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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, 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
  • 4L. 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.
  • 5L. 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
  • 6L. Baratchart, M. Yattselev.

    Padé approximants to certain elliptic-type functions, in: Jour. d'Analyse, 2013, vol. 121, no 1, pp. 31–86.
  • 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
  • 10P. K. Suetin.

    Polynomials orthogonal over a region and Bieberbach polynomials, AMS, 1974, Translation of the Proceedings of the Steklov Institute of Mathematics, number 100.
Publications of the year

Articles in International Peer-Reviewed Journals

  • 11L. Baratchart, S. Chevillard, T. Qian.

    Minimax principle and lower bounds in H2-rational approximation, in: Journal of Approximation Theory, 2015, In Press. This is the corrected proof as pubished online by the journal. [ DOI : 10.1016/j.jat.2015.03.004 ]

    https://hal.inria.fr/hal-00922815
  • 12J. Leblond, E. Pozzi, E. Russ.

    Composition Operators on Generalized Hardy Spaces, in: Complex Analysis and Operator Theory, December 2015. [ DOI : 10.1007/s11785-015-0464-9 ]

    https://hal.archives-ouvertes.fr/hal-01242032
  • 13F. Seyfert, M. Oldoni, M. Olivi, S. Lefteriu, D. Pacaud.

    Deembedding of filters in multiplexers via rational approximation and interpolation, in: International Journal of RF and Microwave Computer-Aided Engineering, 2015, 7 p.

    https://hal.inria.fr/hal-01165529

International Conferences with Proceedings

  • 14L. Baratchart, M. Caenepeel, Y. Rolain.

    Harmonic-like Identification of Nonlinear Systems around an Equilibrium, in: International Instrumentation and Measurement Technology Conference (I2MTC), Pisa, Italy, May 2015, Sub-version of an article by the same authors in Proceedings of I2MTC 2015. [ DOI : 10.1109/I2MTC.2015.7151338 ]

    https://hal.inria.fr/hal-01245928
  • 15M. Caenepeel, F. Seyfert, Y. Rolain, M. Olivi.

    Microwave Filter Design based on Coupling Topologies with Multiple Solutions, in: IMS (International Microwave Symposium), Phoenix, United States, May 2015.

    https://hal.inria.fr/hal-01165533
  • 16M. Caenepeel, F. Seyfert, Y. Rolain, M. Olivi.

    Parametric Modeling of the Coupling Parameters of Planar Coupled-Resonator Microwave Filters, in: Microwave Conference (EuMC 2015), Paris, France, September 2015, 4 p. [ DOI : 10.1109/EuMC.2015.7345819 ]

    https://hal.inria.fr/hal-01197117

Conferences without Proceedings

  • 17J. Leblond, J.-P. Marmorat, C. Papageorgakis.

    Inverse skull conductivity estimation problems from EEG data, in: 1st International Conference on Mathematical Neuroscience (ICMNS), Juan-les-Pins, France, June 2015.

    https://hal.archives-ouvertes.fr/hal-01243059
  • 18C. Papageorgakis, S. Hitziger, T. Papadopoulo.

    Dictionary learning for M/EEG multidimensional data, in: International conference on basic and clinical multimodal imaging (BACI), Utrecht, Netherlands, September 2015.

    https://hal.archives-ouvertes.fr/hal-01243284
  • 19C. Papageorgakis, B. Lanfer, M. Clerc.

    Influence of skull modelling on conductivity estimation for EEG source analysis, in: International conference on basic and clinical multimodal imaging (BACI), Utrecht, Netherlands, September 2015.

    https://hal.inria.fr/hal-01244392

Internal Reports

  • 20L. Baratchart, L. Bourgeois, J. Leblond.

    Uniqueness results for 2D inverse Robin problems with bounded coefficient, Inria Sophia Antipolis ; Inria Saclay ; Inria, January 2015, no RR-8665, Travail relié à la pré-publication du même titre, hal-01084428, November 2014.On présente ici les résultats dans un cadre plus simple et avec des preuves différentes.

    https://hal.inria.fr/hal-01104629

Other Publications

  • 21L. Baratchart, M. Olivi, F. Seyfert.

    Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching, December 2015, working paper or preprint.

    https://hal.inria.fr/hal-01249330
  • 22J. Leblond, D. Ponomarev.

    Recovery of harmonic functions in planar domains from partial boundary data, with prescribed internal values, December 2015, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01242160
References in notes
  • 23N. I. Achieser.

    Elements of the Theory of Elliptic Functions, AMS, 1990.
  • 24D. 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.
  • 25J. A. Ball, I. Gohberg, L. Rodman.

    Interpolation of rational matrix functions, Birkhäuser, 1990.
  • 26L. Baratchart.

    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.
  • 27L. 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.
  • 28L. Baratchart, A. Borichev, S. Chaabi.

    Pseudo-holomorphic functions at the critical exponent, 2015, To appear, Journal of the European Mathematical Society.

    http://hal.inria.fr/hal-00824224
  • 29L. Baratchart, M. Cardelli, M. Olivi.

    Identification and rational L2 approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, pp. 413–418.
  • 30L. Baratchart, M. Chyba, J.-B. Pomet.

    A Grobman-Hartman theorem for control systems, in: J. Dyn. Differential Eqs., 2007, vol. 19, pp. 75-107.
  • 31L. 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
  • 32L. 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.
  • 33L. 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 ]

    http://hal.inria.fr/hal-00919261
  • 34L. Baratchart, R. Kuestner, V. Totik.

    Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, pp. 1455–1499.
  • 35L. 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
  • 36L. Baratchart, J. Leblond.

    Hardy approximation to Lp functions on subsets of the circle with 1p<, in: Constructive Approximation, 1998, vol. 14, pp. 41–56.
  • 37L. 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
  • 38L. 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.
  • 39L. 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.
  • 40L. 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
  • 41L. 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.
  • 42L. Baratchart, M. Olivi.

    Index of critical points in l2-approximation, in: System and Control Letters, 1988, vol. 10, pp. 167–174.
  • 43L. 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.
  • 44L. 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.
  • 45L. Baratchart, F. Seyfert.

    An Lp analog to AAK theory for p2, in: Journal of Functional Analysis, 2002, vol. 191, no 1, pp. 52–122.
  • 46L. 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.
  • 47L. Baratchart, M. Yattselev.

    Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, pp. 675–715.
  • 48L. Baratchart, M. Yattselev.

    Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, no 9, pp. 3-40.
  • 49L. 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.
  • 50L. 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
  • 51A. 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
  • 52R. 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
  • 53R. 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
  • 54S. 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
  • 55S. 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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  • 69H. Orchard, G. Temes.

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  • 73F. 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.

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