Edit Profile (opens in new tab) Baratchart, Laurent Co-Author Distance Author ID: baratchart.laurent Published as: Baratchart, Laurent; Baratchart, L. Documents Indexed: 90 Publications since 1982, including 7 Additional arXiv Preprints 1 Further Contribution Co-Authors: 62 Co-Authors with 80 Joint Publications 1,364 Co-Co-Authors all top 5 Co-Authors 11 single-authored 21 Leblond, Juliette 11 Saff, Edward Barry 10 Olivi, Martine 9 Wielonsky, Franck 8 Yattselev, Maxim L. 6 Pomet, Jean-Baptiste 6 Seyfert, Fabien 5 Grimm, José 5 Hardin, Douglas P. 5 Partington, Jonathan R. 4 Chevillard, Sylvain 4 Prokhorov, Vasily A. 4 Stahl, Herbert Robert 3 Fueyo, Sébastien 3 Gerhards, Christian 3 Qian, Tao 2 Alpay, Daniel Aron 2 Chyba, Monique 2 Gombani, Andrea 2 Kegeles, Alexander 2 Lima, Eduardo Andrade 2 Mandréa, F. 2 Marmorat, Jean-Paul 2 Stylianopoulos, Nikos S. 2 Totik, Vilmos 2 Villalobos-Guillén, C. 1 Ailon, Amit 1 Atfeh, Bilal 1 Bebbouchi, Rachid 1 Ben Abda, Amel 1 Ben Hassen, Fahmi 1 Benoit, K. 1 Bobo-Seke 1 Borichev, Aleksandr Aleksandrovich 1 Bourgeois, Laurent 1 Callot, Jean-Louis 1 Cardelli, Michel 1 Chaabi, Slah 1 Cooman, Adam 1 Dang, Pei 1 de Oliveira, A. J. Franco 1 Diener, Marc 1 Enqvist, Per 1 Fischer, Yannick 1 Golinskii, Leonid Borisovich 1 Guillén, Cristóbal Villalobos 1 Harthong, Jacques 1 Küstner, Reinhold 1 Langholz, Gideon 1 Lebeau, Gilles 1 Lobry, Claude 1 Lubinsky, Doron S. 1 Lunot, V. 1 Mai, Weixiong 1 Martínez-Finkelshtein, Andrei 1 Menzel, Peter 1 Mhaskar, Hrushikesh N. 1 Nazarov, Fedor L. 1 Northington, Michael C. 1 Peller, Vladimir Vsevolodovich 1 Pottier, Loïc 1 Pritsker, Igor E. 1 Putinar, Mihai 1 Rigat, Stéphane 1 Russ, Emmanuel 1 Sari, Nadir 1 Sari, Tewfik 1 Steer, Serge 1 Torkhani, N. 1 Van den Berg, Imme Pieter 1 Varjú, Péter Pál 1 Wallet, Guy 1 Weiss, B. P. 1 Xu, Yuan all top 5 Serials 6 Constructive Approximation 5 Journal of Approximation Theory 4 Inverse Problems 3 Journal d’Analyse Mathématique 3 Journal of Functional Analysis 3 SIAM Journal on Mathematical Analysis 3 ETNA. Electronic Transactions on Numerical Analysis 3 Foundations of Computational Mathematics 2 IEEE Transactions on Automatic Control 2 Systems & Control Letters 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Sbornik: Mathematics 2 Computational Methods and Function Theory 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Automatica 1 Canadian Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 IMA Journal of Mathematical Control and Information 1 MCSS. Mathematics of Control, Signals, and Systems 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Convex Analysis 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 the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Complex Variables and Elliptic Equations 1 Inverse Problems and Imaging 1 Mathematics in Engineering all top 5 Fields 39 Approximations and expansions (41-XX) 33 Functions of a complex variable (30-XX) 25 Systems theory; control (93-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 11 Partial differential equations (35-XX) 8 Potential theory (31-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 535 times in 262 Documents Cited by ▼ Year ▼ Identification and rational \(L^ 2\) approximation: A gradient algorithm. Zbl 0729.93079 Baratchart, Laurent; Cardelli, Michel; Olivi, Martine 32 1991 Hardy approximation to \(L^ \infty\) functions on subsets of the circle. Zbl 0853.30022 Baratchart, L.; Leblond, J.; Partington, J. R. 22 1996 Hardy approximation to \(L^p\) functions on subsets of the circle with \(1\leq p<\infty\). Zbl 0894.30023 Baratchart, L.; Leblond, J. 21 1998 Hardy spaces of the conjugate Beltrami equation. Zbl 1196.42022 Baratchart, Laurent; Leblond, Juliette; Rigat, Stéphane; Russ, Emmanuel 20 2010 Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions. Zbl 1334.78017 Baratchart, L.; Hardin, D. P.; Lima, E. A.; Saff, E. B.; Weiss, B. P. 19 2013 Weighted extremal domains and best rational approximation. Zbl 1232.41014 Baratchart, Laurent; Stahl, Herbert; Yattselev, Maxim 17 2012 Existence and generic properties of \(L^ 2\) approximants for linear systems. Zbl 0637.93027 Baratchart, Laurent 16 1986 Recovery of pointwise sources or small inclusions in 2D domains and rational approximation. Zbl 1086.35121 Baratchart, L.; Ben Abda, A.; Ben Hassen, F.; Leblond, J. 14 2005 Some extremal problems linked with identification from partial frequency data. Zbl 0792.93022 Alpay, Daniel; Baratchart, Laurent; Leblond, Juliette 14 1993 Bounded extremal and Cauchy-Laplace problems on the sphere and shell. Zbl 1193.31003 Atfeh, Bilal; Baratchart, Laurent; Leblond, Juliette; Partington, Jonathan R. 13 2010 Rational approximation in the real Hardy space \(H_ 2\) and Stieltjes integrals: A uniqueness theorem. Zbl 0769.30024 Baratchart, L.; Wielonsky, F. 13 1993 Convergent interpolation to Cauchy integrals over analytic arcs with Jacobi-type weights. Zbl 1215.41005 Baratchart, Laurent; Yattselev, Maxim 13 2010 How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian? Zbl 0921.35187 Baratchart, L.; Leblond, J.; Mandréa, F.; Saff, E. B. 12 1999 Uniqueness results for inverse Robin problems with bounded coefficient. Zbl 1439.35559 Baratchart, Laurent; Bourgeois, Laurent; Leblond, Juliette 12 2016 Rational and meromorphic approximation in \(\text{L}^p\) of the circle: System-theoretic motivations, critical points and error rates. Zbl 0935.41011 Baratchart, Laurent 11 1999 An \(L^{p}\) analog to AAK theory for \(p\geq 2\). Zbl 1050.47021 Baratchart, L.; Seyfert, F. 11 2002 Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation. Zbl 1293.30086 Baratchart, Laurent; Fischer, Yannick; Leblond, Juliette 11 2014 Rational interpolation of the exponential function. Zbl 0852.41013 Baratchart, L.; Saff, E. B.; Wielonsky, F. 10 1995 Convergent interpolation to Cauchy integrals over analytic arcs. Zbl 1182.42026 Baratchart, Laurent; Yattselev, Maxim 10 2009 Asymptotic uniqueness of best rational approximants of given degree to Markov functions in \({\mathcal L}^2\) of the circle. Zbl 0983.30018 Baratchart, L.; Stahl, H.; Wielonsky, F. 10 2001 2D inverse problems for the Laplacian: a meromorphic approximation approach. Zbl 1106.35129 Baratchart, L.; Mandréa, F.; Saff, E. B.; Wielonsky, F. 9 2006 A criterion for uniqueness of a critical point in \(H_ 2\) rational approximation. Zbl 0870.41013 Baratchart, L.; Saff, E. B.; Wielonsky, F. 9 1996 Robust identification from band-limited data. Zbl 0889.93014 Baratchart, L.; Leblond, J.; Partington, J. R.; Torkhani, N. 9 1997 Asymptotic estimates for interpolation and constrained approximation in \(H^2\) by diagonalization of Toeplitz operators. Zbl 1058.41008 Baratchart, Laurent; Grimm, José; Leblond, Juliette; Partington, Jonathan R. 9 2003 Multipoint Schur algorithm and orthogonal rational functions. I: Convergence properties. Zbl 1248.30015 Baratchart, L.; Kupin, S.; Lunot, V.; Olivi, M. 8 2011 Asymptotic error for \(L^2\) best rational approximants to Markov functions. Zbl 0973.41007 Baratchart, L.; Stahl, H.; Wielonsky, F. 8 2001 Best meromorphic approximation of Markov functions on the unit circle. Zbl 1053.41019 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 8 2001 Pseudo-holomorphic functions at the critical exponent. Zbl 1353.30044 Baratchart, Laurent; Borichev, Alexander; Chaabi, Slah 8 2016 Index of critical points in rational \(\ell\) 2-approximation. Zbl 0636.41009 Baratchart, Laurent; Olivi, Martine 7 1988 Un théorème de factorisation et son application à la représentation des systèmes cycliques causaux. Zbl 0504.93016 Baratchart, Laurent 7 1982 Problems of Addamjan-Arov-Krein type on subsets of the circle and minimal norm extensions. Zbl 0967.30021 Baratchart, L.; Leblond, J.; Partington, J. R. 7 2000 Greedy algorithms and rational approximation in one and several variables. Zbl 1388.30063 Baratchart, Laurent; Mai, Wei-Xiong; Qian, Tao 7 2016 On the differential structure of matrix-valued rational inner functions. Zbl 0810.93015 Alpay, Daniel; Baratchart, Laurent; Gombani, Andrea 7 1994 On a rational approximation problem in the real Hardy space \(H_ 2\). Zbl 0760.41009 Baratchart, L.; Olivi, M.; Wielonsky, F. 7 1992 Optimization of positive generalized polynomials under \(l^p\) constraints. Zbl 0914.90237 Baratchart, L.; Berthod, M.; Pottier, L. 6 1998 On polynomial controllability with polynomial state for linear constant systems. Zbl 0579.93007 Ailon, A.; Baratchart, L.; Grimm, J.; Langholz, G. 6 1986 Asymptotic properties in rational \(\ell ^ 2\)-approximation. Zbl 0721.41024 Baratchart, L.; Olivi, M.; Wielonsky, F. 6 1990 On the recovery of core and crustal components of geomagnetic potential fields. Zbl 1375.86012 Baratchart, Laurent; Gerhards, Christian 6 2017 Hardy-Hodge decomposition of vector fields in \(\mathbb {R}^n\). Zbl 1385.42018 Baratchart, Laurent; Dang, Pei; Qian, Tao 6 2018 Padé approximants to certain elliptic-type functions. Zbl 1285.41006 Baratchart, Laurent; Yattselev, Maxim L. 6 2013 Inverse source problem in a 3D ball from best meromorphic approximation on 2D slices. Zbl 1122.35149 Baratchart, L.; Leblond, J.; Marmorat, J.-P. 5 2006 Critical points and error rank in best \(H_2\) matrix rational approximation of fixed McMillan degree. Zbl 0913.41009 Baratchart, L.; Olivi, M. 5 1998 Zero distributions via orthogonality. Zbl 1076.30010 Baratchart, Laurent; Küstner, Reinhold; Totik, Vilmos 5 2005 Analytic approximation of matrix functions in \(L^p\). Zbl 1178.47018 Baratchart, L.; Nazarov, F. L.; Peller, V. V. 5 2009 A remark on uniqueness of best rational approximants of degree 1 in \(L^2\) of the circle. Zbl 1131.30366 Baratchart, L. 4 2006 A Grobman-Hartman theorem for control systems. Zbl 1126.34029 Baratchart, Laurent; Chyba, Monique; Pomet, Jean-Baptiste 4 2007 Non-uniqueness of rational best approximants. Zbl 0967.30022 Baratchart, L.; Stahl, Herbert; Wielonsky, F. 4 1999 Silent and equivalent magnetic distributions on thin plates. Zbl 1424.78009 Baratchart, Laurent; Chevillard, Sylvain; Leblond, Juliette 4 2017 Open problems in constructive function theory. Zbl 1107.41011 Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, N.; Totik, V.; Varju, P.; Xu, Y. 3 2006 Meromorphic approximants to complex Cauchy transforms with polar singularities. Zbl 1218.41006 Baratchart, L.; Yattselev, M. L. 3 2009 Multipoint Padé approximants to complex Cauchy transforms with polar singularities. Zbl 1173.30021 Baratchart, Laurent; Yattselev, Maxim 3 2009 On the topological structure of inner functions and its use in identification of linear systems. Zbl 0791.93017 Baratchart, Laurent 3 1991 Minimax principle and lower bounds in \(H^2\)-rational approximation. Zbl 1361.30057 Baratchart, Laurent; Chevillard, Sylvain; Qian, Tao 3 2016 Boundary Nevanlinna-Pick interpolation with prescribed peak points. Application to impedance matching. Zbl 1375.30039 Baratchart, Laurent; Olivi, Martine; Seyfert, Fabien 3 2017 Asymptotics for minimal Blaschke products and best \(L_1\) meromorphic approximants of Markov functions. Zbl 1038.41005 Baratchart, Laurent; Prokhorov, Vasiliy A.; Saff, Edward B. 3 2001 Constrained extremal problems in \(H^2\) and Carleman’s formulae. Zbl 1409.30034 Baratchart, L.; Leblond, J.; Seyfert, F. 3 2018 Inverse potential problems for divergence of measures with total variation regularization. Zbl 1460.35077 Baratchart, L.; Villalobos Guillén, C.; Hardin, D. P.; Northington, M. C.; Saff, E. B. 3 2020 Sufficient stability conditions for time-varying networks of telegrapher’s equations or difference-delay equations. Zbl 1468.37054 Baratchart, L.; Fueyo, S.; Lebeau, G.; Pomet, J.-B. 3 2021 On finite-term recurrence relations for Bergman and Szegő polynomials. Zbl 1267.30011 Baratchart, Laurent; Saff, Edward B.; Stylianopoulos, Nikos S. 3 2012 On Blaschke products associated with \(n\)-widths. Zbl 1043.30018 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 2 2004 On the parametrization of linear constant systems. Zbl 0594.93018 Baratchart, L. 2 1985 Inner-unstable factorization of stable rational transfer functions. Zbl 0753.93030 Baratchart, L.; Olivi, M. 2 1991 Magnetic moment estimation and bounded extremal problems. Zbl 1410.35025 Baratchart, Laurent; Chevillard, Sylvain; Hardin, Douglas; Leblond, Juliette; Lima, Eduardo Andrade; Marmorat, Jean-Paul 2 2019 Solution of a homogeneous version of Love type integral equation in different asymptotic regimes. Zbl 1462.45001 Baratchart, Laurent; Leblond, Juliette; Ponomarev, Dmitry 2 2019 Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in \(L^2\) of the circle. Zbl 1204.41021 Baratchart, Laurent; Yattselev, Maxim 2 2010 Decomposition of \(L^2\)-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential. Zbl 1469.31008 Baratchart, L.; Gerhards, C.; Kegeles, A. 2 2021 Analyse non standard et representation du réel. Actes de l’école d’été, Oran-Les Andalouses, 8–12 September 1984. (Nonstandard analysis and representation of the reals). Zbl 0678.26010 1 1985 On Hankel operators associated with Markov functions. Zbl 0996.41014 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 1 2001 Sur la réalisation de Nerode des systèmes multi-indiciels (On the Nerode realization of n-D systems). Zbl 0589.93010 Baratchart, Laurent 1 1985 Topological versus smooth linearization of control systems. Zbl 1007.93012 Baratchart, Laurent; Chyba, Monique; Pomet, Jean-Baptiste 1 2002 Linearized active circuits: transfer functions and stability. Zbl 1497.94191 Baratchart, Laurent; Chevillard, Sylvain; Cooman, Adam; Olivi, Martine; Seyfert, Fabien 1 2022 Inverse potential problems in divergence form for measures in the plane. Zbl 1477.31029 Baratchart, Laurent; Guillén, Cristóbal Villalobos; Hardin, Douglas P. 1 2021 Linearized active circuits: transfer functions and stability. Zbl 1497.94191 Baratchart, Laurent; Chevillard, Sylvain; Cooman, Adam; Olivi, Martine; Seyfert, Fabien 1 2022 Sufficient stability conditions for time-varying networks of telegrapher’s equations or difference-delay equations. Zbl 1468.37054 Baratchart, L.; Fueyo, S.; Lebeau, G.; Pomet, J.-B. 3 2021 Decomposition of \(L^2\)-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential. Zbl 1469.31008 Baratchart, L.; Gerhards, C.; Kegeles, A. 2 2021 Inverse potential problems in divergence form for measures in the plane. Zbl 1477.31029 Baratchart, Laurent; Guillén, Cristóbal Villalobos; Hardin, Douglas P. 1 2021 Inverse potential problems for divergence of measures with total variation regularization. Zbl 1460.35077 Baratchart, L.; Villalobos Guillén, C.; Hardin, D. P.; Northington, M. C.; Saff, E. B. 3 2020 Magnetic moment estimation and bounded extremal problems. Zbl 1410.35025 Baratchart, Laurent; Chevillard, Sylvain; Hardin, Douglas; Leblond, Juliette; Lima, Eduardo Andrade; Marmorat, Jean-Paul 2 2019 Solution of a homogeneous version of Love type integral equation in different asymptotic regimes. Zbl 1462.45001 Baratchart, Laurent; Leblond, Juliette; Ponomarev, Dmitry 2 2019 Hardy-Hodge decomposition of vector fields in \(\mathbb {R}^n\). Zbl 1385.42018 Baratchart, Laurent; Dang, Pei; Qian, Tao 6 2018 Constrained extremal problems in \(H^2\) and Carleman’s formulae. Zbl 1409.30034 Baratchart, L.; Leblond, J.; Seyfert, F. 3 2018 On the recovery of core and crustal components of geomagnetic potential fields. Zbl 1375.86012 Baratchart, Laurent; Gerhards, Christian 6 2017 Silent and equivalent magnetic distributions on thin plates. Zbl 1424.78009 Baratchart, Laurent; Chevillard, Sylvain; Leblond, Juliette 4 2017 Boundary Nevanlinna-Pick interpolation with prescribed peak points. Application to impedance matching. Zbl 1375.30039 Baratchart, Laurent; Olivi, Martine; Seyfert, Fabien 3 2017 Uniqueness results for inverse Robin problems with bounded coefficient. Zbl 1439.35559 Baratchart, Laurent; Bourgeois, Laurent; Leblond, Juliette 12 2016 Pseudo-holomorphic functions at the critical exponent. Zbl 1353.30044 Baratchart, Laurent; Borichev, Alexander; Chaabi, Slah 8 2016 Greedy algorithms and rational approximation in one and several variables. Zbl 1388.30063 Baratchart, Laurent; Mai, Wei-Xiong; Qian, Tao 7 2016 Minimax principle and lower bounds in \(H^2\)-rational approximation. Zbl 1361.30057 Baratchart, Laurent; Chevillard, Sylvain; Qian, Tao 3 2016 Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation. Zbl 1293.30086 Baratchart, Laurent; Fischer, Yannick; Leblond, Juliette 11 2014 Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions. Zbl 1334.78017 Baratchart, L.; Hardin, D. P.; Lima, E. A.; Saff, E. B.; Weiss, B. P. 19 2013 Padé approximants to certain elliptic-type functions. Zbl 1285.41006 Baratchart, Laurent; Yattselev, Maxim L. 6 2013 Weighted extremal domains and best rational approximation. Zbl 1232.41014 Baratchart, Laurent; Stahl, Herbert; Yattselev, Maxim 17 2012 On finite-term recurrence relations for Bergman and Szegő polynomials. Zbl 1267.30011 Baratchart, Laurent; Saff, Edward B.; Stylianopoulos, Nikos S. 3 2012 Multipoint Schur algorithm and orthogonal rational functions. I: Convergence properties. Zbl 1248.30015 Baratchart, L.; Kupin, S.; Lunot, V.; Olivi, M. 8 2011 Hardy spaces of the conjugate Beltrami equation. Zbl 1196.42022 Baratchart, Laurent; Leblond, Juliette; Rigat, Stéphane; Russ, Emmanuel 20 2010 Bounded extremal and Cauchy-Laplace problems on the sphere and shell. Zbl 1193.31003 Atfeh, Bilal; Baratchart, Laurent; Leblond, Juliette; Partington, Jonathan R. 13 2010 Convergent interpolation to Cauchy integrals over analytic arcs with Jacobi-type weights. Zbl 1215.41005 Baratchart, Laurent; Yattselev, Maxim 13 2010 Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in \(L^2\) of the circle. Zbl 1204.41021 Baratchart, Laurent; Yattselev, Maxim 2 2010 Convergent interpolation to Cauchy integrals over analytic arcs. Zbl 1182.42026 Baratchart, Laurent; Yattselev, Maxim 10 2009 Analytic approximation of matrix functions in \(L^p\). Zbl 1178.47018 Baratchart, L.; Nazarov, F. L.; Peller, V. V. 5 2009 Meromorphic approximants to complex Cauchy transforms with polar singularities. Zbl 1218.41006 Baratchart, L.; Yattselev, M. L. 3 2009 Multipoint Padé approximants to complex Cauchy transforms with polar singularities. Zbl 1173.30021 Baratchart, Laurent; Yattselev, Maxim 3 2009 A Grobman-Hartman theorem for control systems. Zbl 1126.34029 Baratchart, Laurent; Chyba, Monique; Pomet, Jean-Baptiste 4 2007 2D inverse problems for the Laplacian: a meromorphic approximation approach. Zbl 1106.35129 Baratchart, L.; Mandréa, F.; Saff, E. B.; Wielonsky, F. 9 2006 Inverse source problem in a 3D ball from best meromorphic approximation on 2D slices. Zbl 1122.35149 Baratchart, L.; Leblond, J.; Marmorat, J.-P. 5 2006 A remark on uniqueness of best rational approximants of degree 1 in \(L^2\) of the circle. Zbl 1131.30366 Baratchart, L. 4 2006 Open problems in constructive function theory. Zbl 1107.41011 Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, N.; Totik, V.; Varju, P.; Xu, Y. 3 2006 Recovery of pointwise sources or small inclusions in 2D domains and rational approximation. Zbl 1086.35121 Baratchart, L.; Ben Abda, A.; Ben Hassen, F.; Leblond, J. 14 2005 Zero distributions via orthogonality. Zbl 1076.30010 Baratchart, Laurent; Küstner, Reinhold; Totik, Vilmos 5 2005 On Blaschke products associated with \(n\)-widths. Zbl 1043.30018 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 2 2004 Asymptotic estimates for interpolation and constrained approximation in \(H^2\) by diagonalization of Toeplitz operators. Zbl 1058.41008 Baratchart, Laurent; Grimm, José; Leblond, Juliette; Partington, Jonathan R. 9 2003 An \(L^{p}\) analog to AAK theory for \(p\geq 2\). Zbl 1050.47021 Baratchart, L.; Seyfert, F. 11 2002 Topological versus smooth linearization of control systems. Zbl 1007.93012 Baratchart, Laurent; Chyba, Monique; Pomet, Jean-Baptiste 1 2002 Asymptotic uniqueness of best rational approximants of given degree to Markov functions in \({\mathcal L}^2\) of the circle. Zbl 0983.30018 Baratchart, L.; Stahl, H.; Wielonsky, F. 10 2001 Asymptotic error for \(L^2\) best rational approximants to Markov functions. Zbl 0973.41007 Baratchart, L.; Stahl, H.; Wielonsky, F. 8 2001 Best meromorphic approximation of Markov functions on the unit circle. Zbl 1053.41019 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 8 2001 Asymptotics for minimal Blaschke products and best \(L_1\) meromorphic approximants of Markov functions. Zbl 1038.41005 Baratchart, Laurent; Prokhorov, Vasiliy A.; Saff, Edward B. 3 2001 On Hankel operators associated with Markov functions. Zbl 0996.41014 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 1 2001 Problems of Addamjan-Arov-Krein type on subsets of the circle and minimal norm extensions. Zbl 0967.30021 Baratchart, L.; Leblond, J.; Partington, J. R. 7 2000 How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian? Zbl 0921.35187 Baratchart, L.; Leblond, J.; Mandréa, F.; Saff, E. B. 12 1999 Rational and meromorphic approximation in \(\text{L}^p\) of the circle: System-theoretic motivations, critical points and error rates. Zbl 0935.41011 Baratchart, Laurent 11 1999 Non-uniqueness of rational best approximants. Zbl 0967.30022 Baratchart, L.; Stahl, Herbert; Wielonsky, F. 4 1999 Hardy approximation to \(L^p\) functions on subsets of the circle with \(1\leq p<\infty\). Zbl 0894.30023 Baratchart, L.; Leblond, J. 21 1998 Optimization of positive generalized polynomials under \(l^p\) constraints. Zbl 0914.90237 Baratchart, L.; Berthod, M.; Pottier, L. 6 1998 Critical points and error rank in best \(H_2\) matrix rational approximation of fixed McMillan degree. Zbl 0913.41009 Baratchart, L.; Olivi, M. 5 1998 Robust identification from band-limited data. Zbl 0889.93014 Baratchart, L.; Leblond, J.; Partington, J. R.; Torkhani, N. 9 1997 Hardy approximation to \(L^ \infty\) functions on subsets of the circle. Zbl 0853.30022 Baratchart, L.; Leblond, J.; Partington, J. R. 22 1996 A criterion for uniqueness of a critical point in \(H_ 2\) rational approximation. Zbl 0870.41013 Baratchart, L.; Saff, E. B.; Wielonsky, F. 9 1996 Rational interpolation of the exponential function. Zbl 0852.41013 Baratchart, L.; Saff, E. B.; Wielonsky, F. 10 1995 On the differential structure of matrix-valued rational inner functions. Zbl 0810.93015 Alpay, Daniel; Baratchart, Laurent; Gombani, Andrea 7 1994 Some extremal problems linked with identification from partial frequency data. Zbl 0792.93022 Alpay, Daniel; Baratchart, Laurent; Leblond, Juliette 14 1993 Rational approximation in the real Hardy space \(H_ 2\) and Stieltjes integrals: A uniqueness theorem. Zbl 0769.30024 Baratchart, L.; Wielonsky, F. 13 1993 On a rational approximation problem in the real Hardy space \(H_ 2\). Zbl 0760.41009 Baratchart, L.; Olivi, M.; Wielonsky, F. 7 1992 Identification and rational \(L^ 2\) approximation: A gradient algorithm. Zbl 0729.93079 Baratchart, Laurent; Cardelli, Michel; Olivi, Martine 32 1991 On the topological structure of inner functions and its use in identification of linear systems. Zbl 0791.93017 Baratchart, Laurent 3 1991 Inner-unstable factorization of stable rational transfer functions. Zbl 0753.93030 Baratchart, L.; Olivi, M. 2 1991 Asymptotic properties in rational \(\ell ^ 2\)-approximation. Zbl 0721.41024 Baratchart, L.; Olivi, M.; Wielonsky, F. 6 1990 Index of critical points in rational \(\ell\) 2-approximation. Zbl 0636.41009 Baratchart, Laurent; Olivi, Martine 7 1988 Existence and generic properties of \(L^ 2\) approximants for linear systems. Zbl 0637.93027 Baratchart, Laurent 16 1986 On polynomial controllability with polynomial state for linear constant systems. Zbl 0579.93007 Ailon, A.; Baratchart, L.; Grimm, J.; Langholz, G. 6 1986 On the parametrization of linear constant systems. Zbl 0594.93018 Baratchart, L. 2 1985 Analyse non standard et representation du réel. Actes de l’école d’été, Oran-Les Andalouses, 8–12 September 1984. (Nonstandard analysis and representation of the reals). Zbl 0678.26010 1 1985 Sur la réalisation de Nerode des systèmes multi-indiciels (On the Nerode realization of n-D systems). Zbl 0589.93010 Baratchart, Laurent 1 1985 Un théorème de factorisation et son application à la représentation des systèmes cycliques causaux. Zbl 0504.93016 Baratchart, Laurent 7 1982 all cited Publications top 5 cited Publications all top 5 Cited by 325 Authors 39 Baratchart, Laurent 27 Qian, Tao 26 Leblond, Juliette 14 Yattselev, Maxim L. 13 Wielonsky, Franck 10 Olivi, Martine 9 Partington, Jonathan R. 8 Gerhards, Christian 7 Buslaev, Viktor Ivanovich 7 Shavarovs’kij, B. Z. 5 Dang, Pei 5 Mai, Weixiong 5 Marmorat, Jean-Paul 5 Pozzi, Elodie 5 Saff, Edward Barry 5 Seyfert, Fabien 4 Feki, Imed 4 Tan, Lihui 3 Ailon, Amit 3 Akopyan, Roman Razmikovich 3 Alpay, Daniel Aron 3 Chaabi, Slah 3 Chen, Qiuhui 3 Chevillard, Sylvain 3 Delgado, Briceyda B. 3 Gombani, Andrea 3 Hardin, Douglas P. 3 Kegeles, Alexander 3 Klimentov, Sergeĭ Borisovich 3 Lubinsky, Doron S. 3 Prokhorov, Vasily A. 3 Qu, Wei 3 Rakhmanov, Evgenij Andreevich 3 Rigat, Stéphane 3 Russ, Emmanuel 3 Stahl, Herbert Robert 3 Suetin, Sergeĭ Pavlovich 3 Zarouf, Rachid 2 Andersson, Fredrik K. 2 Aptekarev, Alexander Ivanovich 2 Ben Belgacem, Faker 2 Berman, Nadav 2 Bomze, Immanuel M. 2 Carlsson, Marcus 2 Chaabane, Slim 2 Chalendar, Isabelle 2 Darbas, Marion 2 Deckers, Karl 2 Demidov, Alexandre Sergeevich 2 Derevyagin, Maxim S. 2 Eichinger, Benjamin 2 Fischer, Yannick 2 Guo, Guoan 2 Hanzon, Bernard 2 Krajewski, Wiesław 2 Lam, James 2 Lepschy, Antonio 2 Marcellán Español, Francisco 2 Mdimagh, Ridha 2 Mi, Wen 2 Michaletzky, Gyórgy 2 Nfata, Houda 2 Peeters, Ralf L. M. 2 Pérez Valero, María Francisca 2 Pomet, Jean-Baptiste 2 Porter, R. Michael 2 Quintana, Yamilet 2 Schachinger, Werner 2 Totik, Vilmos 2 Viaro, Umberto 2 Wegert, Elias 2 Wu, Hio Tong 2 Zhang, Liming 1 Abakumov, Evgeny V. 1 Aeyels, Dirk 1 Afraites, Lekbir 1 Agashe, Sadanand D. 1 Aishima, Kensuke 1 Akçay, Hüseyin 1 Álvarez, Diego 1 Alves, Carlos J. S. 1 Andrianova, Olga G. 1 Arogeti, Shai 1 Aseev, Sergei M. 1 Astolfi, Alessandro 1 Atfeh, Bilal 1 Aubert, Gilles 1 Avellaneda, Marco 1 Azaïez, Mejdi 1 Baisón, Antonio L. 1 Baranov, Anton D. 1 Barton, Ariel E. 1 Beckermann, Bernhard 1 Bejaoui, Eya 1 Ben Abda, Amel 1 Ben Hassen, Fahmi 1 Ben Saad, Imen 1 Bernstein, Dennis S. 1 Bessonov, Roman V. 1 Betcke, Timo ...and 225 more Authors all top 5 Cited in 109 Serials 24 Journal of Approximation Theory 9 Journal of Mathematical Analysis and Applications 9 Automatica 7 Inverse Problems 7 Sbornik: Mathematics 7 Computational Methods and Function Theory 6 Mathematical Notes 5 Applied Mathematics and Computation 5 Complex Variables and Elliptic Equations 5 Complex Analysis and Operator Theory 4 Journal of Computational and Applied Mathematics 4 Journal of Functional Analysis 4 Constructive Approximation 4 MCSS. Mathematics of Control, Signals, and Systems 4 Linear Algebra and its Applications 4 Applied and Computational Harmonic Analysis 4 Journal of Inverse and Ill-Posed Problems 4 Foundations of Computational Mathematics 4 Science China. Mathematics 3 Journal d’Analyse Mathématique 3 Czechoslovak Mathematical Journal 3 Integral Equations and Operator Theory 3 Systems & Control Letters 3 Acta Applicandae Mathematicae 3 Automation and Remote Control 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Proceedings of the Steklov Institute of Mathematics 2 Analysis Mathematica 2 International Journal of Control 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Circuits, Systems, and Signal Processing 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 The Journal of Fourier Analysis and Applications 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 European Journal of Control 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Inverse Problems and Imaging 2 Journal of Applied Analysis and Computation 2 Journal of Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Time Series Analysis 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Global Optimization 1 Numerical Algorithms 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Applied Mathematical Modelling 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 International Journal of Computer Vision 1 Advances in Applied Clifford Algebras 1 Filomat 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of the European Mathematical Society (JEMS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Dynamical and Control Systems 1 SIAM Journal on Applied Dynamical Systems 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Frontiers of Mathematics in China 1 SIAM Journal on Imaging Sciences 1 GEM - International Journal on Geomathematics 1 Journal of Spectral Theory ...and 9 more Serials all top 5 Cited in 41 Fields 105 Functions of a complex variable (30-XX) 72 Approximations and expansions (41-XX) 47 Partial differential equations (35-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 42 Systems theory; control (93-XX) 34 Numerical analysis (65-XX) 21 Operator theory (47-XX) 20 Functional analysis (46-XX) 18 Potential theory (31-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Special functions (33-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Information and communication theory, circuits (94-XX) 8 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 6 Optics, electromagnetic theory (78-XX) 5 Real functions (26-XX) 5 Probability theory and stochastic processes (60-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Mechanics of deformable solids (74-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year