Edit Profile Ball, Joseph Anthony Compute Distance To: Compute Author ID: ball.joseph-a Published as: Ball, J. A.; Ball, Joseph; Ball, Joseph A. Homepage: http://www.math.vt.edu/people/ball/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 232 Publications since 1974, including 11 Books Reviewing Activity: 117 Reviews Biographic References: 1 Publication all top 5 Co-Authors 19 single-authored 34 Gohberg, Israel 34 Helton, John William 32 Bolotnikov, Vladimir 26 Rodman, Leiba X. 17 Vinnikov, Victor 14 Kaashoek, Marinus Adriaan 10 ter Horst, Sanne 8 Groenewald, Gilbert J. 8 Rakowski, Marek 7 Fang, Quanlei 7 Ran, André C. M. 6 Alpay, Daniel Aron 6 Spitkovsky, Ilya Matvey 5 Clancey, Kevin F. 4 Day, Martin V. 4 Kaliuzhnyi-Verbovetskyi, Dmitry S. 4 Kim, Jeongook 4 Malakorn, Tanit 4 Sadosky, Cora 4 Sasane, Amol J. 4 Trent, Tavan T. 4 Verma, Madanpal S. 3 Chudoung, Jerawan 3 Cohen, Nir 3 Fanney, Thomas R. 3 Foiaş, Ciprian Ilie 3 Kachroo, Pushkin 3 Lubin, Arthur 3 Staffans, Olof Johan 3 Tannenbaum, Allen Robert 3 van der Schaft, Arjan J. 2 Behrndt, Jussi 2 Huamán, Moisés D. Guerra 2 Kang, Jeongook 2 Kheifets, Alexander 2 Klaus, Martin 2 Kurula, Mikael 2 Luse, D. William 2 Marx, Gregory 2 Petersen, Mark Adam 2 Sau, Haripada 1 Abrahamse, M. B. 1 Agler, Jim 1 Antoulas, Athanasios C. 1 Aplay, D. 1 Arendt, Wolfgang 1 Biswas, Animikh 1 Boquet, Grant M. 1 Carpenter, Lonnie E. 1 Carroll, Philip T. 1 Curto, Raúl Enrique 1 Dritschel, Michael A. 1 Eidelman, Yuli 1 Förster, Karl-Heinz 1 Greenberg, William R. 1 Grudsky, Sergei Mikhailovich 1 Jonckheere, Edmond A. 1 Karlovich, Yuri I. 1 Krener, Arthur James 1 Kriete, Thomas L. III 1 Li, Wing Suet 1 McCarthy, John Edward 1 Mehl, Christian 1 Mehrmann, Volker 1 Mikkola, Kalle M. 1 Ohsawa, Takeo 1 Olin, Robert F. 1 Olshevsky, Vadim 1 Peretz, Yossi 1 Portal, Pierre 1 Potapov, Denis 1 Quiroga-Barranco, Raul 1 Raney, Michael W. 1 Rosenthal, Joachim 1 Ross, William T. jun. 1 Rovnyak, James 1 Saitoh, Saburou 1 Shalom, Tamir 1 Sung, Chen-Han 1 Taub, Bart 1 ter Elst, Antonius Frederik Maria 1 Thomson, James E. 1 Timotin, Dan 1 Trunk, Carsten 1 Uetake, Yoichi 1 Vasilevski, Nikolai Leonidovich 1 Walker, Michael Luke 1 Willems, Jan Camiel 1 Wyman, Bostwick F. 1 Young, Nicholas John 1 Yu, Tungsheng 1 Zwart, Hans J. all top 5 Serials 33 Integral Equations and Operator Theory 17 Linear Algebra and its Applications 10 Journal of Operator Theory 8 Multidimensional Systems and Signal Processing 8 Operator Theory: Advances and Applications 7 Journal of Mathematical Analysis and Applications 7 Proceedings of the American Mathematical Society 7 Complex Analysis and Operator Theory 6 Journal of Functional Analysis 5 IEEE Transactions on Automatic Control 5 SIAM Journal on Control and Optimization 5 MCSS. Mathematics of Control, Signals, and Systems 4 Indiana University Mathematics Journal 4 Systems & Control Letters 3 International Journal of Control 2 Linear and Multilinear Algebra 2 Transport Theory and Statistical Physics 2 Acta Scientiarum Mathematicarum 2 American Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Journal of Mathematical Systems, Estimation, and Control 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Automatica 1 Illinois Journal of Mathematics 1 Pacific Journal of Mathematics 1 Analysis 1 Acta Applicandae Mathematicae 1 Economics Letters 1 International Journal of Robust and Nonlinear Control 1 The New York Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the American Mathematical Society 1 Operators and Matrices all top 5 Fields 159 Operator theory (47-XX) 98 Systems theory; control (93-XX) 54 Functional analysis (46-XX) 39 Functions of a complex variable (30-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 19 Approximations and expansions (41-XX) 18 Several complex variables and analytic spaces (32-XX) 9 General and overarching topics; collections (00-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 5 Topological groups, Lie groups (22-XX) 5 Numerical analysis (65-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 196 Publications have been cited 2,046 times in 1,059 Documents Cited by ▼ Year ▼ Interpolation of rational matrix functions. Zbl 0708.15011Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 235 1990 A Beurling-Lax theorem for the Lie group U(m,n) which contains most classical interpolation theory. Zbl 0505.47029Ball, Joseph A.; Helton, J. William 94 1983 \(H^ \infty\) control for nonlinear systems with output feedback. Zbl 0782.93032Ball, Joseph A.; Helton, J. William; Walker, Michael L. 80 1993 Errata to: Two-sided tangential interpolation of real rational matrix functions. Zbl 0835.41005Ball, J. A.; Gohberg, I.; Rodman, L. 75 1994 Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces. Zbl 0983.47011Ball, Joseph A.; Trent, Tavan T.; Vinnikov, Victor 74 2001 Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables. Zbl 0914.47020Ball, Joseph A.; Trent, Tavan T. 62 1998 Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions. Zbl 0588.47019Ball, Joseph A.; Helton, J. William 42 1986 On the solution of the minimal rational interpolation problem. Zbl 0715.93020Antoulas, A. C.; Ball, J. A.; Kang, J.; Willems, J. C. 37 1990 Conservative structured noncommutative multidimensional linear systems. Zbl 1110.47066Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit 34 2006 Scattering systems with several evolutions and multidimensional input/state/output systems. Zbl 1092.47006Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor 31 2005 Optimal Hankel norm model reductions and Wiener-Hopf factorization. I: The canonical case. Zbl 0623.93016Ball, Joseph A.; Ran, André C. M. 31 1987 Sensitivity minimization in an \(H^{\infty}\) norm: parametrization of all suboptimal solutions. Zbl 0634.93024Ball, Joseph A.; Cohen, Nir 30 1987 Nevanlinna-Pick interpolation for time-varying input-output maps: The discrete case. Zbl 0747.93052Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 29 1992 Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions. Zbl 0525.47013Ball, Joseph A. 28 1983 Lax–Phillips scattering and conservative linear system: a Cuntz-algebra multidimensional setting. Zbl 1100.47008Ball, Joseph A.; Vinnikov, Victor 27 2005 De Branges-Rovnyak operator models and systems theory: A survey. Zbl 0756.47007Ball, Joseph A.; Cohen, Nir 27 1991 Structured noncommutatitve multidimensional linear systems. Zbl 1139.93006Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit 26 2005 Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\). Zbl 1061.47014Ball, Joseph A.; Bolotnikov, Vladimir 22 2004 Formal reproducing kernel Hilbert spaces: The commutative and noncommutative settings. Zbl 1084.46018Ball, Joseph A.; Vinnikov, Victor 21 2003 Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix fay trisecant identity. Zbl 0945.47008Ball, Joseph A.; Vinnikov, Victor 21 1999 On the eigenvalues of matrices with given upper triangular part. Zbl 0706.15010Ball, J. A.; Gohberg, Israel; Rodman, Leiba; Shalom, T. 21 1990 A commutant lifting theorem on the polydisc. Zbl 0953.32010Ball, J. A.; Li, W. S.; Timotin, D.; Trent, T. T. 20 1999 Models for noncontractions. Zbl 0317.47004Ball, Joseph A. 19 1975 Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators. Zbl 0621.47012Ball, Joseph A.; Kriete, Thomas L. III. 18 1987 Conservative state-space realizations of dissipative system behaviors. Zbl 1152.93018Ball, Joseph A.; Staffans, Olof J. 17 2006 Reproducing kernels for Hardy spaces on multiply connected domains. Zbl 0867.30038Ball, Joseph A.; Clancey, Kevin F. 16 1996 Two-sided Lagrange-Sylvester interpolation problems for rational matrix functions. Zbl 0712.15032Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 15 1990 Local inverse spectral problems for rational matrix functions. Zbl 0621.47022Ball, Joseph A.; Ran, André C. M. 15 1987 \(J\)-inner-outer factorization, \(J\)-spectral factorization, and robust control for nonlinear systems. Zbl 0848.93010Ball, Joseph A.; van der Schaft, Arjan J. 14 1996 A factorization principle for stabilization of linear control systems. Zbl 0759.93065Ball, Joseph A.; Helton, J. William; Verma, Madanpal 14 1991 Global inverse spectral problems for rational matrix functions. Zbl 0617.15017Ball, Joseph A.; Ran, André C. M. 14 1987 Beurling-Lax representations using classical Lie groups with many applications. III: Groups preserving two bilinear forms. Zbl 0601.47015Ball, Joseph A.; Helton, J. William 14 1986 Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case. Zbl 0596.15011Ball, Joseph A.; Gohberg, Israel 14 1986 A lifting theorem for operator models of finite rank on multiply- connected domains. Zbl 0435.47035Ball, Joseph A. 14 1979 Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. Zbl 1210.47041Ball, Joseph A.; Bolotnikov, Vladimir 13 2010 Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. Zbl 1290.47014Ball, Joseph A.; Bolotnikov, Vladimir 12 2013 Bounded real lemma for structured noncommutative multidimensional linear systems and robust control. Zbl 1125.93334Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit 12 2006 Overdetermined multidimensional systems: state space and frequency domain methods. Zbl 1050.93044Ball, Joseph A.; Vinnikov, Victor 12 2003 Minimal factorization of meromorphic matrix functions in terms of local data. Zbl 0621.47020Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 12 1987 Hardy space expectation operators and reducing subspaces. Zbl 0296.47022Ball, Joseph A. 12 1975 Noncommutative reproducing kernel Hilbert spaces. Zbl 1350.47014Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor 11 2016 Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems. Zbl 0861.47010Ball, Joseph A.; Vinnikov, Victor 11 1996 Realization and factorization for rational matrix functions with symmetries. Zbl 0735.15011Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 11 1990 Nevanlinna-Pick interpolation: Generalizations and applications. Zbl 0758.47012Ball, Joseph A. 11 1988 A commutant lifting theorem for triangular matrices with diverse applications. Zbl 0561.47008Ball, Joseph A.; Gohberg, Israel 11 1985 Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory. Zbl 1324.47022Ball, Joseph A.; Bolotnikov, Vladimir 10 2013 Interpolation problems for Schur multipliers on the Drury–Arveson space: from Nevanlinna–Pick to abstract interpolation problem. Zbl 1170.47006Ball, Joseph A.; Bolotnikov, Vladimir 10 2008 Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations. Zbl 1223.47012Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 10 2008 Interpolation in the noncommutative Schur–Agler class. Zbl 1164.47023Ball, Joseph A.; Bolotnikov, Vladimir 10 2007 Functional models for representations of the Cuntz algebra. Zbl 1092.47012Ball, Joseph A.; Vinnikov, Victor 10 2005 Linear systems, operator model theory and scattering: Multivariable generalizations. Zbl 0973.93021Ball, J. A. 10 2000 Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems. Zbl 0824.47016Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 10 1995 The two-sided residue interpolation in the Stieltjes class of matrix functions. Zbl 0854.15009Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 10 1994 Simultaneous residue interpolation problems for rational matrix functions. Zbl 0713.15009Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 10 1990 Tangential interpolation problems for rational matrix functions. Zbl 0699.30029Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 10 1990 Nonnormal dilations, disconjugacy and constrained spectral factorization. Zbl 0443.47008Ball, Joseph A.; Helton, J. William 10 1980 Interpolation and transfer-function realization for the noncommutative Schur-Agler class. Zbl 1443.46039Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor 9 2018 A Beurling type theorem in weighted Bergman spaces. Zbl 1277.47012Ball, Joseph A.; Bolotnikov, Vladimir 9 2013 Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. Zbl 1199.47061Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 9 2007 Transfer-function realization for multipliers of the Arveson space. Zbl 1126.47011Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 9 2007 Viscosity solutions of Hamilton-Jacobi equations arising in nonlinear \(H_ \infty\)-control. Zbl 0844.93035Ball, Joseph A.; Helton, J. William 9 1996 Beurling-Lax representations using classical Lie groups with many applications. II: \(\mathrm{GL}(n,\mathbb C)\) and Wiener-Hopf factorization. Zbl 0539.47010Ball, Joseph A.; Helton, William J. 9 1984 Factorization results related to shifts in an indefinite metric. Zbl 0499.47013Ball, Joseph A.; Helton, J. William 9 1982 Analytic Toeplitz operators with automorphic symbol. II. Zbl 0351.47023Abrahamse, M. B.; Ball, Joseph A. 9 1976 Discrete-time dichotomous well-posed linear systems and generalized Schur–Nevanlinna–Pick interpolation. Zbl 1127.47014Ball, Joseph A.; Raney, Michael W. 8 2007 Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve. Zbl 1051.30035Ball, Joseph A.; Vinnikov, Victor 8 2001 Nevanlinna-Pick interpolation for time-varying input-output maps: The continuous time case. Zbl 0746.41001Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 8 1992 Shift invariant manifolds and nonlinear analytic function theory. Zbl 0659.47004Ball, Joseph A.; Helton, J. William 8 1988 Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations. Zbl 1321.32002Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S. 7 2015 A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions. Zbl 1196.47013Ball, Joseph A.; Bolotnikov, Vladimir; Horst, Sanne Ter 7 2010 Multivariable backward-shift-invariant subspaces and observability operators. Zbl 1156.47012Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 7 2007 On a bitangential interpolation problem for contractive-valued functions on the unit ball. Zbl 1037.47011Ball, Joseph A.; Bolotnikov, Vladimir 7 2002 Common minimal multiples and divisors for rational matrix functions. Zbl 0722.15015Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 7 1990 Frequency-scale decomposition of \(H^{\infty}\)-disk problems. Zbl 0682.93043Luse, D. William; Ball, Joseph A. 7 1989 On a local nonlinear commutant lifting theorems. Zbl 0652.47004Ball, Joseph A.; Foias, Ciprian; Helton, J. William; Tannenbaum, Allen 7 1987 Weakly closed algebras of subnormal operators. Zbl 0377.47022Ball, Joseph A.; Olin, Robert F.; Thomson, James E. 7 1978 On a class of contractive perturbations of restricted shifts. Zbl 0325.47010Ball, Joseph A.; Lubin, Arthur 7 1976 Multidimensional circuit synthesis and multivariable dilation theory. Zbl 1219.47025Ball, Joseph A. 6 2011 Conservative input-state-output systems with evolution on a multidimensional integer lattice. Zbl 1219.93065Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor 6 2005 Bitangential interpolation for input-output maps of time-varying systems: The continuous time case. Zbl 0808.47013Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 6 1994 Factorization and feedback stabilization for nonlinear systems. Zbl 0925.93831Ball, Joseph A.; Verma, Madan 6 1994 Column reduced rational matrix functions with given null-pole data in the complex plane. Zbl 0809.15010Ball, J. A.; Kaashoek, M. A.; Groenewald, G.; Kim, J. 6 1994 Interpolation by rational matrix functions and stability of feedback systems: The 4-block case. Zbl 0793.47011Ball, Joseph A.; Rakowski, Marek 6 1992 Nonlinear \(H^ \infty\) control theory for stable plants. Zbl 0760.93021Ball, Joseph A.; Helton, J. William 6 1992 Zero data and interpolation problems for rectangular matrix polynomials. Zbl 0731.15017Ball, Joseph A.; Cohen, Nir; Rodman, Leiba 6 1991 Null-pole subspaces of nonregular rational matrix functions. Zbl 0738.93028Ball, Joseph A.; Rakowski, Marek 6 1991 Minimal McMillan degree rational matrix functions with prescribed local zero-pole structure. Zbl 0715.93015Ball, Joseph A.; Rakowski, Marek 6 1990 Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree. Zbl 0712.15031Ball, Joseph A.; Kang, Jeongook 6 1990 Zero-pole structure of nonregular rational matrix functions. Zbl 0746.30009Ball, Joseph A.; Rakowski, Marek 6 1990 Lie groups over the field of rational functions, signed spectral factorization, signed interpolation, and amplifier design. Zbl 0493.22008Ball, Joseph A.; Helton, J. William 6 1982 Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations. Zbl 1295.32003Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S. 5 2014 Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting. Zbl 1303.47016Ball, Joseph A.; Guerra Huamán, Moisés D. 5 2013 Extension of the \(\nu\)-metric. Zbl 1272.93046Ball, Joseph A.; Sasane, Amol J. 5 2012 Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions. Zbl 1276.47008Bolotnikov, Vladimir; Ball, Joseph A. 5 2012 Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. Zbl 1273.47030Ball, Joseph A.; Bolotnikov, Vladimir 5 2012 Interpolation in de Branges-Rovnyak spaces. Zbl 1223.30009Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne 5 2011 Multivariable generalizations of the Schur class: Positive kernel characterization and transfer function realization. Zbl 1156.47018Ball, Joseph A.; Biswas, Animikh; Fang, Quanlei; ter Horst, Sanne 5 2009 Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings. Zbl 1167.93329Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S. 5 2008 Conservative linear systems, unitary colligations and Lax-Phillips scattering: multidimensional generalizations. Zbl 1073.47533Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor 5 2004 A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space. Zbl 1038.47009Ball, Joseph A.; Bolotnikov, Vladimir 5 2003 Interpolation and transfer-function realization for the noncommutative Schur-Agler class. Zbl 1443.46039Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor 9 2018 Contractive multipliers from Hardy space to weighted Hardy space. Zbl 1364.30040Ball, Joseph A.; Bolotnikov, Vladimir 2 2017 Noncommutative reproducing kernel Hilbert spaces. Zbl 1350.47014Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor 11 2016 Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting. Zbl 1368.93491Ball, Joseph A.; Groenewald, Gilbert; ter Horst, Sanne 3 2016 On the expansive property of inner functions in weighted Hardy spaces. Zbl 1394.47019Ball, Joseph A.; Bolotnikov, Vladimir 3 2016 Meromorphic matrix trivializations of factors of automorphy over a Riemann surface. Zbl 1359.14035Ball, Joseph A.; Clancey, Kevin F.; Vinnikov, Victor 1 2016 Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations. Zbl 1321.32002Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S. 7 2015 De Branges-Rovnyak spaces: basics and theory. Zbl 1347.46018Ball, Joseph A.; Bolotnikov, Vladimir 4 2015 Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces. Zbl 1317.47006Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Sadosky, Cora; Vinnikov, Victor 3 2015 De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane. Zbl 1317.47013Ball, Joseph A.; Kurula, Mikael; Staffans, Olof J.; Zwart, Hans 3 2015 De Branges-Rovnyak spaces and norm-constrained interpolation. Zbl 1342.47022Ball, Joseph A.; Bolotnikov, Vladimir 1 2015 Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations. Zbl 1295.32003Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S. 5 2014 Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. Zbl 1290.47014Ball, Joseph A.; Bolotnikov, Vladimir 12 2013 Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory. Zbl 1324.47022Ball, Joseph A.; Bolotnikov, Vladimir 10 2013 A Beurling type theorem in weighted Bergman spaces. Zbl 1277.47012Ball, Joseph A.; Bolotnikov, Vladimir 9 2013 Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting. Zbl 1303.47016Ball, Joseph A.; Guerra Huamán, Moisés D. 5 2013 Convexity analysis and the matrix-valued Schur class over finitely connected planar domains. Zbl 1349.46005Ball, J. A.; Huamán, M. D. Guerra 3 2013 The Takagi problem on the disk and bidisk. Zbl 1299.30108Agler, Jim; Ball, Joseph A.; McCarthy, John E. 2 2013 Interpolation in sub-Bergman spaces. Zbl 1300.47021Ball, Joseph A.; Bolotnikov, Vladimir 1 2013 Extension of the \(\nu\)-metric. Zbl 1272.93046Ball, Joseph A.; Sasane, Amol J. 5 2012 Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions. Zbl 1276.47008Bolotnikov, Vladimir; Ball, Joseph A. 5 2012 Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. Zbl 1273.47030Ball, Joseph A.; Bolotnikov, Vladimir 5 2012 Canonical transfer-function realization for Schur-Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1252.47007Ball, Joseph A.; Bolotnikov, Vladimir 2 2012 A behavioral interpretation of Livšic systems. Zbl 1256.93057Ball, Joseph A.; Boquet, Grant M.; Vinnikov, Victor 1 2012 Multidimensional circuit synthesis and multivariable dilation theory. Zbl 1219.47025Ball, Joseph A. 6 2011 Interpolation in de Branges-Rovnyak spaces. Zbl 1223.30009Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne 5 2011 Abstract interpolation in vector-valued de Branges-Rovnyak spaces. Zbl 1230.47032Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne 4 2011 The inverse commutant lifting problem. I: Coordinate-free formalism. Zbl 1244.47010Ball, Joseph A.; Kheifets, Alexander 1 2011 Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. Zbl 1210.47041Ball, Joseph A.; Bolotnikov, Vladimir 13 2010 A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions. Zbl 1196.47013Ball, Joseph A.; Bolotnikov, Vladimir; Horst, Sanne Ter 7 2010 Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation. Zbl 1213.47014Ball, Joseph A.; ter Horst, Sanne 4 2010 Multivariable operator-valued Nevanlinna-Pick interpolation: a survey. Zbl 1206.47019Ball, Joseph A.; ter Horst, Sanne 1 2010 Multivariable generalizations of the Schur class: Positive kernel characterization and transfer function realization. Zbl 1156.47018Ball, Joseph A.; Biswas, Animikh; Fang, Quanlei; ter Horst, Sanne 5 2009 Interpolation problems for Schur multipliers on the Drury–Arveson space: from Nevanlinna–Pick to abstract interpolation problem. Zbl 1170.47006Ball, Joseph A.; Bolotnikov, Vladimir 10 2008 Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations. Zbl 1223.47012Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 10 2008 Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings. Zbl 1167.93329Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S. 5 2008 Lax-Phillips scattering theory and well-posed linear systems: a coordinate-free approach. Zbl 1145.93024Ball, Joseph A.; Carroll, Philip T.; Uetake, Yoichi 3 2008 Interpolation in the noncommutative Schur–Agler class. Zbl 1164.47023Ball, Joseph A.; Bolotnikov, Vladimir 10 2007 Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. Zbl 1199.47061Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 9 2007 Transfer-function realization for multipliers of the Arveson space. Zbl 1126.47011Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 9 2007 Discrete-time dichotomous well-posed linear systems and generalized Schur–Nevanlinna–Pick interpolation. Zbl 1127.47014Ball, Joseph A.; Raney, Michael W. 8 2007 Multivariable backward-shift-invariant subspaces and observability operators. Zbl 1156.47012Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei 7 2007 Conservative structured noncommutative multidimensional linear systems. Zbl 1110.47066Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit 34 2006 Conservative state-space realizations of dissipative system behaviors. Zbl 1152.93018Ball, Joseph A.; Staffans, Olof J. 17 2006 Bounded real lemma for structured noncommutative multidimensional linear systems and robust control. Zbl 1125.93334Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit 12 2006 Equivalence of a behavioral distance and the gap metric. Zbl 1129.93408Ball, Joseph A.; Sasane, Amol J. 2 2006 Scattering systems with several evolutions and multidimensional input/state/output systems. Zbl 1092.47006Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor 31 2005 Lax–Phillips scattering and conservative linear system: a Cuntz-algebra multidimensional setting. Zbl 1100.47008Ball, Joseph A.; Vinnikov, Victor 27 2005 Structured noncommutatitve multidimensional linear systems. Zbl 1139.93006Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit 26 2005 Functional models for representations of the Cuntz algebra. Zbl 1092.47012Ball, Joseph A.; Vinnikov, Victor 10 2005 Conservative input-state-output systems with evolution on a multidimensional integer lattice. Zbl 1219.93065Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor 6 2005 Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1099.47011Ball, Joseph A.; Bolotnikov, Vladimir 4 2005 State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. Zbl 1091.93004Ball, Joseph A.; Mikkola, Kalle M.; Sasane, Amol J. 1 2005 Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\). Zbl 1061.47014Ball, Joseph A.; Bolotnikov, Vladimir 22 2004 Conservative linear systems, unitary colligations and Lax-Phillips scattering: multidimensional generalizations. Zbl 1073.47533Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor 5 2004 Multidimensional linear feedback control systems and interpolation problems for multivariable holomorphic functions. Zbl 1035.93037Ball, Joseph A.; Malakorn, Tanit 3 2004 Inner-outer factorization for nonlinear noninvertible systems. Zbl 1365.93094Ball, Joseph A.; Petersen, Mark A.; van der Schaft, Arjan 1 2004 Boundary interpolation for contractive-valued functions on circular domains in \(\mathbb{C}^n\). Zbl 1090.47008Ball, Joseph A.; Bolotnikov, Vladimir 1 2004 Formal reproducing kernel Hilbert spaces: The commutative and noncommutative settings. Zbl 1084.46018Ball, Joseph A.; Vinnikov, Victor 21 2003 Overdetermined multidimensional systems: state space and frequency domain methods. Zbl 1050.93044Ball, Joseph A.; Vinnikov, Victor 12 2003 A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space. Zbl 1038.47009Ball, Joseph A.; Bolotnikov, Vladimir 5 2003 Nonlinear minimal square spectral factorization. Zbl 1048.93046Ball, Joseph A.; Petersen, Mark A. 1 2003 On a bitangential interpolation problem for contractive-valued functions on the unit ball. Zbl 1037.47011Ball, Joseph A.; Bolotnikov, Vladimir 7 2002 A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur–Agler class. Zbl 1015.47004Ball, Joseph A.; Bolotnikov, Vladimir 5 2002 Robust optimal switching control for nonlinear systems. Zbl 1042.49029Ball, Joseph A.; Chudoung, Jerawan; Day, Martin V. 4 2002 System theory, operator models and scattering: the time-varying case. Zbl 1019.47009Alpay, Daniel; Ball, Joseph A.; Peretz, Yossi 3 2002 Toeplitz corona problem for algebras of almost periodic functions. Zbl 1052.46018Ball, J. A.; Rodman, L.; Spitkovsky, I. M. 2 2002 Concrete interpolation of meromorphic matrix functions on Riemann surfaces. Zbl 1057.30035Ball, Joseph A.; Clancey, Kevin F.; Vinnikov, Victor 1 2002 Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces. Zbl 0983.47011Ball, Joseph A.; Trent, Tavan T.; Vinnikov, Victor 74 2001 Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve. Zbl 1051.30035Ball, Joseph A.; Vinnikov, Victor 8 2001 Linear systems, operator model theory and scattering: Multivariable generalizations. Zbl 0973.93021Ball, J. A. 10 2000 The abstract interpolation problem and commutant lifting: A coordinate-free approach. Zbl 0952.47017Ball, Joseph A.; Trent, Tavan T. 3 2000 On the tangential interpolation problem for contractive valued functions in the polydisk. Zbl 0998.47008Aplay, D.; Ball, J. A.; Bolotnikov, V. 2 2000 Comparison theorems for viscosity solutions of a system of quasivariational inequalities with application to optimal control with switching costs. Zbl 0964.49015Ball, Joseph A.; Chudoung, Jerawan 1 2000 Problems on the realization of functions. Zbl 0986.93014Ball, J. A.; Young, N. J. 1 2000 Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix fay trisecant identity. Zbl 0945.47008Ball, Joseph A.; Vinnikov, Victor 21 1999 A commutant lifting theorem on the polydisc. Zbl 0953.32010Ball, J. A.; Li, W. S.; Timotin, D.; Trent, T. T. 20 1999 Robust feedback control of a single server queueing system. Zbl 0940.93028Ball, Joseph A.; Day, Martin V.; Kachroo, Pushkin 5 1999 Robust \(L_2\)-gain control for nonlinear systems with projection dynamics and input constraints: An example from traffic control. Zbl 0946.93015Ball, Joseph A.; Day, Martin V.; Yu, Tungsheng; Kachroo, Pushkin 4 1999 Reproducing kernels and their applications. Prodeedings of the session of the 1st international congress of the International Society for Analysis, its Applications and Computations (ISAAC’97), Newark, DE, USA, June 3–7, 1997. Zbl 0957.00034Saitoh, Saburou (ed.); Alpay, Daniel (ed.); Ball, Joseph A. (ed.); Ohsawa, Takeo (ed.) 2 1999 \(H_\infty\) tracking control for a class of nonlinear systems. Zbl 0955.93011Ball, Joseph A.; Kachroo, Pushkin; Krener, Arthur J. 1 1999 Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables. Zbl 0914.47020Ball, Joseph A.; Trent, Tavan T. 62 1998 Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions. Zbl 0933.42003Ball, J. A.; Karlovich, Yu. I.; Rodman, L.; Spitkovsky, I. M. 3 1998 Nudelman interpolation and the band method. Zbl 0898.47008Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 3 1997 Reproducing kernels for Hardy spaces on multiply connected domains. Zbl 0867.30038Ball, Joseph A.; Clancey, Kevin F. 16 1996 \(J\)-inner-outer factorization, \(J\)-spectral factorization, and robust control for nonlinear systems. Zbl 0848.93010Ball, Joseph A.; van der Schaft, Arjan J. 14 1996 Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems. Zbl 0861.47010Ball, Joseph A.; Vinnikov, Victor 11 1996 Viscosity solutions of Hamilton-Jacobi equations arising in nonlinear \(H_ \infty\)-control. Zbl 0844.93035Ball, Joseph A.; Helton, J. William 9 1996 The band method and Grassmannian approach for completion and extension problems. Zbl 0863.47012Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 5 1996 Commutant lifting and interpolation: The time-varying case. Zbl 0858.47010Ball, Joseph A. 4 1996 Bitangential interpolation problems for symmetric rational matrix functions. Zbl 0858.15013Ball, Joseph A.; Kim, Jeongook 2 1996 Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems. Zbl 0824.47016Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 10 1995 A frequency response function for linear, time-varying systems. Zbl 0855.93050Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 5 1995 Pure sub-Jordan operators and simultaneous approximation by a polynomial and its derivative. Zbl 0849.47011Ball, Joseph A.; Fanney, Thomas R. 3 1995 Errata to: Two-sided tangential interpolation of real rational matrix functions. Zbl 0835.41005Ball, J. A.; Gohberg, I.; Rodman, L. 75 1994 The two-sided residue interpolation in the Stieltjes class of matrix functions. Zbl 0854.15009Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 10 1994 Bitangential interpolation for input-output maps of time-varying systems: The continuous time case. Zbl 0808.47013Ball, J. A.; Gohberg, I.; Kaashoek, M. A. 6 1994 Factorization and feedback stabilization for nonlinear systems. Zbl 0925.93831Ball, Joseph A.; Verma, Madan 6 1994 Column reduced rational matrix functions with given null-pole data in the complex plane. Zbl 0809.15010Ball, J. A.; Kaashoek, M. A.; Groenewald, G.; Kim, J. 6 1994 \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization. Zbl 0794.15012Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba 5 1994 ...and 96 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 918 Authors 83 Ball, Joseph Anthony 73 Alpay, Daniel Aron 55 Bolotnikov, Vladimir 37 Helton, John William 35 Rodman, Leiba X. 30 Gohberg, Israel 30 Vinnikov, Victor 26 Agler, Jim 25 McCullough, Scott A. 22 Kaashoek, Marinus Adriaan 18 McCarthy, John Edward 18 Popescu, Gelu 18 Young, Nicholas John 17 Ran, André C. M. 16 Klep, Igor 14 Chen, Gongning 14 Dym, Harry 14 Fritzsche, Bernd 14 Kirstein, Bernd 13 Arov, Damir Zyamovich 13 Sabadini, Irene 12 Colombo, Fabrizio 12 Kaliuzhnyi-Verbovetskyi, Dmitry S. 11 Hu, Yongjian 11 Jury, Michael T. 11 Sasane, Amol J. 11 Timotin, Dan 11 Woerdeman, Hugo Jan 10 Curtain, Ruth Frances 10 Dijksma, Aad 10 Ionescu, Vlad 10 Lewkowicz, Izchak 10 Sarkar, Jaydeb 9 Knese, Greg 9 Volčič, Jurij 8 Antoulas, Athanasios C. 8 Foiaş, Ciprian Ilie 8 Frazho, Arthur E. 8 Heinig, Georg 8 Rakowski, Marek 8 Tannenbaum, Allen Robert 7 Constantinescu, Tiberiu 7 Dritschel, Michael A. 7 Fang, Quanlei 7 Gu, Caixing 7 Kheifets, Alexander 7 Lerer, Leonid Efimovich 7 Melnikov, Andrey 7 Pascoe, James Eldred 7 Rovnyak, James 7 Shamovich, Eli 7 Tadmor, Gilead 7 ter Horst, Sanne 6 Bickel, Kelly 6 Guo, Kunyu 6 Iglesias, Pablo A. 6 Kailath, Thomas 6 Kim, Jeongook 6 Kimura, Hidenori 6 Kurula, Mikael 6 Langer, Heinz 6 Lasarow, Andreas 6 Loubaton, Philippe 6 Nguang, Sing Kiong 6 Stefanovski, Jovan D. 6 Verma, Madanpal S. 5 Anderson, Brian David Outram 5 Derkach, Vladimir Alexandrovich 5 Dubi, Chen 5 Haria, Kalpesh J. 5 Iftime, Orest V. 5 Jørgensen, Palle E. T. 5 Lykova, Zinaida A. 5 Olivi, Martine 5 Sasu, Adina Luminiţa 5 Sasu, Bogdan 5 Silva, Fernando Conceição 5 Spitkovsky, Ilya Matvey 5 Staffans, Olof Johan 5 Taub, Bart 5 Trent, Tavan T. 5 Tully-Doyle, Ryan 5 Volok, Dan 4 Aliyu, M. D. S. 4 Astolfi, Alessandro 4 Benhida, Chafiq 4 Chen, Chung-Cheng 4 Chen, Guanrong 4 Gohm, Rolf 4 Grinshpan, Anatolii 4 Groenewald, Gilbert J. 4 Hong, Jang-Lee 4 Huang, Hansong 4 Krupnik, Mark 4 Li, Yucheng 4 Martin, Robert T. W. 4 Özbay, Hitay 4 Paulsen, Vern Ival 4 Petersen, Mark Adam 4 Rapisarda, Paolo ...and 818 more Authors all top 5 Cited in 160 Serials 158 Linear Algebra and its Applications 150 Integral Equations and Operator Theory 93 Journal of Functional Analysis 72 Systems & Control Letters 59 Journal of Mathematical Analysis and Applications 54 Automatica 34 Proceedings of the American Mathematical Society 34 Complex Analysis and Operator Theory 26 International Journal of Control 24 Transactions of the American Mathematical Society 18 MCSS. Mathematics of Control, Signals, and Systems 12 Multidimensional Systems and Signal Processing 11 Journal of Computational and Applied Mathematics 10 Linear and Multilinear Algebra 9 Circuits, Systems, and Signal Processing 9 International Journal of Robust and Nonlinear Control 8 Advances in Mathematics 8 European Journal of Control 7 The Journal of Geometric Analysis 6 International Journal of Systems Science 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Rocky Mountain Journal of Mathematics 5 Mathematische Annalen 5 Mathematische Nachrichten 5 Indagationes Mathematicae. New Series 4 Journal of the Franklin Institute 4 Journal of Mathematical Physics 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Soviet Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematical Modelling 4 Nonlinear Dynamics 4 Computational Methods and Function Theory 4 Operators and Matrices 3 Journal d’Analyse Mathématique 3 Studia Mathematica 3 Journal of Optimization Theory and Applications 3 Mathematical Systems Theory 3 Memoirs of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Optimization 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Journal of Mathematical Sciences (New York) 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Mathematical Physics 2 Ukrainian Mathematical Journal 2 Archiv der Mathematik 2 Journal of Approximation Theory 2 Kybernetika 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Constructive Approximation 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 International Journal of Adaptive Control and Signal Processing 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 St. Petersburg Mathematical Journal 2 Mathematical Problems in Engineering 2 Journal of Vibration and Control 2 Honam Mathematical Journal 2 Journal of the European Mathematical Society (JEMS) 2 Science China. Mathematics 2 Asian Journal of Control 2 Concrete Operators 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Advances in Applied Probability 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Transport Theory and Statistical Physics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Calcolo 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Information Sciences 1 Journal of Algebra 1 Mathematika 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Applied Mathematics and Mechanics. (English Edition) ...and 60 more Serials all top 5 Cited in 53 Fields 526 Operator theory (47-XX) 388 Systems theory; control (93-XX) 210 Functional analysis (46-XX) 209 Functions of a complex variable (30-XX) 142 Linear and multilinear algebra; matrix theory (15-XX) 86 Several complex variables and analytic spaces (32-XX) 46 Approximations and expansions (41-XX) 44 Numerical analysis (65-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 32 Algebraic geometry (14-XX) 26 Ordinary differential equations (34-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 21 Probability theory and stochastic processes (60-XX) 18 Information and communication theory, circuits (94-XX) 15 Associative rings and algebras (16-XX) 15 Partial differential equations (35-XX) 15 Operations research, mathematical programming (90-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Commutative algebra (13-XX) 11 Quantum theory (81-XX) 10 Real functions (26-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral equations (45-XX) 5 Topological groups, Lie groups (22-XX) 5 Difference and functional equations (39-XX) 5 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Abstract harmonic analysis (43-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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