Members
Overall Objectives
Research Program
Application Domains
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Dissemination
Bibliography
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Bibliography

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.
    http://dx.doi.org/10.1007/s00041-009-9110-0
  • 3L. Baratchart, S. Chevillard, T. Qian.
    Minimax principle and lower bounds in H2-rational approximation, in: Journal of Approximation Theory, 2015, vol. 206, pp. 17–47.
  • 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
  • 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.
    http://hal.inria.fr/hal-00665834
  • 7M. 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
  • 8V. 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.
    http://dx.doi.org/10.1109/TMTT.2007.912234
  • 9M. 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 ]
    http://hal.inria.fr/hal-00753824
Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

  • 12L. Baratchart, A. Borichev, S. Chaabi.
    Pseudo-holomorphic functions at the critical exponent, in: Journal of the European Mathematical Society, 2016, vol. 18, no 9. [ DOI : 10.4171/JEMS ]
    https://hal.inria.fr/hal-00824224
  • 13L. Baratchart, L. Bourgeois, J. Leblond.
    Uniqueness results for inverse Robin problems with bounded coefficient, in: Journal of Functional Analysis, 2016. [ DOI : 10.1016/j.jfa.2016.01.011 ]
    https://hal.inria.fr/hal-01084428
  • 14M. Clerc, J. Leblond, J.-P. Marmorat, C. Papageorgakis.
    Uniqueness result for an inverse conductivity recovery problem with application to EEG, in: Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics, 2016, vol. 48, Special issue dedicated to Giovanni Alessandrini.
    https://hal.archives-ouvertes.fr/hal-01303640
  • 15J. Leblond, D. Ponomarev.
    Recovery of harmonic functions in planar domains from partial boundary data respecting internal values, in: Journal of Inverse and Ill-posed Problems, 2016. [ DOI : 10.1515/jiip-2015-0089 ]
    https://hal.archives-ouvertes.fr/hal-01242160
  • 16S. Lefteriu, M. Olivi, F. Seyfert, M. Oldoni.
    System identification of microwave filters from multiplexers by rational interpolation, in: Automatica, August 2016.
    https://hal.inria.fr/hal-01357934

International Conferences with Proceedings

  • 17L. Baratchart, M. Olivi, F. Seyfert.
    A unified approach to Nevanlinna-Pick interpolation problems, in: 22nd International Symposium on Mathematical Theory of Networks and Systems, Mineapolis, United States, July 2016.
    https://hal.archives-ouvertes.fr/hal-01420880

Conferences without Proceedings

  • 18M. Clerc, J. Leblond, J.-P. Marmorat, C. Papageorgakis.
    On some inverse conductivity recovery problem in a sphere: Uniqueness and reconstruction results with applications to EEG, in: Problèmes Inverses, Contrôle et Optimisation de Formes (PICOF), Autrans, France, June 2016.
    https://hal.inria.fr/hal-01410030
  • 19J. Leblond, L. Baratchart, S. Chevillard, D. Ponomarev.
    Magnetic moments recovery from partial field measurements, in: PICOF (Problèmes Inverses, Contrôle, Optimisation de Formes), Autrans, France, June 2016.
    https://hal.archives-ouvertes.fr/hal-01413094
  • 20D. Martínez Martínez, F. Seyfert, M. Olivi, J. Sence, S. Bila, F. Torres, T. Monédière, B. Jarry, A. Perigaud, B. Frigui, R. Chantalat.
    Optimized synthesis of a microwave equalizer for matching a high performance small antenna, in: 2016 IEEE International Conference on Antenna Measurements & Applications, Syracuse, United States, October 2016.
    https://hal.archives-ouvertes.fr/hal-01420641

Other Publications

  • 21L. Baratchart, S. Chevillard, J. Leblond.
    Silent and equivalent magnetic distributions on thin plates, September 2016, Accepted for publication in Theta Series in Advanced Mathematics.
    https://hal.inria.fr/hal-01286117
  • 22L. Baratchart, S. Chevillard, J. Leblond, E. A. Lima, D. Ponomarev.
    Moments estimation of magnetic source terms from partial data, 2016, working paper or preprint.
    https://hal.inria.fr/hal-01421157
  • 23L. Baratchart, M. Olivi, F. Seyfert.
    Boundary nevanlinna-pick interpolation with prescribed peak points. Application to impedance matching, October 2016, Submitted for publication to SIMA (SIAM journal on Mathematical Analysis) July 2016.
    https://hal.inria.fr/hal-01377782
  • 24M. Caenepeel, F. Seyfert, M. Olivi, Y. Rolain.
    Electromagnetic Optimization of Microwave Filters using Adjoint Sensitivities, December 2016, submitted to Transactions on Microwave Theory and Techniques.
    https://hal.inria.fr/hal-01419500
  • 25A. Cooman, F. Seyfert, M. Olivi, S. Chevillard, L. Baratchart.
    Model-Free Closed-Loop Stability Analysis: A Linear Functional Approach, October 2016, Preprint of the version submitted to IEEE Transactions on Microwave Theory and Techniques.
    https://hal.inria.fr/hal-01381731
  • 26D. Martínez Martínez, F. Seyfert, M. Olivi, S. Bila, F. Torres, J. Sence.
    Synthesis Method for Matching Filters, December 2016, working paper or preprint.
    https://hal.archives-ouvertes.fr/hal-01420636
References in notes
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    A remark on uniqueness of best rational approximants of degree 1 in L2 of the circle, in: Elec. Trans.on Numerical Anal., 2006, vol. 25, pp. 54–66.
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    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.
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    Identification and rational L2 approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, pp. 413–418.
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    A Grobman-Hartman theorem for control systems, in: J. Dyn. Differential Eqs., 2007, vol. 19, pp. 75-107.
  • 34L. 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 ]
    https://hal.archives-ouvertes.fr/hal-00909577
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    Orthogonal rational functions and nonstationary stochastic processes: a Szegő theory, in: Proc. 19th Symposium on Mathematical Theory of Networks and Systems, Budapest, 2010.
  • 36L. 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 ]
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    Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, pp. 1455–1499.
  • 38L. 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.
    http://arxiv.org/abs/0812.2050v3
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    Hardy approximation to Lp functions on subsets of the circle with 1p<, in: Constructive Approximation, 1998, vol. 14, pp. 41–56.
  • 40L. 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.
    http://dx.doi.org/10.1088/0266-5611/15/1/012
  • 41L. 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.
  • 42L. 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.
  • 43L. Baratchart, J. Leblond, F. Seyfert.
    Extremal problems of mixed type in H2 of the circle, Inria, 2009, no RR-7087.
    http://fr.arxiv.org/abs/0911.1441
  • 44L. 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.
  • 45L. Baratchart, M. Olivi.
    Index of critical points in l2-approximation, in: System and Control Letters, 1988, vol. 10, pp. 167–174.
  • 46L. 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.
  • 47L. 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.
  • 48L. Baratchart, F. Seyfert.
    An Lp analog to AAK theory for p2, in: Journal of Functional Analysis, 2002, vol. 191, no 1, pp. 52–122.
  • 49L. 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.
  • 50L. Baratchart, M. Yattselev.
    Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, pp. 675–715.
  • 51L. Baratchart, M. Yattselev.
    Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, no 9, pp. 3-40.
  • 52L. 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.
  • 53L. 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.
    http://hal.inria.fr/hal-00508314
  • 54A. 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.
    http://dx.doi.org/10.1016/j.mcm.2008.07.016
  • 55R. 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.
    http://hal.inria.fr/hal-00663777
  • 56R. 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.
    http://dx.doi.org/10.1109/TMTT.2002.805141
  • 57S. 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.
    http://dx.doi.org/10.1088/0266-5611/20/1/003
  • 58S. Chaabi.
    Analyse complexe et problèmes de Dirichlet dans le plan : équation de Weinstein et autres conductivités non bornées, Mathématiques et Informatique de Marseille, 2013.
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    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.
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