Major publications by the team in recent years
  • 1S. Amari, F. Seyfert, M. Bekheit.

    Theory of Coupled Resonator Microwave Bandpass Filters of Arbitrary Bandwidth, in: Microwave Theory and Techniques, IEEE Transactions on, August 2010, vol. 58, no 8, pp. 2188 -2203.
  • 2B. Atfeh, L. Baratchart, J. Leblond, J. R. Partington.

    Bounded extremal and Cauchy-Laplace problems on the sphere and shell, in: J. Fourier Anal. Appl., 2010, vol. 16, no 2, pp. 177–203, Published online Nov. 2009.

  • 3L. Baratchart, J. Leblond, J.-P. Marmorat.

    Sources identification in 3D balls using meromorphic approximation in 2D disks, in: Electronic Transactions on Numerical Analysis (ETNA), 2006, vol. 25, pp. 41–53.
  • 4L. Baratchart, J. Leblond, S. Rigat, E. Russ.

    Hardy spaces of the conjugate Beltrami equation, in: Journal of Functional Analysis, 2010, vol. 259, no 2, pp. 384-427.

    http://dx.doi.org/10.1016/j.jfa.2010.04.004, http://hal.inria.fr/hal-00401712
  • 5L. Baratchart, F. Mandréa, E. B. Saff, F. Wielonsky.

    2D inverse problems for the Laplacian: a meromorphic approximation approach, in: Journal de Math. Pures et Appliquées, 2008, vol. 86, pp. 1-41.
  • 6L. Baratchart, H. Stahl, M. Yattselev.

    Weighted Extremal Domains and Best Rational Approximation, in: Advances in Mathematics, 2012, vol. 229, pp. 357-407.

  • 7R. Cameron, J.-C. Faugère, F. Rouillier, F. Seyfert.

    Exhaustive approach to the coupling matrix synthesis problem and application to the design of high degree asymmetric filters, in: International Journal of RF and Microwave Computer-Aided Engineering, 2007, vol. 17, no 1, pp. 4–12.

  • 8M. Clerc, J. Leblond, J.-P. Marmorat, T. Papadopoulo.

    Source localization using rational approximation on plane sections, in: Inverse Problems, May 2012, vol. 28, no 5, 24 p.

    http://hal.inria.fr/inria-00613644, http://hal.inria.fr/hal-00699541
  • 9B. Hanzon, M. Olivi, R. L. Peeters.

    Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm, in: Linear Algebra and its Applications, 2006, vol. 418, pp. 793-820.

  • 10V. Lunot, F. Seyfert, S. Bila, A. Nasser.

    Certified Computation of Optimal Multiband Filtering Functions, in: IEEE Transactions on Microwave Theory and Techniques, 2008, vol. 56, no 1, pp. 105-112.

  • 11J.-P. Marmorat, M. Olivi.

    Nudelman Interpolation, Parametrization of Lossless Functions and balanced realizations, in: Automatica, 2007, vol. 43, pp. 1329–1338.

Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 12S. Chaabi.

    Analyse complexe et problèmes de Dirichlet dans le plan : équation de Weinstein et autres conductivités non-bornées, Aix-Marseille Université, December 2013.


Articles in International Peer-Reviewed Journals

  • 13L. Baratchart, Y. Fischer, J. Leblond.

    Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation, in: Complex Variables and Elliptic Equations, 2014, 41 p. [ DOI : 10.1080/17476933.2012.755755 ]

  • 14L. Baratchart, D. Hardin, E. A. Lima, E. B. Saff, B. Weiss.

    Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions, in: Inverse Problems, 2013, vol. 29, no 1. [ DOI : 10.1088/0266-5611/29/1/015004 ]

  • 15L. Baratchart, M. Yattselev.

    Padé approximants to certain elliptic-type functions, in: Journal d'Analyse Mathématique, 2013, vol. 121, no 1, pp. 31-86, arXiv admin note: substantial text overlap with arXiv:1103.3556. [ DOI : 10.1007/s11854-013-0027-9 ]

  • 16H. Ezzeddine, K. Frigui, S. Bila, S. Verdeyme, F. Seyfert, J. Puech, L. Estagerie, D. Pacaud.

    Design and implementation of compact diplexers using dual-mode cavities, in: International Journal of RF and Microwave Computer Aided Engineering, 2014, A paraitre. [ DOI : 10.1002/mmce.20760 ]

  • 17J. Leblond, J. R. Partington, E. Pozzi.

    Best approximation in Hardy spaces and by polynomials, with norm constraints, in: Integral Equations and Operator Theory, August 2013, vol. 75, no 4, pp. 491-516.

  • 18E. A. Lima, B. Weiss, L. Baratchart, D. Hardin, E. B. Saff.

    Fast inversion of magnetic field maps of unidirectional planar geological magnetization, in: Journal of Geophysical Research, June 2013, vol. 118, no 6, pp. 2723-2752. [ DOI : 10.1002/jgrb.50229 ]

  • 19M. Olivi, F. Seyfert, J.-P. Marmorat.

    Identification of microwave filters by analytic and rational H2 approximation, in: Automatica, January 2013, vol. 49, no 2, pp. 317-325. [ DOI : 10.1016/j.automatica.2012.10.005 ]

  • 20D. Pelinovsky, D. Ponomarev.

    Justification of a nonlinear Schrödinger model for laser beams in photopolymers, in: Zeitschrift für Angewandte Mathematik und Physik, May 2013. [ DOI : 10.1007/s00033-013-0338-9 ]


International Conferences with Proceedings

  • 21L. Baratchart.

    Rational and meromorphic approximation to functions with branchpoints: n-th root asymptotics and Hankel singular values, in: Recent trends in analysis: conference in honor of N. Nikolskii, Bordeaux, France, A. Borichev, K. Davidson, S. Kupin, G. Pisier, F. Vasilescu, V. Vasyunin (editors), Theta series in advanced Mathematics, Theta Foundation, 2013, vol. 16, pp. 47-72.

  • 22S. Chevillard, M. Mezzarobba.

    Multiple precision evaluation of the Airy Ai function with reduced cancellation, in: 21st IEEE Symposium on Computer Arithmetic, Austin, TX, United States, A. Nannarelli, P.-M. Seidel, P. T. P. Tang (editors), 2013, pp. 175-182. [ DOI : 10.1109/ARITH.2013.33 ]

  • 23H. Ezzeddine, S. Bila, S. Verdeyme, F. Seyfert, D. Pacaud, J. Puech, L. Estagerie.

    Design of compact and innovative microwave filters and multiplexers for space applications, in: IEEE Mediterranean Microwave Symposium (MMS 2013), Saïda, Lebanon, 2013. [ DOI : 10.1109/MMS.2013.6663112 ]

  • 24S. Lefteriu, M. Oldoni, M. Olivi, F. Seyfert.

    De-embedding multiplexers by Schur reduction, in: CDC - Conférence on Decision and Control, Florence, Italy, December 2013.

  • 25R. L. Peeters, M. Olivi, B. Hanzon.

    Continuous-time lossless systems, boundary interpolation and pivot structures, in: SSSC- 5th Symposium on System Structure and Control - 2013, Grenoble, France, February 2013.


Internal Reports

  • 26L. Baratchart, J. Leblond, D. Ponomarev.

    Constrained optimization in classes of analytic functions with prescribed pointwise values, Inria, January 2014, no RR-8459.

  • 27A. Rousseau, A. Darnaud, B. Goglin, C. Acharian, C. Leininger, C. Godin, C. Holik, C. Kirchner, D. Rives, E. Darquie, E. Kerrien, F. Neyret, F. Masseglia, F. Dufour, G. Berry, G. Dowek, H. Robak, H. Xypas, I. Illina, I. Gnaedig, J. Jongwane, J. Ehrel, L. Viennot, L. Guion, L. Calderan, L. Kovacic, M. Collin, M.-A. Enard, M.-H. Comte, M. Quinson, M. Olivi, M. Giraud, M. Dorémus, M. Ogouchi, M. Droin, N. Lacaux, N. Rougier, N. Roussel, P. Guitton, P. Peterlongo, R.-M. Cornus, S. Vandermeersch, S. Maheo, S. Lefebvre, S. Boldo, T. Viéville, V. Poirel, A. Chabreuil, A. Fischer, C. Farge, C. Vadel, I. Astic, J.-P. Dumont, L. Féjoz, P. Rambert, P. Paradinas, S. De Quatrebarbes, S. Laurent.

    Médiation Scientifique : une facette de nos métiers de la recherche, March 2013, 34 p.


Other Publications

  • 28L. Baratchart, A. Borichev, S. Chaabi.

    Pseudo-holomorphic functions at the critical exponent, September 2013.

  • 29L. Baratchart, S. Chevillard, T. Qian.

    Minimax principle and lower bounds in H⌃2-rational approximation, December 2013, Submitted to the special issue of Journal of Approximation Theory / Matematicheskii Sbornik, to the memory of A. A. Gonchar and H. Stahl.

  • 30L. Baratchart, M. Olivi, F. Seyfert.

    Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching, December 2013, Submitted to MTNS 2014.

  • 31S. Chaabi, S. Rigat.

    Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane, 2014.

  • 32S. Elliott, J. Leblond, E. Pozzi, E. Russ.

    Composition operators on generalized Hardy spaces, 2013.

  • 33J. Leblond.

    Identifiability properties for inverse problems in medical engineering with observability and optimization issues, 2013, Submitted for publication. Proceedings of the Workshop on Control and Observation of Nonlinear Control Systems with Application to Medicine (CONCSAM, Hawaii, 2013).

References in notes
  • 34N. I. Achieser.

    Elements of the Theory of Elliptic Functions, AMS, 1990.
  • 35D. Alpay, L. Baratchart, A. Gombani.

    On the Differential Structure of Matrix-Valued Rational Inner Functions, in: Operator Theory : Advances and Applications, 1994, vol. 73, pp. 30–66.
  • 36J. A. Ball, I. Gohberg, L. Rodman.

    Interpolation of rational matrix functions, Birkhäuser, 1990.
  • 37L. Baratchart.

    On the H2 Rational Approximation of Markov Matrix-Valued Functions, in: Proc. 17th Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japon, 2006, pp. 180–182.
  • 38L. Baratchart, M. Cardelli, M. Olivi.

    Identification and rational L2 approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, pp. 413–418.
  • 39L. Baratchart, L. Golinskii, S. Kupin.

    Orthogonal rational functions and nonstationary stochastic processes: a Szegő theory, in: Proc. 19th Symposium on Mathematical Theory of Networks and Systems, Budapest, 2010.
  • 40L. Baratchart, R. Kuestner, V. Totik.

    Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, pp. 1455–1499.
  • 41L. Baratchart, S. Kupin, V. Lunot, M. Olivi.

    Multipoint Schur algorithm and orthogonal rational functions: convergence properties, I, in: Journal d'Analyse, 2011, vol. 112, pp. 207-255.

  • 42L. Baratchart, J. Leblond.

    Silent electrical sources in domains of 3, In preparation.
  • 43L. Baratchart, J. Leblond.

    Hardy approximation to Lp functions on subsets of the circle with 1p<, in: Constructive Approximation, 1998, vol. 14, pp. 41–56.
  • 44L. Baratchart, J. Leblond, F. Mandréa, E. B. Saff.

    How can meromorphic approximation help to solve some 2D inverse problems for the Laplacian?, in: Inverse Problems, 1999, vol. 15, no 1, pp. 79–90.

  • 45L. Baratchart, J. Leblond, J. R. Partington.

    Hardy approximation to L functions on subsets of the circle, in: Constructive Approximation, 1996, vol. 12, pp. 423–435.
  • 46L. Baratchart, J. Leblond, D. Ponomarev.

    Constrained optimization in classes of analytic functions with prescribed pointwise values, In preparation.
  • 47L. Baratchart, J. Leblond, F. Seyfert.

    Extremal problems of mixed type in H2 of the circle, Inria, 2009, no RR-7087.

  • 48L. Baratchart, M. Olivi.

    Index of critical points in l2-approximation, in: System and Control Letters, 1988, vol. 10, pp. 167–174.
  • 49L. Baratchart, M. Olivi.

    Critical points and error rank in best H2 matrix rational approximation of fixed McMillan degree, in: Constructive Approximation, 1998, vol. 14, pp. 273–300.
  • 50L. Baratchart, E. B. Saff, F. Wielonsky.

    A criterion for uniqueness of a critical point in H2 rational approximation, in: Journal d'Analyse, 1996, vol. 70, pp. 225–266.
  • 51L. Baratchart, F. Seyfert.

    An Lp analog to AAK theory for p2, in: Journal of Functional Analysis, 2002, vol. 191, no 1, pp. 52–122.
  • 52L. Baratchart, H. Stahl, F. Wielonsky.

    Asymptotic uniqueness of best rational approximants of given degree to Markov functions in L2 of the circle, in: Constr. Approx., 2001, vol. 17, no 1, pp. 103–138.
  • 53L. Baratchart, M. Yattselev.

    Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, pp. 675–715.
  • 54L. Baratchart, M. Yattselev.

    Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in L2 of the circle, in: Recent trends in orthogonal polynomials and approximation theory, Providence, RI, Contemp. Math., Amer. Math. Soc., 2010, vol. 507, pp. 87–111.
  • 55L. Baratchart, M. Yattselev.

    Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights, in: International Mathematics Research Notices, 2010, vol. 2010, no 22, pp. 4211–4275.

  • 56A. Ben Abda, F. Ben Hassen, J. Leblond, M. Mahjoub.

    Sources recovery from boundary data: a model related to electroencephalography, in: Mathematical and Computer Modelling, 2009, vol. 49, no 11–12, pp. 2213–2223.

  • 57S. Bila, D. Baillargeat, M. Aubourg, S. Verdeyme, P. Guillon, F. Seyfert, J. Grimm, L. Baratchart, C. Zanchi, J. Sombrin.

    Direct Electromagnetic Optimization of Microwave Filters, in: IEEE Microwave Magazine, 2001, vol. 1, pp. 46–51.
  • 58J. Blum.

    Numerical simulation and optimal control in plasma physics, with applications to Tokamaks, Wiley/Gauthier-Villars, 1989.
  • 59R. Cameron, A. Harish, C. Radcliffe.

    Synthesis of advanced microwave filters without diagonal cross-couplings, in: IEEE Transactions on Microwave Theory and Techniques, dec 2002, vol. 50, no 12, pp. 2862–2872.

  • 60S. Chaabane, I. Fellah, M. Jaoua, J. Leblond.

    Logarithmic stability estimates for a Robin coefficient in 2D Laplace inverse problems, in: Inverse Problems, 2004, vol. 20, no 1, pp. 49–57.

  • 61Y. Fischer.

    Approximation des des classes de fonctions analytiques généralisées et résolution de problèmes inverses pour les tokamaks, Univ. Nice Sophia Antipolis, 2011.

  • 62A. Friedman, M. Vogelius.

    Determining cracks by boundary measurements, in: Indiana Univ. Math. J., 1989, vol. 38, no 3, pp. 527–556.
  • 63P. Fulcheri, M. Olivi.

    Matrix rational H2-approximation: a gradient algorithm based on Schur analysis, in: SIAM J. on Control & Optim., 1998, vol. 36, pp. 2103–2127.
  • 64J. B. Garnett.

    Bounded analytic functions, Academic Press, 1981.
  • 65T. Georgiou.

    A topological approach to Nevanlinna-Pick interpolation, in: SIAM J. Math. Anal., 1987, vol. 18, no 5, pp. 1248–1260.
  • 66J. Helton, D. Marshall.

    Frequency domain analysis and analytic selections, in: Indiana Univ. Math. J., 1990, vol. 39, no 1, pp. 157–184.
  • 67T. Iwaniec, G. Martin.

    Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001.
  • 68N. Landkhof.

    Foundations of modern potential theory, Springer-Verlag, 1972.
  • 69M. Lavrentiev.

    Some Improperly Posed Problems of Mathematical Physics, Springer, 1967.
  • 70H. Orchard, G. Temes.

    Filter Design Using Transformed Variables, in: IEEE Transactions on Circuit Theory, dec 1968, vol. 15, no 4, pp. 385–408.

  • 71V. Peller.

    Hankel Operators and their Applications, Springer, 2003.
  • 72E. B. Saff, V. Totik.

    Logarithmic potentials with external fields, Grundlehren der mathematischen Wissenshaften, Springer, 1997, vol. 316.
  • 73A. Schneck.

    Constrained Hardy space approximation, in: J. Approx. Theory, 2010, vol. 8, pp. 1466–1483.
  • 74I. Schur.

    Über Potenzreihen die im innern des einheitskreises beschränkt sind, in: J. Reine Angew. Math., 1917, vol. 147, pp. 205–232.
  • 75F. Seyfert, L. Baratchart, J.-P. Marmorat, S. Bila, J. Sombrin.

    Extraction of coupling parameters for microwave filters: determinati on of a stable rational model from scattering data, in: 2003 IEEE MTT-S International Microwave Symposium Digest, Philadelphie, États-Unis, IEEE, 2003, vol. 1, pp. 25–28.

  • 76F. Seyfert, M. Oldoni, G. Macchiarella, D. Pacaud.

    De-embedding response of filters from diplexer measurements, in: International Journal of RF and Microwave Computer-Aided Engineering, August 2012, vol. 23, no 2, pp. 188–199.

  • 77E. M. Stein.

    Harmonic Analysis, Princeton University Press, 1993.
  • 78T. Wolff.

    Counterexamples with harmonic gradients in 𝐑3, in: Essays on Fourier analysis in honor of Elias M. Stein, Math. Ser., Princeton Univ. Press, 1995, vol. 42, pp. 321–384.