic graphs with exactly two main eigenvalues. Zbl 1172.05336 Hou, Yaoping; Tian, Feng 24 2006 On oriented 2-factorable graphs. Zbl 1067.05034 Mao, Linfan; Tian, Feng 4 2005 A note on Hoffman-type identities of graphs. Zbl 1063.05092 Hou, Yaoping; Tian, Feng 2 2005 Automorphisms of maps with a given underlying graph and their application to enumeration. Zbl 1082.05029 Mao, Linfan; Liu, Yanpei; Tian, Feng 1 2005 A short proof of Fan’s theorem. Zbl 1053.05043 Tian, Feng 1 2004 On the spectral radius of unicyclic graphs with perfect matchings. Zbl 1030.05074 Chang, An; Tian, Feng 34 2003 all cited Publications top 5 cited Publications all top 5 Cited by 92 Authors 33 Jørgensen, Palle E. T. 12 Tian, Feng 9 Tian, James F. 5 Bezuglyi, Sergey I. 4 Pedersen, Steen 4 Song, Myung-Sin 3 Alpay, Daniel Aron 3 Moslehian, Mohammad Sal 2 Banouh, Hicham 2 Ben Mabrouk, Anouar 2 Buescu, Jorge 2 Freeden, Willi 2 Ghaemi, Mostafa 2 Nashed, M. Zuhair 2 Neeb, Karl-Hermann 2 Ólafsson, Gestur 2 Paixão, A. C. 2 Pearse, Erin Peter James 2 Toloza, Julio H. 2 Uribe, Alfredo 2 Wu, Haihua 1 Aldroubi, Akram 1 Asadi, Mohammad B. 1 Asadi, Raheleh 1 Bekbaev, Dilmurod 1 Chun, Hyonho 1 Din, Allan M. 1 Dirr, Gunther 1 Doerge, Rebecca W. 1 Dong, Xinhan 1 Du, Hongke 1 Foroutan, Mohammadreza 1 Ganiev, Inomjon 1 Griebel, Michael 1 Gubinelli, Massimiliano 1 Hashemi Sababe, Saeed 1 Hassanpour-Yakhdani, Zahra 1 Havlíček, Miloslav 1 Hirokawa, Masao 1 Hofmanová, Martina 1 Huang, Longxiu 1 Il’kiv, Volodymyr Stepanovych 1 Jaffe, Arthur Michael 1 Kesri, M’hamed 1 Kosaka, Takuya 1 Kotrbatý, Jan 1 Kramar Fijavž, Marjeta 1 Kuzhel, Sergei 1 Lewkowicz, Izchak 1 Li, Yuan 1 Li, Yumin 1 Liu, Jingcheng 1 Manov, Anatoliĭ Dmitrievich 1 Manuĭlov, Vladimir Markovich 1 Martin, Robert T. W. 1 Mohammadi, Mohammad Hassan 1 Moylan, Patrick 1 Mugnolo, Delio 1 Mukhamedov, Farruh Maksutovich 1 Nathanson, Ekaterina S. 1 Nicaise, Serge 1 Niedzialomski, Robert 1 Nikzad Pasikhani, Fatemeh 1 Nizhnik, Leonid Pavlovich 1 Oh, Jihwan 1 Petrosyan, Armenak 1 Phillips, Jason D. 1 Porat, Motke 1 Pošta, Severin 1 Rieger, Christian 1 Sadeghi, Ghadir 1 Schlein, Benjamin 1 Schönlein, Michael 1 Sebestyén, Zoltán 1 Shamloo, Sara 1 Silva, Luis O. 1 Strap, Nataliya Igorivna 1 Talebi, Ali 1 Tang, Sui 1 Tarcsay, Zsigmond 1 Varsaie, Saad 1 Volyanska, Iryna I. 1 Wang, Rui 1 Wang, Yanan 1 Watson, Cody E. 1 Wu, Yaokun 1 Xu, Qingxiang 1 Xu, Yuesheng 1 Zhao, Da 1 Zheng, Faye 1 Zwicknagl, Barbara Maria 1 Zynda, Tomasz Lukasz all top 5 Cited in 44 Serials 7 Journal of Mathematical Analysis and Applications 7 Complex Analysis and Operator Theory 5 Journal of Mathematical Physics 2 Acta Applicandae Mathematicae 2 Journal of Theoretical Probability 2 Forum Mathematicum 2 Opuscula Mathematica 2 Positivity 2 Journal of Applied Mathematics and Computing 2 Operators and Matrices 2 Banach Journal of Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Mathematical Physics 2 Sampling Theory, Signal Processing, and Data Analysis 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Dissertationes Mathematicae 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Numerical Functional Analysis and Optimization 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 The Journal of Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Applied Statistics 1 Foundations of Computational Mathematics 1 Journal of Machine Learning Research (JMLR) 1 Sampling Theory in Signal and Image Processing 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 GEM - International Journal on Geomathematics 1 Annals of Functional Analysis 1 Concrete Operators 1 International Journal of Applied and Computational Mathematics 1 Advances in Operator Theory 1 Korean Journal of Mathematics 1 The Art of Discrete and Applied Mathematics all top 5 Cited in 30 Fields 42 Operator theory (47-XX) 34 Functional analysis (46-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 18 Probability theory and stochastic processes (60-XX) 16 Quantum theory (81-XX) 12 Numerical analysis (65-XX) 9 Potential theory (31-XX) 9 Partial differential equations (35-XX) 8 Information and communication theory, circuits (94-XX) 7 Measure and integration (28-XX) 7 Statistics (62-XX) 6 Topological groups, Lie groups (22-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Computer science (68-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year