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, A. Borichev, S. Chaabi.

Pseudo-holomorphic functions at the critical exponent, in: Journal of European Math. Soc., 2016, vol. 18, n^o 9, pp. 1919–1960.
4L. Baratchart, S. Chevillard, T. Qian.

Minimax principle and lower bounds in $H^{2}$ -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, n^o 2, pp. 384-427.

http://dx.doi.org/10.1016/j.jfa.2010.04.004
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
7M. 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
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, n^o 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, n^o 2, pp. 317-325. [ DOI : 10.1016/j.automatica.2012.10.005 ]

http://hal.inria.fr/hal-00753824

Publications of the year

Doctoral Dissertations and Habilitation Theses

10C. Papageorgakis.

Patient specific conductivity models: characterization of the skull bones, Université Côte d’Azur, December 2017.

https://hal.inria.fr/tel-01662075

Articles in International Peer-Reviewed Journals

11L. 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
12A. 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, September 2017, https://arxiv.org/abs/1610.03235. [ DOI : 10.1109/TMTT.2017.2749222 ]

https://hal.inria.fr/hal-01381731

Invited Conferences

13S. Chevillard, J. Leblond, K. Mavreas.

Dipole localization in Moon rocks from sparse magnetic data, in: TAMTAM2017 - Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc, Hammamet, Tunisia, May 2017.

https://hal.inria.fr/hal-01526948
14M. Clerc, J. Leblond, J.-P. Marmorat, C. Papageorgakis.

Inverse conductivity recovery problem in a spherical geometry from EEG data: uniqueness, reconstruction and stability results, in: TAMTAM 2017 - 8ème colloque, Tendances dans les Applications Mathématiques en Tunisie Algérie Maroc, Hammamet, Tunisia, May 2017, 1 p.

https://hal.inria.fr/hal-01526931

International Conferences with Proceedings

15G. Bose, F. FERRERO, L. Lizzi, D. Martinez, F. Seyfert.

Convex optimization for the synthesis of matching filters, in: ICEAA 2017- International Conference on Electromagnetics in Advanced Applications, Verona, Italy, IEEE (editor), September 2017, pp. 1450-1453. [ DOI : 10.1109/ICEAA.2017.8065554 ]

https://hal.archives-ouvertes.fr/hal-01621215
16D. Martínez Martínez, F. Seyfert, M. Olivi, S. Bila, F. Torres, J. Sence.

Synthesis Method for Matching Filters, in: 2017 IEEE MTT-S International Microwave Symposium (IMS), Honololu, United States, June 2017, pp. 1930-1933. [ DOI : 10.1109/MWSYM.2017.8059040 ]

https://hal.archives-ouvertes.fr/hal-01420636

Conferences without Proceedings

17C. Papageorgakis, S. Hitziger, T. Papadopoulo.

Dictionary Learning for Multidimensional Data, in: Proceedings of GRETSI 2017, Juan-les-Pins, France, September 2017.

https://hal.inria.fr/hal-01575263

Scientific Books (or Scientific Book chapters)

18L. Baratchart, J. Leblond, F. Seyfert.

Constrained L2-approximation by polynomials on subsets of the circle, in: New Trends in Approximation Theory. In Memory of André Boivin, J. Mashreghi, M. Manolaki, P. M. Gauthier (editors), Fields Institute Communications, Springer, 2017, vol. 81, pp. 1-14, https://arxiv.org/abs/1710.10808.

https://hal.archives-ouvertes.fr/hal-01671183
19J. Leblond, D. Ponomarev.

On some extremal problems for analytic functions with constraints on real or imaginary parts, in: Advances in Complex Analysis and Operator Theory: Festschrift in Honor of Daniel Alpay’s 60th Birthday, F. Colombo, I. Sabadini, D. C. Struppa, M. B. Vajiac (editors), Birkhauser, 2017, pp. 219-236. [ DOI : 10.1007/978-3-319-62362-7_8 ]

https://hal.archives-ouvertes.fr/hal-01623281

Other Publications

20L. Baratchart, S. Chevillard, A. Cooman, M. Olivi, F. Seyfert.

Linearized Active Circuits: Transfer Functions and Stability, December 2017, Preprint submitted to Automatica.

https://hal.inria.fr/hal-01667606
21L. Baratchart, S. Chevillard, D. P. Hardin, J. Leblond, E. A. Lima, J.-P. Marmorat.

Magnetic moment estimation and bounded extremal problems, October 2017, Soumis pour publication dans "Inverse problems and imaging".

https://hal.inria.fr/hal-01623991
22L. Baratchart, P. Dang, T. Qian.

Hardy-Hodge Decomposition of Vector Fields in $R n$ , January 2017, https://arxiv.org/abs/1702.04233 - to appear in Transactions of the American Mathematical Society.

https://hal.inria.fr/hal-01462960
23L. Baratchart, C. Gerhards.

On the Recovery of Core and Crustal Components of Geomagnetic Potential Fields, March 2017, A version with minor modifications is to appear in SIAP (Vol. 77, Issue 5).

https://hal.inria.fr/hal-01486222
24A. Burel, J. Leblond, B. Schapira, R. Texier-Picard.

Troisième journée parité en mathématiques: Compte-rendu, 2017, IHP, Paris, 2016. Paru dans la Gazette des Mathématiciens, SMF.

https://hal.inria.fr/hal-01631278
25S. Chevillard, J. Leblond, K. Mavreas.

Dipole recovery from sparse measurements of its magnetic field on a cylindrical geometry, December 2017, This work is submitted for publication to the proceedings of the conference ISEM2017 (http://www.isem2017.org/).

https://hal.inria.fr/hal-01618885

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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, pp. 180–182.
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Pseudo-holomorphic functions at the critical exponent, in: Journal of the European Mathematical Society, 2016, vol. 18, n^o 9. [ DOI : 10.4171/JEMS ]

https://hal.inria.fr/hal-00824224
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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
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Moments estimation of magnetic source terms from partial data, 2016, working paper or preprint.

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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
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Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions, in: Inverse Problems, 2013, vol. 29, n^o 1. [ DOI : 10.1088/0266-5611/29/1/015004 ]

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41L. Baratchart, J. Leblond.

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http://dx.doi.org/10.1088/0266-5611/15/1/012
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Sources identification in 3D balls using meromorphic approximation in 2D disks, in: Electronic Transactions on Numerical Analysis (ETNA), 2006, vol. 25, pp. 41–53.
44L. Baratchart, J. Leblond, J. R. Partington.

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Constrained extremal problems in H2 and Carleman's formulas, in: Matematicheskii Sbornik, 2018, accepted for publication.

https://hal.archives-ouvertes.fr/hal-01625840
46L. 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.
47L. Baratchart, M. Olivi.

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48L. 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, pp. 273–300.
49L. Baratchart, E. B. Saff, F. Wielonsky.

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50L. Baratchart, F. Seyfert.

An $L^{p}$ analog to AAK theory for $p \geq 2$ , in: Journal of Functional Analysis, 2002, vol. 191, n^o 1, pp. 52–122.
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.
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Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, n^o 6, pp. 675–715.
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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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Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights, in: International Mathematics Research Notices, 2010, vol. 2010, n^o 22, pp. 4211–4275.

http://hal.inria.fr/hal-00508314
56A. 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, n^o 11–12, pp. 2213–2223.

http://dx.doi.org/10.1016/j.mcm.2008.07.016
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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
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Synthesis of advanced microwave filters without diagonal cross-couplings, in: IEEE Transactions on Microwave Theory and Techniques, dec 2002, vol. 50, n^o 12, pp. 2862–2872.

http://dx.doi.org/10.1109/TMTT.2002.805141
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