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Baratchart, Laurent

Author ID: baratchart.laurent Recent zbMATH articles by "Baratchart, Laurent"
Published as: Baratchart, Laurent; Baratchart, L.
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

Publications by Year

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 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