Team, Visitors, External Collaborators
Overall Objectives
Research Program
Application Domains
New Software and Platforms
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Dissemination
Bibliography
XML PDF e-pub
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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, A. Borichev, S. Chaabi.
    Pseudo-holomorphic functions at the critical exponent, in: Journal of European Math. Soc., 2016, vol. 18, no 9, pp. 1919–1960.
  • 4L. 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.
  • 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, pp. 384-427.
    http://dx.doi.org/10.1016/j.jfa.2010.04.004
  • 6L. Baratchart, M. Olivi, F. Seyfert.
    Boundary nevanlinna-pick interpolation with prescribed peak points. Application to impedance matching, in: SIAM Journal on Mathematical Analysis, 2017. [ DOI : 10.1137/16M1085577 ]
    https://hal.inria.fr/hal-01377782
  • 7L. 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
  • 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
  • 9A. Cooman, F. Seyfert, M. Olivi, S. Chevillard, L. Baratchart.
    Model-Free Closed-Loop Stability Analysis: A Linear Functional Approach, in: IEEE Transactions on Microwave Theory and Techniques, 2017, https://arxiv.org/abs/1610.03235.
    https://hal.inria.fr/hal-01381731
  • 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.
    http://dx.doi.org/10.1109/TMTT.2007.912234
  • 11M. 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

Articles in International Peer-Reviewed Journals

  • 12L. Baratchart, S. Chevillard, D. P. Hardin, J. Leblond, E. A. Lima, J.-P. Marmorat.
    Magnetic moment estimation and bounded extremal problems, in: Inverse Problems and Imaging , February 2019, vol. 13, no 1, 29 p.
    https://hal.inria.fr/hal-01623991
  • 13L. Baratchart, J. Leblond, F. Seyfert.
    Constrained extremal problems in H2 and Carleman's formulas, in: Matematicheskii Sbornik, 2018, vol. 209, no 7, 36 p.
    https://hal.archives-ouvertes.fr/hal-01625840
  • 14S. Chevillard, J. Leblond, K. Mavreas.
    Dipole recovery from sparse measurements of its field on a cylindrical geometry, in: International Journal of Applied Electromagnetics and Mechanics, 2018, 7 p.
    https://hal.inria.fr/hal-01618885

Invited Conferences

  • 15D. Martínez Martínez, G. Bose, F. Seyfert, M. Olivi.
    Convex optimisation method for matching filters synthesis, in: 2nd URSI AT-RASC (Atlantic Radio Science), Gran Canaria, Spain, May 2018.
    https://hal.inria.fr/hal-01909586

International Conferences with Proceedings

  • 16A. Cooman, F. Seyfert, S. Amari.
    Estimating unstable poles in simulations of microwave circuits, in: IMS 2018, Philadelphia, United States, June 2018.
    https://hal.inria.fr/hal-01958795

Conferences without Proceedings

  • 17G. Bose, D. Martínez Martínez, F. Seyfert, M. Olivi.
    A Convex Approach to the Finite Dimensional Matching Problem in Communication Systems, in: The 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, July 2018.
    https://hal.inria.fr/hal-01936784
  • 18D. Martínez Martínez, G. Bose, F. Seyfert, M. Olivi.
    Convex Optimisation Method for Matching Filters Synthesis, in: IWMF 2018 - 7th International Workshop on Microwave Filters, Noordwijk, Netherlands, ESA and CNES, April 2018.
    https://hal-unilim.archives-ouvertes.fr/hal-01778631

Other Publications

  • 19L. Baratchart, S. Chevillard, A. Cooman, M. Olivi, F. Seyfert.
    Linearized Active Circuits: Transfer Functions and Stability, December 2018, working paper or preprint.
    https://hal.inria.fr/hal-01960139
  • 20L. Baratchart, S. Chevillard, J. Leblond, E. A. Lima, D. Ponomarev.
    Asymptotic method for estimating magnetic moments from field measurements on a planar grid, 2018, working paper or preprint.
    https://hal.inria.fr/hal-01421157
  • 21L. Baratchart, C. Villalobos Guillén, D. P. Hardin, M. C. Northington, E. B. Saff.
    Inverse Potential Problems for Divergence of Measures with Total Variation Regularization, September 2018, working paper or preprint.
    https://hal.inria.fr/hal-01880506
  • 22D. Martínez Martínez, G. Bose, F. Seyfert, M. Olivi, L. Baratchart, S. Bila, F. Ferrero.
    A convex optimisation approach to Youla's broadband matching theory, September 2018, 27th ERNSI Workshop in System Identiifcation, Poster.
    https://hal.inria.fr/hal-01909618
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, in: Journal of the European Mathematical Society, 2016, vol. 18, no 9. [ DOI : 10.4171/JEMS ]
    https://hal.inria.fr/hal-00824224
  • 29L. 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
  • 30L. Baratchart, M. Cardelli, M. Olivi.
    Identification and rational L2 approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, pp. 413–418.
  • 31L. Baratchart, M. Chyba, J.-B. Pomet.
    A Grobman-Hartman theorem for control systems, in: J. Dyn. Differential Eqs., 2007, vol. 19, pp. 75-107.
  • 32L. 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
  • 33L. Baratchart, C. Gerhards.
    On the Recovery of Core and Crustal Components of Geomagnetic Potential Fields, in: Siam Journal on Applied Mathematics, 2017, vol. 77, no 5, pp. 1756–1780.
  • 34L. 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.
  • 35L. Baratchart, D. P. 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
  • 36L. Baratchart, R. Kuestner, V. Totik.
    Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, pp. 1455–1499.
  • 37L. 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
  • 38L. Baratchart, J. Leblond.
    Hardy approximation to Lp functions on subsets of the circle with 1p<, in: Constructive Approximation, 1998, vol. 14, pp. 41–56.
  • 39L. 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
  • 40L. 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.
  • 41L. 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.
  • 42L. 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.
  • 43L. Baratchart, M. Olivi.
    Index of critical points in l2-approximation, in: System and Control Letters, 1988, vol. 10, pp. 167–174.
  • 44L. 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.
  • 45L. 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.
  • 46L. Baratchart, F. Seyfert.
    An Lp analog to AAK theory for p2, in: Journal of Functional Analysis, 2002, vol. 191, no 1, pp. 52–122.
  • 47L. 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.
  • 48L. Baratchart, M. Yattselev.
    Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, pp. 675–715.
  • 49L. Baratchart, M. Yattselev.
    Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, no 9, pp. 3-40.
  • 50L. 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.
  • 51L. 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
  • 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, no 11–12, pp. 2213–2223.
    http://dx.doi.org/10.1016/j.mcm.2008.07.016
  • 53R. 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
  • 54R. 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
  • 55S. 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
  • 56S. Chaabi.
    Analyse complexe et problèmes de Dirichlet dans le plan : équation de Weinstein et autres conductivités non bornées, Mathématiques et Informatique de Marseille, 2013.
  • 57R. Coifman, R. Rochberg, G. Weiss.
    Factorization theorems for Hardy spaces in several variables, in: Ann. Math., 1976, vol. 103, pp. 611–635.
  • 58Y. Fischer.
    Approximation dans 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, pp. 527–556.
  • 60P. 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.
  • 61J. B. Garnett.
    Bounded analytic functions, Academic Press, 1981.
  • 62T. Georgiou.
    A topological approach to Nevanlinna-Pick interpolation, in: SIAM J. Math. Anal., 1987, vol. 18, no 5, pp. 1248–1260.
  • 63B. 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.
    http://dx.doi.org/10.1016/j.laa.2006.09.029
  • 64J. Helton, D. Marshall.
    Frequency domain analysis and analytic selections, in: Indiana Univ. Math. J., 1990, vol. 39, no 1, pp. 157–184.
  • 65T. Iwaniec, G. Martin.
    Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001.
  • 66N. Landkhof.
    Foundations of modern potential theory, Springer-Verlag, 1972.
  • 67M. Lavrentiev.
    Some Improperly Posed Problems of Mathematical Physics, Springer, 1967.
  • 68J.-P. Marmorat, M. Olivi.
    Nudelman Interpolation, Parametrization of Lossless Functions and balanced realizations, in: Automatica, 2007, vol. 43, pp. 1329–1338.
    http://dx.doi.org/10.1016/j.automatica.2007.01.020
  • 69H. Orchard, G. Temes.
    Filter Design Using Transformed Variables, in: IEEE Transactions on Circuit Theory, dec 1968, vol. 15, no 4, pp. 385–408.
    http://dx.doi.org/10.1109/TCT.1968.1082870
  • 70C. Papageorgakis.
    Patient specific conductivity models: characterization of the skull bones, Université Côte d’Azur, December 2017.
    https://hal.inria.fr/tel-01662075
  • 71V. Peller.
    Hankel Operators and their Applications, Springer, 2003.
  • 72D. Ponomarev.
    Some inverse problems with partial data, Inria Sophia Antipolis - Méditerranée, June 2016.
    https://hal.archives-ouvertes.fr/tel-01400595
  • 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.
    http://hal.inria.fr/hal-00663504
  • 76S. Smirnov.
    Decomposition of solenoidal vector charges into elementary solenoids and the structure of normal one-dimensional currents, in: Algebra i Analiz, 1993, vol. 4, pp. 206-238, Transl. St Petersburg Math. Journal, n. 4, pp. 841–867, 1994.
  • 77E. M. Stein.
    Harmonic Analysis, Princeton University Press, 1993.
  • 78A. Suàrez, R. Quéré.
    Stability analysis of nonlinear microwave circuits, Artech House, 2003.
  • 79T. 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.