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, n^o 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, n^o 2, pp. 177–203, Published online Nov. 2009.
  http://dx.doi.org/10.1007/s00041-009-9110-0
• 3L. 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.
• 4L. Baratchart, J. Leblond, S. Rigat, E. Russ.
  Hardy spaces of the conjugate Beltrami equation, in: Journal of Functional Analysis, 2010, vol. 259, n^o 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
• 7L. Baratchart, M. Yattselev.
  Padé approximants to certain elliptic-type functions, in: Jour. d'Analyse, 2013, vol. 121, n^o 1, pp. 31–86.
• 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, n^o 1, pp. 4–12.
  http://hal.inria.fr/hal-00663777
• 9M. Clerc, J. Leblond, J.-P. Marmorat, T. Papadopoulo.
  Source localization using rational approximation on plane sections, in: Inverse Problems, May 2012, vol. 28, n^o 5, 24 p.
  http://hal.inria.fr/inria-00613644
• 10B. 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
• 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, n^o 1, pp. 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, pp. 1329–1338.
  http://dx.doi.org/10.1016/j.automatica.2007.01.020
• 13M. Olivi, F. Seyfert, J.-P. Marmorat.
  Identification of microwave filters by analytic and rational H2 approximation, in: Automatica, January 2013, vol. 49, n^o 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

• 14L. 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
• 15H. Ezzeddine, K. Frigui, S. Bila, S. Verdeyme, F. Seyfert, J. Puech, L. Estagerie, D. Pacaud.
  Design and implementation of compact diplexers using dual-mode cavities, in: International Journal of RF and Microwave Computer Aided Engineering, 2014, forthcoming. [ DOI : 10.1002/mmce.20760 ]
  https://hal-unilim.archives-ouvertes.fr/hal-00924828
• 16J. Leblond.
  Identifiability Properties for Inverse Problems in EEG Data Processing and Medical Engineering with Observability and Optimization Issues, in: Acta Applicandae Mathematicae, 2014, 16 p, Proceedings of the Workshop on Control and Observation of Nonlinear Control Systems with Application to Medicine (CONCSAM, Hawaii, 2013). [ DOI : 10.1007/s10440-014-9951-7 ]
  https://hal.archives-ouvertes.fr/hal-00875006
• 17D. Pacaud, F. Seyfert, H. Ezzeddine, S. Verdeyme, S. Bila, J. Puech, L. Estagerie.
  Optimized Synthesis of Self-Equalized Microwave Filters, in: IEEE Transactions on Microwave Theory and Techniques, July 2014, vol. 62, n^o 8, 6 p. [ DOI : 10.1109/TMTT.2014.2332135 ]
  https://hal.inria.fr/hal-01096240

International Conferences with Proceedings

• 18L. Baratchart, M. Olivi, F. Seyfert.
  Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching, in: MTNS-21st Symposium on Mathematical Theory of Networks and Systems, Groninguen, Netherlands, July 2014.
  https://hal.inria.fr/hal-00920564
• 19F. Seyfert, M. Oldoni, M. Olivi, S. Lefteriu, D. Pacaud.
  Deembedding of filters in multiplexers via rational approximation and interpolation, in: IMS - IEEE International Microwave Symposium, Tampa Bay, Florida, United States, June 2014.
  https://hal.inria.fr/hal-01052718
• 20F. Seyfert.
  Synthesis of Microwave filters: a novel approach based on computer algebra, in: MTNS-21st Symposium on Mathematical Theory of Networks and Systems, Groningen, Netherlands, July 2014.
  https://hal.archives-ouvertes.fr/hal-01100790

Scientific Books (or Scientific Book chapters)

• 21M. Oldoni, G. Macchiarella, F. Seyfert.
  Synthesis and Modelling Techniques for Microwave Filters and Diplexers: Advances in Analytical Methods with Applications to Design and Tuning, Scholars’ Press, February 2014.
  https://hal.inria.fr/hal-01096252

Internal Reports

• 22L. Baratchart, L. Bourgeois, J. Leblond.
  Uniqueness results for 2D inverse Robin problems with bounded coefficient, Inria Sophia Antipolis ; Inria Saclay, January 2015, n^o 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
• 23L. Baratchart, S. Chevillard, F. Seyfert.
  On Transfer Functions Realizable with Active Electronic Components, Inria Sophia Antipolis, December 2014, n^o RR-8659, 36 p.
  https://hal.inria.fr/hal-01098616
• 24L. Baratchart, J. Leblond, D. Ponomarev.
  Constrained optimization in classes of analytic functions with prescribed pointwise values, January 2014, n^o RR-8459.
  https://hal.inria.fr/hal-00938491

Other Publications

• 25L. Baratchart, L. Bourgeois, J. Leblond.
  Uniqueness results for inverse Robin problems with bounded coefficient, November 2014.
  https://hal.inria.fr/hal-01084428
• 26L. Baratchart, S. Chevillard, T. Qian.
  Minimax principle and lower bounds in H${}^2$-rational approximation, January 2015, Submitted to the special issue of Journal of Approximation Theory / Matematicheskii Sbornik, to the memory of A. A. Gonchar and H. Stahl.
  https://hal.inria.fr/hal-00922815
• 27S. Chaabi, S. Rigat.
  Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane, January 2014.
  https://hal.archives-ouvertes.fr/hal-00940237
• 28T. Jordanov, J.-P. Marmorat, M. Clerc, J. Leblond, A. waelkens, T. Papadopoulo.
  FindSources3D - Source Localization Using Rational Approximation on Plane Sections, Poster listings, June 2014, Organization Human Brain Mapping, Annual Meeting.
  https://hal.inria.fr/hal-01098108

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• 46L. Baratchart, F. Mandréa, E. B. Saff, F. Wielonsky.
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• 51L. 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, n^o 1, pp. 103–138.
• 52L. Baratchart, M. Yattselev.
  Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, n^o 6, pp. 675–715.
• 53L. Baratchart, M. Yattselev.
  Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, n^o 9, pp. 3-40.
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  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., 2010, vol. 507, pp. 87–111.
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• 56A. Ben Abda, F. Ben Hassen, J. Leblond, M. Mahjoub.
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• 57S. Bila, D. Baillargeat, M. Aubourg, S. Verdeyme, P. Guillon, F. Seyfert, J. Grimm, L. Baratchart, C. Zanchi, J. Sombrin.
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