Bibliography
Major publications by the team in recent years
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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, no 8, p. 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, no 2, p. 177–203, Published online Nov. 2009.
http://dx. doi. org/ 10. 1007/ s00041-009-9110-0 -
3L. Baratchart, S. Kupin, V. Lunot, M. Olivi.
Multipoint Schur algorithm and orthogonal rational functions: convergence properties, I, in: Journal d'Analyse, 2011, vol. 112, p. 207-255.
http://arxiv. org/ abs/ 0812. 2050v3 -
4L. 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, p. 41–53. -
5L. Baratchart, J. Leblond, S. Rigat, E. Russ.
Hardy spaces of the conjugate Beltrami equation, in: Journal of Functional Analysis, 2010, vol. 259, no 2, p. 384-427.
http://dx. doi. org/ 10. 1016/ j. jfa. 2010. 04. 004, http:// hal. inria. fr/ hal-00401712 -
6L. 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, p. 1-41. -
7L. Baratchart, M. Yattselev.
Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, p. 675–715. -
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, no 1, p. 4–12. [ DOI : 10.1002/mmce.20190 ]
http://hal. inria. fr/ hal-00663777 -
9Y. Fischer, B. Marteau, Y. Privat.
Some inverse problems around the tokamak Tore Supra, in: Communications on Pure and Applied Analysis, 2012, vol. 11, no 6, p. 2327-2349. [ DOI : 10.3934/cpaa.2012.11.2327 ]
http://hal. inria. fr/ hal-00537648 -
10B. Hanzon, M. Olivi, R. Peeters.
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm, in: Linear Algebra and its Applications, 2006, vol. 418, p. 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, no 1, p. 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, p. 1329–1338.
http://dx. doi. org/ 10. 1016/ j. automatica. 2007. 01. 020
Doctoral Dissertations and Habilitation Theses
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13A.-M. Nicu.
Approximation et représentation des fonctions sur la sphère. Applications à la géodésie et à l'imagerie médicale., Université de Nice Sophia-Antipolis, ED STIC, February 2012.
http://hal. inria. fr/ tel-00671453
Articles in International Peer-Reviewed Journals
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14L. Baratchart, H. Stahl, M. Yattselev.
Weighted Extremal Domains and Best Rational Approximation, in: Advances in Mathematics, 2012, vol. 229, p. 357-407, 44 pages, 5 figures. [ DOI : 10.1016/j.aim.2011.09.005 ]
http://hal. inria. fr/ hal-00665834 -
15S. Chevillard.
The functions erf and erfc computed with arbitrary precision and explicit error bounds, in: Information and Computation, 2012, vol. 216, p. 72 – 95, (the version available on the HAL server is slightly different from the published version because it contains full proofs).
http://hal. inria. fr/ ensl-00356709 -
16M. Clerc, J. Leblond, J.-P. Marmorat, T. Papadopoulo.
Source localization using rational approximation on plane sections, in: Inverse Problems, May 2012, vol. 28, no 5, 24 p, This article corresponds to Inria Research Report N° RR-7704 available at http://hal.inria.fr/inria-00613644 . [ DOI : 10.1088/0266-5611/28/5/055018 ]
http://hal. inria. fr/ hal-00699541 -
17Y. Fischer, B. Marteau, Y. Privat.
Some inverse problems around the tokamak Tore Supra, in: Communications on Pure and Applied Analysis, 2012, vol. 11, no 6, p. 2327-2349. [ DOI : 10.3934/cpaa.2012.11.2327 ]
http://hal. inria. fr/ hal-00537648 -
18M. Olivi, F. Seyfert, J.-P. Marmorat.
Identification of microwave filters by analytic and rational H2 approximation, in: Automatica, 2012. [ DOI : 10.1016/j.automatica.2012.10.005 ]
http://hal. inria. fr/ hal-00753824 -
19E. Pozzi.
Universality of weighted composition operators on and Sobolev spaces, in: Acta Scientiarum Mathematicarum (Szeged), 2012, vol. 78, p. 609-642. -
20F. Seyfert, M. Martinez-Mendoza, C. Ernst, A. Alvarez-Melcon.
Formal Expression of Sensitivity and Energy Relationship in the Context of the Coupling Matrix, in: IEEE Transactions on Microwave Theory and Techniques, November 2012, vol. 60, no 11, p. 3369 - 3375.
http://hal. inria. fr/ hal-00763652 -
21F. Seyfert, M. Oldoni, G. Macchiarella, D. Pacaud.
De-embedding response of filters from diplexer measurements, in: International Journal of RF and Microwave Computer-Aided Engineering, August 2012, D. (2012). [ DOI : 10.1002/mmce.20664 ]
http://hal. inria. fr/ hal-00763665
International Conferences with Proceedings
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22M. Oldoni, G. Macchiarella, F. Seyfert, S. Amari.
Synthesis of Microwave Filters with "Reactive"nodes, in: European Microwave Week 2012, Amsterdam, Pays-Bas, October 2012, EuMC24-5.
http://hal. inria. fr/ hal-00763722 -
23C. Sexton, M. Olivi, B. Hanzon.
Rational Approximation of Transfer Functions for Non-Negative EPT Densities, in: 16th IFAC Symposium on System Identification, Bruxelles, Belgique, July 2012.
http://hal. inria. fr/ hal-00763205
Conferences without Proceedings
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24H. Ezzeddine, S. Bila, S. Verdeyme, F. Seyfert, D. Pacaud, L. Estagerie, J. Puech, P. Mazet.
Design of a compact dual-band diplexer with dual mode cavities, in: European Microwave Week (EuMW), Amsterdam, Netherlands, October 2012, EuMC 24-2.
http://hal. inria. fr/ hal-00735858
Internal Reports
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25J. Leblond, J. R. Partington, E. Pozzi.
Best approximation in Hardy spaces and by polynomials, with norm constraints, Inria, October 2012, no RR-8098, Submitted for publication.
http://hal. inria. fr/ hal-00746554
Other Publications
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26M. Clerc, J. Leblond, J.-P. Marmorat, T. Papadopoulo.
Identification de sources en électro-encéphalographie, 2012, Poster, Colloque Ingénierie et STIC pour la Santé, Paris, France.
http://www-sop. inria. fr/ members/ Juliette. Leblond/ posters. html -
27Y. Fischer, J. Leblond, D. Ponomarev.
Equilibrium plasma shape recovery from magnetic measurements in tokamaks, Oct. 2012, Poster, 2nd PhD Event in Fusion Science and Engineering, Pont-à-Mousson, France. -
28D. Ponomarev.
Constrained optimization with prescribed values on the disk, 2012, Internship Report. -
29J. Zhou.
A Hardy-Hodge Decomposition on the 2D Sphere, Ecole des Mines de Nancy, 2012.
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30N. I. Achieser.
Elements of the Theory of Elliptic Functions, AMS, 1990. -
31D. Alpay, L. Baratchart, A. Gombani.
On the Differential Structure of Matrix-Valued Rational Inner Functions, in: Operator Theory : Advances and Applications, 1994, vol. 73, p. 30-66. -
32J. A. Ball, I. Gohberg, L. Rodman.
Interpolation of rational matrix functions, Birkhäuser, 1990. -
33L. Baratchart.
On the Rational Approximation of Markov Matrix-Valued Functions, in: Proc. 17th Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japon, 2006, p. 180-182. -
34L. Baratchart, M. Cardelli, M. Olivi.
Identification and rational approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, p. 413-418. -
35L. Baratchart, Y. Fischer, J. Leblond.
Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation, To appear in Complex Variable & Elliptic Equations.
http://arxiv. org/ abs/ 1111. 6776 -
36L. 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. -
37L. Baratchart, D. P. Hardin, E. A. Lima, E. B. Saff, B. P. Weiss.
Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions, in: Inverse Problems, 2013, vol. 29, no 1, Available online on the site of the journal. To appear in 2013.
http://dx. doi. org/ 10. 1088/ 0266-5611/ 29/ 1/ 015004 -
38L. Baratchart, R. Kuestner, V. Totik.
Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, p. 1455-1499. -
39L. Baratchart, J. Leblond.
Silent electrical sources in domains of , In preparation. -
40L. Baratchart, J. Leblond.
Hardy approximation to functions on subsets of the circle with , in: Constructive Approximation, 1998, vol. 14, p. 41-56. -
41L. 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, p. 79–90. -
42L. Baratchart, J. Leblond, J. R. Partington.
Hardy approximation to functions on subsets of the circle, in: Constructive Approximation, 1996, vol. 12, p. 423-435. -
43L. Baratchart, J. Leblond, F. Seyfert.
Extremal problems of mixed type in of the circle, Inria, 2009, no RR-7087.
http://fr. arxiv. org/ abs/ 0911. 1441 -
44L. Baratchart, M. Olivi.
Index of critical points in -approximation, in: System and Control Letters, 1988, vol. 10, p. 167–174. -
45L. Baratchart, M. Olivi.
Critical points and error rank in best matrix rational approximation of fixed McMillan degree, in: Constructive Approximation, 1998, vol. 14, p. 273-300. -
46L. Baratchart, E. B. Saff, F. Wielonsky.
A criterion for uniqueness of a critical point in rational approximation, in: Journal d'Analyse, 1996, vol. 70, p. 225-266. -
47L. Baratchart, F. Seyfert.
An analog to AAK theory for , in: Journal of Functional Analysis, 2002, vol. 191, no 1, p. 52–122. -
48L. Baratchart, H. Stahl, F. Wielonsky.
Asymptotic uniqueness of best rational approximants of given degree to Markov functions in of the circle, in: Constr. Approx., 2001, vol. 17, no 1, p. 103–138. -
49L. Baratchart, M. Yattselev.
Padé approximants to certain elliptic-type functions, Accepted for publication in "Journal d'Analyse".
http://arxiv. org/ abs/ 1205. 4480 -
50L. Baratchart, M. Yattselev.
Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in of the circle, in: Recent trends in orthogonal polynomials and approximation theory, Providence, RI, Contemp. Math., Amer. Math. Soc., Providence, RI, 2010, vol. 507, p. 87–111. -
51L. Baratchart, M. Yattselev.
Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights, in: International Mathematics Research Notices, 2010, 65 p.
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, p. 2213-2223. [ DOI : doi:10.1016/j.mcm.2008.07.016 ]
http://dx. doi. org/ 10. 1016/ j. mcm. 2008. 07. 016 -
53S. 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, p. 46-51. -
54J. Blum.
Numerical simulation and optimal control in plasma physics, with applications to Tokamaks, Wiley/Gauthier-Villars, 1989. -
55R. Cameron, A. Harish, C. Radcliffe.
Synthesis of advanced microwave filters without diagonal cross-couplings, in: Microwave Theory and Techniques, IEEE Transactions on, dec 2002, vol. 50, no 12, p. 2862 - 2872.
http://dx. doi. org/ 10. 1109/ TMTT. 2002. 805141 -
56S. 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, no 1, p. 49–57. -
57S. Chevillard, M. Mezzarobba.
Multiple precision evaluation of the Airy Ai function with reduced cancellation, 2013, accepted for publication in the Proceedings of ARITH 21. -
58Y. 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/ -
59A. Friedman, M. Vogelius.
Determining cracks by boundary measurements, in: Indiana Univ. Math. J., 1989, vol. 38, no 3, p. 527-556. -
60P. Fulcheri, M. Olivi.
Matrix rational -approximation: a gradient algorithm based on Schur analysis, in: SIAM J. on Control & Optim., 1998, vol. 36, p. 2103-2127. -
61J. B. Garnett.
Bounded analytic functions, Academic Press, 1981. -
62T. Georgiou.
A topological approach to Nevanlinna-Pick interpolation, in: SIAM J. Math. Anal., 1987, p. 1248-1260. -
63A. A. Gonchar, E. A. Rakhmanov.
Equilibrium distributions and degree of rational approximation of analytic functions, in: Math. USSR Sbornik, 1989, vol. 62, no 2. -
64J. Helton, D. Marshall.
Frequency domain analysis and analytic selections, in: Indiana Univ. Math. J., 1990, vol. 39, no 1, p. 157–184. -
65T. Iwaniec, G. Martin.
Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001. -
66M. Jaoua, J. Leblond, M. Mahjoub, J. R. Partington.
Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains, in: IMA J. of Applied Mathematics, 2009, vol. 74, p. 481-506.
http://dx. doi. org/ 10. 1093/ imamat/ hxn041 -
67A. Karoui, J. Leblond, A.-M. Nicu.
Slepian functions on the sphere with applications to signal recovery and inverse source problems, In preparation. -
68N. Landkhof.
Foundations of modern potential theory, Springer-Verlag, 1972. -
69M. Lavrentiev.
Some Improperly Posed Problems of Mathematical Physics, Springer, 1967. -
70H. Orchard, G. Temes.
Filter Design Using Transformed Variables, in: Circuit Theory, IEEE Transactions on, dec 1968, vol. 15, no 4, p. 385 - 408.
http://dx. doi. org/ 10. 1109/ TCT. 1968. 1082870 -
71D. Pelinovsky, D. Ponomarev.
Justification of a nonlinear Schrodinger model for laser beams in photopolymers, Submitted for publication. -
72V. V. Peller.
Hankel Operators and their Applications, Springer, 2003. -
73D. Ponomarev.
Global justification analysis for linear parabolic approximation in a reduced photopolymer model, In preparation. -
74E. B. Saff, V. Totik.
Logarithmic potentials with external fields, Grundlehren der mathematischen Wissenshaften, Springer, 1997, vol. 316. -
75A. Schneck.
Constrained Hardy space approximation, in: J. Approx. Theory, 2010, vol. 8. -
76I. Schur.
Über Potenzreihen die im innern des einheitskreises beschränkt sind, in: J. Reine Angew. Math., 1917, vol. 147, p. 205-232. -
77F. 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: Microwave Symposium Digest, 2003 IEEE MTT-S International, Philadelphie, États-Unis, IEEE, 2003, vol. 1, p. 25-28. [ DOI : 10.1109/MWSYM.2003.1210875 ]
http://hal. inria. fr/ hal-00663504 -
78E. M. Stein.
Harmonic Analysis, Princeton University Press, 1993. -
79T. Wolff.
Counterexamples with harmonic gradients in , in: Essays on Fourier analysis in honor of Elias M. Stein, P. U. Press (editor), Math. Ser., 1995, vol. 42, p. 321–384.