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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, p. 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, p. 177–203, Published online Nov. 2009.

    http://dx.doi.org/10.1007/s00041-009-9110-0
  • 3L. Baratchart, S. Kupin, V. Lunot, M. Olivi.

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

    http://arxiv.org/abs/0812.2050v3
  • 4L. 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, p. 41–53.
  • 5L. Baratchart, J. Leblond, S. Rigat, E. Russ.

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

    http://dx.doi.org/10.1016/j.jfa.2010.04.004, http://hal.inria.fr/hal-00401712
  • 6L. 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, p. 1-41.
  • 7L. Baratchart, M. Yattselev.

    Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, p. 675–715.
  • 8R. 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, p. 4–12. [ DOI : 10.1002/mmce.20190 ]

    http://hal.inria.fr/hal-00663777
  • 9Y. Fischer, B. Marteau, Y. Privat.

    Some inverse problems around the tokamak Tore Supra, in: Communications on Pure and Applied Analysis, 2012, vol. 11, no 6, p. 2327-2349. [ DOI : 10.3934/cpaa.2012.11.2327 ]

    http://hal.inria.fr/hal-00537648
  • 10B. Hanzon, M. Olivi, R. Peeters.

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

    http://dx.doi.org/10.1016/j.laa.2006.09.029
  • 11V. 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, p. 105-112.

    http://dx.doi.org/10.1109/TMTT.2007.912234
  • 12J.-P. Marmorat, M. Olivi.

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

    http://dx.doi.org/10.1016/j.automatica.2007.01.020
Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 13A.-M. Nicu.

    Approximation et représentation des fonctions sur la sphère. Applications à la géodésie et à l'imagerie médicale., Université de Nice Sophia-Antipolis, ED STIC, February 2012.

    http://hal.inria.fr/tel-00671453

Articles in International Peer-Reviewed Journals

  • 14L. Baratchart, H. Stahl, M. Yattselev.

    Weighted Extremal Domains and Best Rational Approximation, in: Advances in Mathematics, 2012, vol. 229, p. 357-407, 44 pages, 5 figures. [ DOI : 10.1016/j.aim.2011.09.005 ]

    http://hal.inria.fr/hal-00665834
  • 15S. Chevillard.

    The functions erf and erfc computed with arbitrary precision and explicit error bounds, in: Information and Computation, 2012, vol. 216, p. 72 – 95, (the version available on the HAL server is slightly different from the published version because it contains full proofs).

    http://hal.inria.fr/ensl-00356709
  • 16M. 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, This article corresponds to Inria Research Report N° RR-7704 available at http://hal.inria.fr/inria-00613644 . [ DOI : 10.1088/0266-5611/28/5/055018 ]

    http://hal.inria.fr/hal-00699541
  • 17Y. Fischer, B. Marteau, Y. Privat.

    Some inverse problems around the tokamak Tore Supra, in: Communications on Pure and Applied Analysis, 2012, vol. 11, no 6, p. 2327-2349. [ DOI : 10.3934/cpaa.2012.11.2327 ]

    http://hal.inria.fr/hal-00537648
  • 18M. Olivi, F. Seyfert, J.-P. Marmorat.

    Identification of microwave filters by analytic and rational H2 approximation, in: Automatica, 2012. [ DOI : 10.1016/j.automatica.2012.10.005 ]

    http://hal.inria.fr/hal-00753824
  • 19E. Pozzi.

    Universality of weighted composition operators on L 2 ([0,1]) and Sobolev spaces, in: Acta Scientiarum Mathematicarum (Szeged), 2012, vol. 78, p. 609-642.
  • 20F. Seyfert, M. Martinez-Mendoza, C. Ernst, A. Alvarez-Melcon.

    Formal Expression of Sensitivity and Energy Relationship in the Context of the Coupling Matrix, in: IEEE Transactions on Microwave Theory and Techniques, November 2012, vol. 60, no 11, p. 3369 - 3375.

    http://hal.inria.fr/hal-00763652
  • 21F. 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, D. (2012). [ DOI : 10.1002/mmce.20664 ]

    http://hal.inria.fr/hal-00763665

International Conferences with Proceedings

  • 22M. Oldoni, G. Macchiarella, F. Seyfert, S. Amari.

    Synthesis of Microwave Filters with "Reactive"nodes, in: European Microwave Week 2012, Amsterdam, Pays-Bas, October 2012, EuMC24-5.

    http://hal.inria.fr/hal-00763722
  • 23C. Sexton, M. Olivi, B. Hanzon.

    Rational Approximation of Transfer Functions for Non-Negative EPT Densities, in: 16th IFAC Symposium on System Identification, Bruxelles, Belgique, July 2012.

    http://hal.inria.fr/hal-00763205

Conferences without Proceedings

  • 24H. Ezzeddine, S. Bila, S. Verdeyme, F. Seyfert, D. Pacaud, L. Estagerie, J. Puech, P. Mazet.

    Design of a compact dual-band diplexer with dual mode cavities, in: European Microwave Week (EuMW), Amsterdam, Netherlands, October 2012, EuMC 24-2.

    http://hal.inria.fr/hal-00735858

Internal Reports

  • 25J. Leblond, J. R. Partington, E. Pozzi.

    Best approximation in Hardy spaces and by polynomials, with norm constraints, Inria, October 2012, no RR-8098, Submitted for publication.

    http://hal.inria.fr/hal-00746554

Other Publications

  • 26M. Clerc, J. Leblond, J.-P. Marmorat, T. Papadopoulo.

    Identification de sources en électro-encéphalographie, 2012, Poster, Colloque Ingénierie et STIC pour la Santé, Paris, France.

    http://www-sop.inria.fr/members/Juliette.Leblond/posters.html
  • 27Y. Fischer, J. Leblond, D. Ponomarev.

    Equilibrium plasma shape recovery from magnetic measurements in tokamaks, Oct. 2012, Poster, 2nd PhD Event in Fusion Science and Engineering, Pont-à-Mousson, France.
  • 28D. Ponomarev.

    Constrained optimization with prescribed values on the disk, 2012, Internship Report.
  • 29J. Zhou.

    A Hardy-Hodge Decomposition on the 2D Sphere, Ecole des Mines de Nancy, 2012.
References in notes
  • 30N. I. Achieser.

    Elements of the Theory of Elliptic Functions, AMS, 1990.
  • 31D. Alpay, L. Baratchart, A. Gombani.

    On the Differential Structure of Matrix-Valued Rational Inner Functions, in: Operator Theory : Advances and Applications, 1994, vol. 73, p. 30-66.
  • 32J. A. Ball, I. Gohberg, L. Rodman.

    Interpolation of rational matrix functions, Birkhäuser, 1990.
  • 33L. Baratchart.

    On the H 2 Rational Approximation of Markov Matrix-Valued Functions, in: Proc. 17th Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japon, 2006, p. 180-182.
  • 34L. Baratchart, M. Cardelli, M. Olivi.

    Identification and rational L 2 approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, p. 413-418.
  • 35L. Baratchart, Y. Fischer, J. Leblond.

    Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation, To appear in Complex Variable & Elliptic Equations.

    http://arxiv.org/abs/1111.6776
  • 36L. 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.
  • 37L. Baratchart, D. P. Hardin, E. A. Lima, E. B. Saff, B. P. Weiss.

    Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions, in: Inverse Problems, 2013, vol. 29, no 1, Available online on the site of the journal. To appear in 2013.

    http://dx.doi.org/10.1088/0266-5611/29/1/015004
  • 38L. Baratchart, R. Kuestner, V. Totik.

    Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, p. 1455-1499.
  • 39L. Baratchart, J. Leblond.

    Silent electrical sources in domains of 3 , In preparation.
  • 40L. Baratchart, J. Leblond.

    Hardy approximation to L p functions on subsets of the circle with 1p<, in: Constructive Approximation, 1998, vol. 14, p. 41-56.
  • 41L. 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, p. 79–90.
  • 42L. Baratchart, J. Leblond, J. R. Partington.

    Hardy approximation to L functions on subsets of the circle, in: Constructive Approximation, 1996, vol. 12, p. 423-435.
  • 43L. Baratchart, J. Leblond, F. Seyfert.

    Extremal problems of mixed type in H 2 of the circle, Inria, 2009, no RR-7087.

    http://fr.arxiv.org/abs/0911.1441
  • 44L. Baratchart, M. Olivi.

    Index of critical points in l 2 -approximation, in: System and Control Letters, 1988, vol. 10, p. 167–174.
  • 45L. Baratchart, M. Olivi.

    Critical points and error rank in best H 2 matrix rational approximation of fixed McMillan degree, in: Constructive Approximation, 1998, vol. 14, p. 273-300.
  • 46L. Baratchart, E. B. Saff, F. Wielonsky.

    A criterion for uniqueness of a critical point in H 2 rational approximation, in: Journal d'Analyse, 1996, vol. 70, p. 225-266.
  • 47L. Baratchart, F. Seyfert.

    An L p analog to AAK theory for p2, in: Journal of Functional Analysis, 2002, vol. 191, no 1, p. 52–122.
  • 48L. Baratchart, H. Stahl, F. Wielonsky.

    Asymptotic uniqueness of best rational approximants of given degree to Markov functions in L 2 of the circle, in: Constr. Approx., 2001, vol. 17, no 1, p. 103–138.
  • 49L. Baratchart, M. Yattselev.

    Padé approximants to certain elliptic-type functions, Accepted for publication in "Journal d'Analyse".

    http://arxiv.org/abs/1205.4480
  • 50L. Baratchart, M. Yattselev.

    Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in L 2 of the circle, in: Recent trends in orthogonal polynomials and approximation theory, Providence, RI, Contemp. Math., Amer. Math. Soc., Providence, RI, 2010, vol. 507, p. 87–111.
  • 51L. Baratchart, M. Yattselev.

    Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights, in: International Mathematics Research Notices, 2010, 65 p.

    http://hal.inria.fr/hal-00508314
  • 52A. 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, p. 2213-2223. [ DOI : doi:10.1016/j.mcm.2008.07.016 ]

    http://dx.doi.org/10.1016/j.mcm.2008.07.016
  • 53S. 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, p. 46-51.
  • 54J. Blum.

    Numerical simulation and optimal control in plasma physics, with applications to Tokamaks, Wiley/Gauthier-Villars, 1989.
  • 55R. Cameron, A. Harish, C. Radcliffe.

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

    http://dx.doi.org/10.1109/TMTT.2002.805141
  • 56S. 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, p. 49–57.
  • 57S. Chevillard, M. Mezzarobba.

    Multiple precision evaluation of the Airy Ai function with reduced cancellation, 2013, accepted for publication in the Proceedings of ARITH 21.
  • 58Y. Fischer.

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

    http://tel.archives-ouvertes.fr/tel-00643239/
  • 59A. Friedman, M. Vogelius.

    Determining cracks by boundary measurements, in: Indiana Univ. Math. J., 1989, vol. 38, no 3, p. 527-556.
  • 60P. Fulcheri, M. Olivi.

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  • 61J. B. Garnett.

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  • 62T. Georgiou.

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  • 63A. A. Gonchar, E. A. Rakhmanov.

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  • 64J. Helton, D. Marshall.

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  • 65T. Iwaniec, G. Martin.

    Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001.
  • 66M. Jaoua, J. Leblond, M. Mahjoub, J. R. Partington.

    Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains, in: IMA J. of Applied Mathematics, 2009, vol. 74, p. 481-506.

    http://dx.doi.org/10.1093/imamat/hxn041
  • 67A. Karoui, J. Leblond, A.-M. Nicu.

    Slepian functions on the sphere with applications to signal recovery and inverse source problems, In preparation.
  • 68N. Landkhof.

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  • 69M. Lavrentiev.

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  • 70H. Orchard, G. Temes.

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  • 71D. Pelinovsky, D. Ponomarev.

    Justification of a nonlinear Schrodinger model for laser beams in photopolymers, Submitted for publication.
  • 72V. V. Peller.

    Hankel Operators and their Applications, Springer, 2003.
  • 73D. Ponomarev.

    Global justification analysis for linear parabolic approximation in a reduced photopolymer model, In preparation.
  • 74E. B. Saff, V. Totik.

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  • 75A. Schneck.

    Constrained Hardy space approximation, in: J. Approx. Theory, 2010, vol. 8.
  • 76I. Schur.

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  • 77F. 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: Microwave Symposium Digest, 2003 IEEE MTT-S International, Philadelphie, États-Unis, IEEE, 2003, vol. 1, p. 25-28. [ DOI : 10.1109/MWSYM.2003.1210875 ]

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  • 78E. M. Stein.

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