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.

  • 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.

  • 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 ]

  • 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 ]

  • 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.

  • 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.

  • 12J.-P. Marmorat, M. Olivi.

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

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.


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 ]

  • 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).

  • 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 ]

  • 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 ]

  • 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 ]

  • 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.

  • 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 ]


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.

  • 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.


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.


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.


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.

  • 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.
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  • 35L. Baratchart, Y. Fischer, J. Leblond.

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

  • 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.
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    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.

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  • 43L. Baratchart, J. Leblond, F. Seyfert.

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

  • 44L. Baratchart, M. Olivi.

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  • 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".

  • 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.

  • 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 ]

  • 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.
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    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.

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

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  • 67A. Karoui, J. Leblond, A.-M. Nicu.

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