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, 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
4L. 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.
5L. 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
6L. Baratchart, M. Yattselev.

Padé approximants to certain elliptic-type functions, in: Jour. d'Analyse, 2013, vol. 121, n^o 1, pp. 31–86.
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
10P. K. Suetin.

Polynomials orthogonal over a region and Bieberbach polynomials, AMS, 1974, Translation of the Proceedings of the Steklov Institute of Mathematics, number 100.

Publications of the year

Articles in International Peer-Reviewed Journals

11L. Baratchart, S. Chevillard, T. Qian.

Minimax principle and lower bounds in H $^{2}$ -rational approximation, in: Journal of Approximation Theory, 2015, In Press. This is the corrected proof as pubished online by the journal. [ DOI : 10.1016/j.jat.2015.03.004 ]

https://hal.inria.fr/hal-00922815
12J. Leblond, E. Pozzi, E. Russ.

Composition Operators on Generalized Hardy Spaces, in: Complex Analysis and Operator Theory, December 2015. [ DOI : 10.1007/s11785-015-0464-9 ]

https://hal.archives-ouvertes.fr/hal-01242032
13F. Seyfert, M. Oldoni, M. Olivi, S. Lefteriu, D. Pacaud.

Deembedding of filters in multiplexers via rational approximation and interpolation, in: International Journal of RF and Microwave Computer-Aided Engineering, 2015, 7 p.

https://hal.inria.fr/hal-01165529

International Conferences with Proceedings

14L. Baratchart, M. Caenepeel, Y. Rolain.

Harmonic-like Identification of Nonlinear Systems around an Equilibrium, in: International Instrumentation and Measurement Technology Conference (I2MTC), Pisa, Italy, May 2015, Sub-version of an article by the same authors in Proceedings of I2MTC 2015. [ DOI : 10.1109/I2MTC.2015.7151338 ]

https://hal.inria.fr/hal-01245928
15M. Caenepeel, F. Seyfert, Y. Rolain, M. Olivi.

Microwave Filter Design based on Coupling Topologies with Multiple Solutions, in: IMS (International Microwave Symposium), Phoenix, United States, May 2015.

https://hal.inria.fr/hal-01165533
16M. Caenepeel, F. Seyfert, Y. Rolain, M. Olivi.

Parametric Modeling of the Coupling Parameters of Planar Coupled-Resonator Microwave Filters, in: Microwave Conference (EuMC 2015), Paris, France, September 2015, 4 p. [ DOI : 10.1109/EuMC.2015.7345819 ]

https://hal.inria.fr/hal-01197117

Conferences without Proceedings

17J. Leblond, J.-P. Marmorat, C. Papageorgakis.

Inverse skull conductivity estimation problems from EEG data, in: 1st International Conference on Mathematical Neuroscience (ICMNS), Juan-les-Pins, France, June 2015.

https://hal.archives-ouvertes.fr/hal-01243059
18C. Papageorgakis, S. Hitziger, T. Papadopoulo.

Dictionary learning for M/EEG multidimensional data, in: International conference on basic and clinical multimodal imaging (BACI), Utrecht, Netherlands, September 2015.

https://hal.archives-ouvertes.fr/hal-01243284
19C. Papageorgakis, B. Lanfer, M. Clerc.

Influence of skull modelling on conductivity estimation for EEG source analysis, in: International conference on basic and clinical multimodal imaging (BACI), Utrecht, Netherlands, September 2015.

https://hal.inria.fr/hal-01244392

Internal Reports

20L. Baratchart, L. Bourgeois, J. Leblond.

Uniqueness results for 2D inverse Robin problems with bounded coefficient, Inria Sophia Antipolis ; Inria Saclay ; Inria, 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

Other Publications

21L. Baratchart, M. Olivi, F. Seyfert.

Generalized Nevanlinna-Pick interpolation on the boundary. Application to impedance matching, December 2015, working paper or preprint.

https://hal.inria.fr/hal-01249330
22J. Leblond, D. Ponomarev.

Recovery of harmonic functions in planar domains from partial boundary data, with prescribed internal values, December 2015, working paper or preprint.

https://hal.archives-ouvertes.fr/hal-01242160

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 $L^{2}$ of the circle, in: Elec. Trans.on Numerical Anal., 2006, vol. 25, pp. 54–66.
27L. Baratchart.

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

Pseudo-holomorphic functions at the critical exponent, 2015, To appear, Journal of the European Mathematical Society.

http://hal.inria.fr/hal-00824224
29L. Baratchart, M. Cardelli, M. Olivi.

Identification and rational $L^{2}$ approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, pp. 413–418.
30L. Baratchart, M. Chyba, J.-B. Pomet.

A Grobman-Hartman theorem for control systems, in: J. Dyn. Differential Eqs., 2007, vol. 19, pp. 75-107.
31L. 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
32L. 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.
33L. 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
34L. Baratchart, R. Kuestner, V. Totik.

Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, n^o 5, pp. 1455–1499.
35L. 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
36L. Baratchart, J. Leblond.

Hardy approximation to $L^{p}$ functions on subsets of the circle with $1 \leq p < \infty$ , in: Constructive Approximation, 1998, vol. 14, pp. 41–56.
37L. 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, n^o 1, pp. 79–90.

http://dx.doi.org/10.1088/0266-5611/15/1/012
38L. 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.
39L. Baratchart, J. Leblond, J. R. Partington.

Hardy approximation to $L^{\infty}$ functions on subsets of the circle, in: Constructive Approximation, 1996, vol. 12, pp. 423–435.
40L. Baratchart, J. Leblond, F. Seyfert.

Extremal problems of mixed type in $H^{2}$ of the circle, Inria, 2009, n^o RR-7087.

http://fr.arxiv.org/abs/0911.1441
41L. 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.
42L. Baratchart, M. Olivi.

Index of critical points in $l^{2}$ -approximation, in: System and Control Letters, 1988, vol. 10, pp. 167–174.
43L. 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.
44L. Baratchart, E. B. Saff, F. Wielonsky.

A criterion for uniqueness of a critical point in $H^{2}$ rational approximation, in: Journal d'Analyse, 1996, vol. 70, pp. 225–266.
45L. 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.
46L. 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.
47L. Baratchart, M. Yattselev.

Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, n^o 6, pp. 675–715.
48L. Baratchart, M. Yattselev.

Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, n^o 9, pp. 3-40.
49L. 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.
50L. 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
51A. 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
52R. 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
53R. 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
54S. 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, n^o 1, pp. 49–57.

http://dx.doi.org/10.1088/0266-5611/20/1/003
55S. Chaabi.

Analyse complexe et problèmes de Dirichlet dans le plan : équation de Weinstein et autres conductivités non bornées, Mathématiques et Informatique de Marseille, 2013.
56R. Coifman, R. Rochberg, G. Weiss.

Factorization theorems for Hardy spaces in several variables, in: Ann. Math., 1976, vol. 103, pp. 611–635.
57Y. Fischer.

Approximation des 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/
58A. Friedman, M. Vogelius.

Determining cracks by boundary measurements, in: Indiana Univ. Math. J., 1989, vol. 38, n^o 3, pp. 527–556.
59P. Fulcheri, M. Olivi.

Matrix rational $H^{2}$ -approximation: a gradient algorithm based on Schur analysis, in: SIAM J. on Control & Optim., 1998, vol. 36, pp. 2103–2127.
60J. B. Garnett.

Bounded analytic functions, Academic Press, 1981.
61T. Georgiou.

A topological approach to Nevanlinna-Pick interpolation, in: SIAM J. Math. Anal., 1987, vol. 18, n^o 5, pp. 1248–1260.
62B. 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
63J. Helton, D. Marshall.

Frequency domain analysis and analytic selections, in: Indiana Univ. Math. J., 1990, vol. 39, n^o 1, pp. 157–184.
64T. Iwaniec, G. Martin.

Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001.
65B. Jacob, J. Leblond, J.-P. Marmorat, J. R. Partington.

A constrained approximation problem arising in parameter identification, in: Linear Algebra and its Applications, 2002, vol. 351-352, pp. 487-500.
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, n^o 4, pp. 385–408.

http://dx.doi.org/10.1109/TCT.1968.1082870
70V. Peller.

Hankel Operators and their Applications, Springer, 2003.
71A. Schneck.

Constrained Hardy space approximation, in: J. Approx. Theory, 2010, vol. 8, pp. 1466–1483.
72I. Schur.

Über Potenzreihen die im innern des einheitskreises beschränkt sind, in: J. Reine Angew. Math., 1917, vol. 147, pp. 205–232.
73F. 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
74E. M. Stein.

Harmonic Analysis, Princeton University Press, 1993.
75A. Suàrez, R. Quéré.

Stability analysis of nonlinear microwave circuits, Artech House, 2003.
76T. Wolff.

Counterexamples with harmonic gradients in $𝐑^{3}$ , in: Essays on Fourier analysis in honor of Elias M. Stein, Math. Ser., Princeton Univ. Press, 1995, vol. 42, pp. 321–384.

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