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, 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, n^o 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, n^o 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, 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

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, n^o 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, n^o 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

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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 ]

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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 ]

http://hal.inria.fr/hal-00919261
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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.
41L. Baratchart, J. Leblond, J. R. Partington.

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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.
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A criterion for uniqueness of a critical point in $H^{2}$ rational approximation, in: Journal d'Analyse, 1996, vol. 70, pp. 225–266.
46L. 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.
47L. 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.
48L. Baratchart, M. Yattselev.

Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, n^o 6, pp. 675–715.
49L. Baratchart, M. Yattselev.

Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, n^o 9, pp. 3-40.
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., 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, n^o 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, n^o 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, n^o 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, n^o 12, pp. 2862–2872.

http://dx.doi.org/10.1109/TMTT.2002.805141
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Logarithmic stability estimates for a Robin coefficient in 2D Laplace inverse problems, in: Inverse Problems, 2004, vol. 20, n^o 1, pp. 49–57.

http://dx.doi.org/10.1088/0266-5611/20/1/003
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