On the parametrization of linear constant systems,
SIAM J. cont. and opt., vol. 23, n. 5, 1984.
Existence and Generic Properties of $L^2$
Approximants for Linear Systems,
I.M.A. Journal of Math. Control and
Information, Vol. 3, pp 89-101, 1986.
On Polynomial Controllability with Polynomial State for Linear Constant
Systems, (with A. Ailon, J. Grimm, and G. Langholz)
Technical Note in I.E.E.E. trans. on Automatic Control, vol. 31,
n. 2, 1986.
Index of critical points in L2-approximation, L. Baratchart and M. Olivi
System and Control Letters, vol. 10, pp. 167-174, 1988
Identification and rational L2 approximation: a gradient algorithm, L. Baratchart, M. Cardelli and M. Olivi
Automatica, Pergamon Press, vol. 27 no. 2, 413-418 (1991)
Rational Approximation in H$^2$ and Stieltjes integrals : a uniqueness theorem, (with F. Wielonsky)
Constructive Approximation, vol. 9, pp 1-21, 1993.
On a rational approximation problem in the real Hardy space H2, L. Baratchart, M. Olivi and Franck Wielonsky
Theoretical Computer Science, Elsevier, vol. 94, pp. 175-197, 1992
On the recovery of functions from pointwise boundary values in a
Hardy-Sobolev class of the disk, (with M. Zerner)
Journal of Computational and Applied Mathematics,
vol. 46, pp 255-269, 1993.
On the differential structure of matrix-valued inner functions,\item{[10]} (with D. Alpay and A. Gombani)
Operator Theory: Advances and Applications, vol. 73, pp 30-68, 1994.
Rational interpolation of the exponential function, L. Baratchart , E. B. Saff and F. Wielonsky
Canadian Jour. of Math, vol. 47, pp 1121-1147, 1995.
« Hardy approximation to Loo functions on subsets of the circle », L. BARATCHART, J. LEBLOND, J.R. PARTINGTON
Constructive Approximation, vol. 12, pp. 423-436, 1996.
« A Criterion for Uniqueness of a Critical Point in $H_2$ Rational Approximation », L. Baratchart , E. B. Saff and F. Wielonsky
Journal d'Analyse Math\'ematique, vol. 70, 1996.
« Robust identification in the disc algebra from band-limited data », L. BARATCHART, J. LEBLOND, J.R. PARTINGTON, N. TORKHANI
IEEE Trans. on Automatic Control, vol. 42 (9), 1997 (rapport de recherche INRIA no. 2488, 1995).
« Hardy approximation to Lp functions on subsets of the circle with 1 =< p < oo », L. BARATCHART, J. LEBLOND
Constructive Approximation, vol. 14, pp. 41-56, 1998.
« Critical points and error rank in matrix H2 rational approximation and the strong differential consistency of output error identification from white noise inputs », L. Baratchart, M. Olivi
Constructive Approximation 14, pp. 273-300 (1998)
« Optimization of Positive Generalized Polynomials under $l^p$ Constraints », L.Baratchart, M.Berthod , L.Pottier
Journal of Convex Analysis, vol. 5, n. 2, pp 353-379, 1998.
« How can meromorphic approximation help to solve some 2D inverse problems for the Laplacian? », L. BARATCHART, J. LEBLOND, F. MANDREA, E.B. SAFF
Inverse Problems, vol. 15, pp. 79-90, 1999.
« Problems of Adamjan-Arov-Krein type on subsets of the circle and minimal norm extensions », L. BARATCHART, J. LEBLOND, J.R. PARTINGTON
Constructive Approximation , vol. 16, pp. 333-357, 2000.
« Asymptotic error estimates for $L^2$ best rational approximants to Markov
functions, Journal of Approximation Theory », L.Baratchart, H. Stahl, F. Wielonsky
Journal of Approximation Theory, vol. 108, pp 53-96, 2001.
« Asymptotic uniqueness of best rational aproximants of given degree to Markov functions in ${\cal L}^2$ of the circle », L.Baratchart, H. Stahl, F. Wielonsky
Constructive Approximation, vol. 17, pp 103-138, 2001.
Best meromorphic approximation of Markov functions on the unit circle, with V. Prokhorov and E.B. Saff
Foundations of Computational Mathematics,vol. 1, n.4, pp. 385-416, 2001.
"Asymptotics for minimal Blaschke products and best $L1$ meromorphic approximation to Markov functions", L.Baratchart, V. Prokhorov, E.B. Saff
Computational Methods and Function Theory, vol.1 (2), 501--520, 2001.
An $L^p$ analog to AAK Theory for $p\geq2$, with F. Seyfert
Journal of Functional Analysis, vol. 191, pp 52-122, 2002.
« Recovery of pointwise sources or small inclusions in 2D domains and rational approximation », L. BARATCHART, A. BEN ABDA, F. BEN HASSEN, J. LEBLOND,
Inverse problems, 21, 51-74, 2005.
Zero distribution via orthogonality, with R. Küstner and V. Totik
Annales de l'Institut Fourier, vol. 55(5), 1455-1499, 2005.
A remark on uniqueness of best rational approximants of degree 1 in $L^2$ of the circle,
Elec. Trans.on Numerical Anal., vol. 25, pp 54-66, 2006.
« Inverse sources problem in a 3D ball from best meromorphic approximation on 2D slices », L. BARATCHART, J. LEBLOND, J.-P. MARMORAT
Electronic Trans. Numerical Anal., 25, 41-53, 2006.
« A Grobman-Hartman Theorem for Control Systems » L. Baratchart , M. Chyba, J.-B. Pomet
Journal of Dynamics and Differential Equations (2006) [inria-00000920 − version 1]
Meromorphic and Multipoint Padé Approximants for Complex Cauchy Transforms with Polar Singularities
(2006) [inria-00119160 − version 1]
Meromorphic approximants for complex Cauchy transforms with polar singularities, with M. Yattselev
{to appear} in Mat. Sb.
« Convergent Interpolation to Cauchy Integrals over Analytic Arcs », L. Baratchart ,M. Yattselev
{to appear} in Found. Comp. Math.
Analytic approximation of matrix functions in $L^p$, with V. Peller and F. Nazarov
{accepted for publication} J. Approx. Theory.
« On local linearization of control systems », L. Baratchart , J.-B. Pomet
Journal of Dynamical and Control Systems (2009) [inria-00087024 − version 3]
« Bounded extremal and Cauchy--Laplace problems on the sphere and shell », B. ATFEH, L. BARATCHART, J. LEBLOND, J.R. PARTINGTON,
Rapport de recherche INRIA no. 6504, 2008, submitted for publication.
« Convergent Interpolation to Cauchy Integrals over Analytic
Arcs of Jacobi-Type Weights
», L. BARATCHART, M. YATTSELEV,
Int Math Res Notices (2010) Vol. 22, pp. 4211-4275.
« Weighted Extremal Domains and Best Rational Approximation », L. BARATCHART, H. STAHL, M. YATTSELEV,
Advances in Maths. vol. 229 (1)no.1, pp. 357-407, 2012.
« Characterizing Kernels of Operators related to thin-plate Magnetizations via generalizations of Hodge decompositions », L. BARATCHART, D. HARDIN, E. A. LIMA, E.B. SAFF, B.P. WEISS,
Inverse Problems vol. 29 (1), 2013.
« Pseudo-holomorphic functions at the critical exponent », L. BARATCHART, A. BORICHEV, S. CHAABI,
Jour. of the European Math. Soc. vol. 18 (9), 2016.
« Boundary Nevanlinna-Pick interpolation with prescribed peak points. Application to impedance matching. »,
L. BARATCHART, M. OLIVI, F. SEYFERT,
SIAM Jour. of Math. Analysis (SIMA), 49(2), 2017..
« Constrained extremal problems in H2 and Carleman's formulas. »,
L. BARATCHART, J. LEBLOND, F. SEYFERT,
Mat. Sbornik, 209(7), 2017.
« On the recovery of core and crustal components of Geomagnetic potential fields. »,
L. BARATCHART, C. GERHARDS,
SIAM Jour. on Applied Maths, 77(5), 2017.
« Magnetic moment estimation and bounded extremal problems. »,
L. BARATCHART, S. CHEVILLARD, D.P. HARDIN, J. LEBLOND, E. ANDRADE-LIMA and J.P. MARMORAT,
Inverse Problems and Imaging 13(1), 2019.
« Inverse Potential Problems for Divergence of Measures with Total Variation Regularization. »,
L. BARATCHART, C. VILLALOBOS-GUILLEN, D.P. HARDIN, M.C.NORTHINGTON AND E.B. SAFF,
Found. Comp. Math., 2020.
« Sufficient Stability Conditions for Time-varying Networks of Telegrapher Equations or Difference-Delay Equations. »,
L. BARATCHART, S. FUEYO, G. LEBEAU, J.B. POMET,
SIAM Journal on Mathematical Analysis, 53(2), 2021.
« Decomposition of L2-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential. »,
L. BARATCHART, C. GERHARDS, A. KEGELES,
SIAM Jour. on Math. Analysis 53(4), 2021.
« Inverse Potential Problems inDivergence Form for
Measures in the Plane. »,
L. BARATCHART, C. VILLALOBOS-GUILLEN, D.P. HARDIN,
ESAIM-COCV 27, 2021.
« Unique reconstruction of simple magnetizations from their magnetic potential. »,
L. BARATCHART, C. GERHARDS, A. KEGELES, P. MENZEL,
Inverse Problems 37, 2021.