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, http://hal.inria.fr/hal-00401712
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
7R. 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
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, http://hal.inria.fr/hal-00699541
9B. 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
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
11J.-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

Publications of the year

Doctoral Dissertations and Habilitation Theses

12S. Chaabi.

Analyse complexe et problèmes de Dirichlet dans le plan : équation de Weinstein et autres conductivités non-bornées, Aix-Marseille Université, December 2013.

http://hal.inria.fr/tel-00916049

Articles in International Peer-Reviewed Journals

13L. 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 ]

http://hal.inria.fr/hal-00909577
14L. Baratchart, D. 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, n^o 1. [ DOI : 10.1088/0266-5611/29/1/015004 ]

http://hal.inria.fr/hal-00919261
15L. Baratchart, M. Yattselev.

Padé approximants to certain elliptic-type functions, in: Journal d'Analyse Mathématique, 2013, vol. 121, n^o 1, pp. 31-86, arXiv admin note: substantial text overlap with arXiv:1103.3556. [ DOI : 10.1007/s11854-013-0027-9 ]

http://hal.inria.fr/hal-00764314
16H. 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, A paraitre. [ DOI : 10.1002/mmce.20760 ]

http://hal.inria.fr/hal-00924828
17J. Leblond, J. R. Partington, E. Pozzi.

Best approximation in Hardy spaces and by polynomials, with norm constraints, in: Integral Equations and Operator Theory, August 2013, vol. 75, n^o 4, pp. 491-516.

http://hal.inria.fr/hal-00904895
18E. A. Lima, B. Weiss, L. Baratchart, D. Hardin, E. B. Saff.

Fast inversion of magnetic field maps of unidirectional planar geological magnetization, in: Journal of Geophysical Research, June 2013, vol. 118, n^o 6, pp. 2723-2752. [ DOI : 10.1002/jgrb.50229 ]

http://hal.inria.fr/hal-00919305
19M. 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
20D. Pelinovsky, D. Ponomarev.

Justification of a nonlinear Schrödinger model for laser beams in photopolymers, in: Zeitschrift für Angewandte Mathematik und Physik, May 2013. [ DOI : 10.1007/s00033-013-0338-9 ]

http://hal.inria.fr/hal-00917025

International Conferences with Proceedings

21L. Baratchart.

Rational and meromorphic approximation to functions with branchpoints: n-th root asymptotics and Hankel singular values, in: Recent trends in analysis: conference in honor of N. Nikolskii, Bordeaux, France, A. Borichev, K. Davidson, S. Kupin, G. Pisier, F. Vasilescu, V. Vasyunin (editors), Theta series in advanced Mathematics, Theta Foundation, 2013, vol. 16, pp. 47-72.

http://hal.inria.fr/hal-00936693
22S. Chevillard, M. Mezzarobba.

Multiple precision evaluation of the Airy Ai function with reduced cancellation, in: 21st IEEE Symposium on Computer Arithmetic, Austin, TX, United States, A. Nannarelli, P.-M. Seidel, P. T. P. Tang (editors), 2013, pp. 175-182. [ DOI : 10.1109/ARITH.2013.33 ]

http://hal.inria.fr/hal-00767085
23H. Ezzeddine, S. Bila, S. Verdeyme, F. Seyfert, D. Pacaud, J. Puech, L. Estagerie.

Design of compact and innovative microwave filters and multiplexers for space applications, in: IEEE Mediterranean Microwave Symposium (MMS 2013), Saïda, Lebanon, 2013. [ DOI : 10.1109/MMS.2013.6663112 ]

http://hal.inria.fr/hal-00924936
24S. Lefteriu, M. Oldoni, M. Olivi, F. Seyfert.

De-embedding multiplexers by Schur reduction, in: CDC - Conférence on Decision and Control, Florence, Italy, December 2013.

http://hal.inria.fr/hal-00904794
25R. L. Peeters, M. Olivi, B. Hanzon.

Continuous-time lossless systems, boundary interpolation and pivot structures, in: SSSC- 5th Symposium on System Structure and Control - 2013, Grenoble, France, February 2013.

http://hal.inria.fr/hal-00788428

Internal Reports

26L. Baratchart, J. Leblond, D. Ponomarev.

Constrained optimization in classes of analytic functions with prescribed pointwise values, Inria, January 2014, n^o RR-8459.

http://hal.inria.fr/hal-00938491
27A. Rousseau, A. Darnaud, B. Goglin, C. Acharian, C. Leininger, C. Godin, C. Holik, C. Kirchner, D. Rives, E. Darquie, E. Kerrien, F. Neyret, F. Masseglia, F. Dufour, G. Berry, G. Dowek, H. Robak, H. Xypas, I. Illina, I. Gnaedig, J. Jongwane, J. Ehrel, L. Viennot, L. Guion, L. Calderan, L. Kovacic, M. Collin, M.-A. Enard, M.-H. Comte, M. Quinson, M. Olivi, M. Giraud, M. Dorémus, M. Ogouchi, M. Droin, N. Lacaux, N. Rougier, N. Roussel, P. Guitton, P. Peterlongo, R.-M. Cornus, S. Vandermeersch, S. Maheo, S. Lefebvre, S. Boldo, T. Viéville, V. Poirel, A. Chabreuil, A. Fischer, C. Farge, C. Vadel, I. Astic, J.-P. Dumont, L. Féjoz, P. Rambert, P. Paradinas, S. De Quatrebarbes, S. Laurent.

Médiation Scientifique : une facette de nos métiers de la recherche, March 2013, 34 p.

http://hal.inria.fr/hal-00804915

Other Publications

28L. Baratchart, A. Borichev, S. Chaabi.

Pseudo-holomorphic functions at the critical exponent, September 2013.

http://hal.inria.fr/hal-00824224
29L. Baratchart, S. Chevillard, T. Qian.

Minimax principle and lower bounds in H⌃2-rational approximation, December 2013, Submitted to the special issue of Journal of Approximation Theory / Matematicheskii Sbornik, to the memory of A. A. Gonchar and H. Stahl.

http://hal.inria.fr/hal-00922815
30L. Baratchart, M. Olivi, F. Seyfert.

Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching, December 2013, Submitted to MTNS 2014.

http://hal.inria.fr/hal-00920564
31S. Chaabi, S. Rigat.

Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane, 2014.

http://hal.inria.fr/hal-00940237
32S. Elliott, J. Leblond, E. Pozzi, E. Russ.

Composition operators on generalized Hardy spaces, 2013.

http://hal.inria.fr/hal-00873492
33J. Leblond.

Identifiability properties for inverse problems in medical engineering with observability and optimization issues, 2013, Submitted for publication. Proceedings of the Workshop on Control and Observation of Nonlinear Control Systems with Application to Medicine (CONCSAM, Hawaii, 2013).

http://hal.inria.fr/hal-00875006

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http://dx.doi.org/10.1088/0266-5611/15/1/012
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Constrained optimization in classes of analytic functions with prescribed pointwise values, In preparation.
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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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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
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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
57S. 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, pp. 46–51.
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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.

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