Team, Visitors, External Collaborators
Overall Objectives
Research Program
Application Domains
Highlights of the Year
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Dissemination
Bibliography
XML PDF e-pub
PDF e-Pub


Bibliography

Major publications by the team in recent years
[1]
S. 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, pp. 2188–2203.
[2]
B. 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, pp. 177–203, Published online Nov. 2009.
http://dx.doi.org/10.1007/s00041-009-9110-0
[3]
L. Baratchart, A. Borichev, S. Chaabi.
Pseudo-holomorphic functions at the critical exponent, in: Journal of European Math. Soc., 2016, vol. 18, no 9, pp. 1919–1960.
[4]
L. 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
[5]
L. Baratchart, S. Chevillard, T. Qian.
Minimax principle and lower bounds in H2-rational approximation, in: Journal of Approximation Theory, 2015, vol. 206, pp. 17–47.
[6]
L. Baratchart, J. Leblond, S. Rigat, E. Russ.
Hardy spaces of the conjugate Beltrami equation, in: Journal of Functional Analysis, 2010, vol. 259, no 2, pp. 384-427.
http://dx.doi.org/10.1016/j.jfa.2010.04.004
[7]
L. 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
[8]
L. 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
[9]
M. 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.
http://hal.inria.fr/inria-00613644
[10]
A. 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
[11]
A. 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
[12]
V. 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, pp. 105-112.
http://dx.doi.org/10.1109/TMTT.2007.912234
[13]
M. Olivi, F. Seyfert, J.-P. Marmorat.
Identification of microwave filters by analytic and rational H2 approximation, in: Automatica, January 2013, vol. 49, no 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

[14]
D. Martínez Martínez.
Methodologies and synthesis tools for functions filters loaded by complex impedances, Université de Limoges, June 2019.
https://tel.archives-ouvertes.fr/tel-02273906

Articles in International Peer-Reviewed Journals

[15]
L. 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, no 1, 29 p.
https://hal.inria.fr/hal-01623991
[16]
L. Baratchart, C. Villalobos Guillén, D. P. Hardin, M. Northington, E. Saff.
Inverse Potential Problems for Divergence of Measures with Total Variation Regularization, in: Foundations of Computational Mathematics, November 2019. [ DOI : 10.1007/s10208-019-09443-x ]
https://hal.inria.fr/hal-02424672
[17]
P. Kergus, M. Olivi, C. Poussot-Vassal, F. Demourant.
From reference model selection to controller validation: Application to Loewner Data-Driven Control, in: IEEE Control Systems Letters, 2019, vol. 3, no 4, pp. 1008-1013. [ DOI : 10.1109/LCSYS.2019.2920208 ]
https://hal.archives-ouvertes.fr/hal-02181447

International Conferences with Proceedings

[18]
D. Martínez Martínez, S. Bila, F. Seyfert, M. Olivi, O. Tantot, L. Carpentier.
Synthesis Method for Manifold-Coupled Multiplexers, in: EuMC 2019 - 49th European Microwave Conference, Paris, France, October 2019.
https://hal-unilim.archives-ouvertes.fr/hal-02377002
[19]
Y. Zhang, K.-L. Wu, F. Seyfert.
A Preconditioner for Synthesizing Dispersive Bandpass Filters Using Isospectral Flow Method, in: APMC 2019, Singapour, Singapore, December 2019.
https://hal.inria.fr/hal-02421959

Conferences without Proceedings

[20]
V.-L. Coli, D. Binder, L. Blanc-Féraud, S. Cohen, L. Gomart, J. Leblond.
Modélisation 3D des fabriques et identification des techniques : nouvelles méthodes de segmentation et de reconnaissance de formes, in: Céramiques imprimées de Méditerranée occidentale. Matières premières, productions, usages, Nice, France, Didier Binder and Stéphane Azoulay and Alain Burr and Claire Manen and Martine Regert and Chrystèle Vérati, 2019.
https://hal.archives-ouvertes.fr/hal-02398835
[21]
L. Gomart, S. Aïssaoui, D. Binder, A. Burr, L. Cassard, V.-L. Coli, T. Denape, L. Drieu, G. Durrenmath, M. Gabriele, B. Gerhes, M. Horgnies, J.-M. Lardeaux, A. Mazuy, A. Pasqualini, M. Regert, S. Sorin, C. Vérati.
Autour de Pendimoun : une approche systémique de la production céramique, in: Céramiques imprimées de Méditerranée occidentale. Matières premières, productions, usages, Nice, France, Didier Binder and Stéphane Azoulay and Alain Burr and Claire Manen and Martine Regert and Chrystèle Vérati, 2019.
https://hal.archives-ouvertes.fr/hal-02398850
[22]
L. Gomart, D. Binder, L. Blanc-Féraud, S. Cohen, V.-L. Coli, L. Drieu, M. Gabriele, J. Leblond, D. Pisani, S. Sorin.
Des macro-traces au synchrotron : premiers résultats et enjeux relatifs aux méthodes de montage des céramiques, in: Céramiques imprimées de Méditerranée occidentale. Matières premières, productions, usages, Nice, France, Didier Binder and Stéphane Azoulay and Alain Burr and Claire Manen and Martine Regert and Chrystèle Vérati, 2019.
https://hal.archives-ouvertes.fr/hal-02398865
[23]
D. Martínez Martínez, S. Bila, F. Seyfert, M. Olivi, L. Carpentier.
Méthode de synthèse pour des multiplexeursà manifold, in: JNM 2019 - 21èmes Journées Nationales Microondes, Caen, France, May 2019.
https://hal-unilim.archives-ouvertes.fr/hal-02376985

Other Publications

[24]
L. Baratchart, S. Fueyo, G. Lebeau, J.-B. Pomet.
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference Delay Equations, November 2019, https://arxiv.org/abs/1911.13003 - working paper or preprint.
https://hal.inria.fr/hal-02385548
[25]
J. Leblond, E. Pozzi.
Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation, March 2019, https://arxiv.org/abs/1903.11346 - working paper or preprint.
https://hal.inria.fr/hal-02066780
References in notes
[26]
N. I. Achieser.
Elements of the Theory of Elliptic Functions, AMS, 1990.
[27]
D. 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.
[28]
J. A. Ball, I. Gohberg, L. Rodman.
Interpolation of rational matrix functions, Birkhäuser, 1990.
[29]
L. Baratchart.
A remark on uniqueness of best rational approximants of degree 1 in L2 of the circle, in: Elec. Trans.on Numerical Anal., 2006, vol. 25, pp. 54–66.
[30]
L. Baratchart.
On the H2 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.
[31]
L. Baratchart, A. Borichev, S. Chaabi.
Pseudo-holomorphic functions at the critical exponent, in: Journal of the European Mathematical Society, 2016, vol. 18, no 9. [ DOI : 10.4171/JEMS ]
https://hal.inria.fr/hal-00824224
[32]
L. Baratchart, L. Bourgeois, J. Leblond.
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
[33]
L. Baratchart, M. Cardelli, M. Olivi.
Identification and rational L2 approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, pp. 413–418.
[34]
L. Baratchart, M. Chyba, J.-B. Pomet.
A Grobman-Hartman theorem for control systems, in: J. Dyn. Differential Eqs., 2007, vol. 19, pp. 75-107.
[35]
L. 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
[36]
L. 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.
[37]
L. Baratchart, D. P. 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, no 1. [ DOI : 10.1088/0266-5611/29/1/015004 ]
http://hal.inria.fr/hal-00919261
[38]
L. Baratchart, R. Kuestner, V. Totik.
Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, pp. 1455–1499.
[39]
L. 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
[40]
L. Baratchart, J. Leblond.
Hardy approximation to Lp functions on subsets of the circle with 1p<, in: Constructive Approximation, 1998, vol. 14, pp. 41–56.
[41]
L. 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, no 1, pp. 79–90.
http://dx.doi.org/10.1088/0266-5611/15/1/012
[42]
L. 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.
[43]
L. Baratchart, J. Leblond, J. R. Partington.
Hardy approximation to L functions on subsets of the circle, in: Constructive Approximation, 1996, vol. 12, pp. 423–435.
[44]
L. Baratchart, J. Leblond, F. Seyfert.
Constrained extremal problems in H2 and Carleman's formulas, in: Matematicheskii Sbornik, 2018, vol. 209, no 7, 36 p.
https://hal.archives-ouvertes.fr/hal-01625840
[45]
L. 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.
[46]
L. Baratchart, M. Olivi.
Index of critical points in l2-approximation, in: System and Control Letters, 1988, vol. 10, pp. 167–174.
[47]
L. Baratchart, M. Olivi.
Critical points and error rank in best H2 matrix rational approximation of fixed McMillan degree, in: Constructive Approximation, 1998, vol. 14, pp. 273–300.
[48]
L. Baratchart, E. B. Saff, F. Wielonsky.
A criterion for uniqueness of a critical point in H2 rational approximation, in: Journal d'Analyse, 1996, vol. 70, pp. 225–266.
[49]
L. Baratchart, F. Seyfert.
An Lp analog to AAK theory for p2, in: Journal of Functional Analysis, 2002, vol. 191, no 1, pp. 52–122.
[50]
L. Baratchart, H. Stahl, F. Wielonsky.
Asymptotic uniqueness of best rational approximants of given degree to Markov functions in L2 of the circle, in: Constr. Approx., 2001, vol. 17, no 1, pp. 103–138.
[51]
L. Baratchart, M. Yattselev.
Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, vol. 9, no 6, pp. 675–715.
[52]
L. Baratchart, M. Yattselev.
Meromorphic approximants for complex Cauchy transforms with polar singularities, in: Mat. Sbornik, 2009, vol. 200, no 9, pp. 3-40.
[53]
L. Baratchart, M. Yattselev.
Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in L2 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.
[54]
L. Baratchart, M. Yattselev.
Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights, in: International Mathematics Research Notices, 2010, vol. 2010, no 22, pp. 4211–4275.
http://hal.inria.fr/hal-00508314
[55]
A. 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, no 11–12, pp. 2213–2223.
http://dx.doi.org/10.1016/j.mcm.2008.07.016
[56]
R. 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, pp. 4–12.
http://hal.inria.fr/hal-00663777
[57]
R. 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, no 12, pp. 2862–2872.
http://dx.doi.org/10.1109/TMTT.2002.805141
[58]
S. 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, pp. 49–57.
http://dx.doi.org/10.1088/0266-5611/20/1/003
[59]
S. Chaabi.
Analyse complexe et problèmes de Dirichlet dans le plan : équation de Weinstein et autres conductivités non bornées, Mathématiques et Informatique de Marseille, 2013.
[60]
R. Coifman, R. Rochberg, G. Weiss.
Factorization theorems for Hardy spaces in several variables, in: Ann. Math., 1976, vol. 103, pp. 611–635.
[61]
Y. 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/
[62]
A. Friedman, M. Vogelius.
Determining cracks by boundary measurements, in: Indiana Univ. Math. J., 1989, vol. 38, no 3, pp. 527–556.
[63]
P. Fulcheri, M. Olivi.
Matrix rational H2-approximation: a gradient algorithm based on Schur analysis, in: SIAM J. on Control & Optim., 1998, vol. 36, pp. 2103–2127.
[64]
J. B. Garnett.
Bounded analytic functions, Academic Press, 1981.
[65]
T. Georgiou.
A topological approach to Nevanlinna-Pick interpolation, in: SIAM J. Math. Anal., 1987, vol. 18, no 5, pp. 1248–1260.
[66]
B. 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
[67]
J. Helton, D. Marshall.
Frequency domain analysis and analytic selections, in: Indiana Univ. Math. J., 1990, vol. 39, no 1, pp. 157–184.
[68]
T. Iwaniec, G. Martin.
Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001.
[69]
N. Landkhof.
Foundations of modern potential theory, Springer-Verlag, 1972.
[70]
M. Lavrentiev.
Some Improperly Posed Problems of Mathematical Physics, Springer, 1967.
[71]
J.-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
[72]
H. Orchard, G. Temes.
Filter Design Using Transformed Variables, in: IEEE Transactions on Circuit Theory, dec 1968, vol. 15, no 4, pp. 385–408.
http://dx.doi.org/10.1109/TCT.1968.1082870
[73]
V. Peller.
Hankel Operators and their Applications, Springer, 2003.
[74]
A. Schneck.
Constrained Hardy space approximation, in: J. Approx. Theory, 2010, vol. 8, pp. 1466–1483.
[75]
I. Schur.
Über Potenzreihen die im innern des einheitskreises beschränkt sind, in: J. Reine Angew. Math., 1917, vol. 147, pp. 205–232.
[76]
F. 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
[77]
S. Smirnov.
Decomposition of solenoidal vector charges into elementary solenoids and the structure of normal one-dimensional currents, in: Algebra i Analiz, 1993, vol. 4, pp. 206-238, Transl. St Petersburg Math. Journal, n. 4, pp. 841–867, 1994.
[78]
E. M. Stein.
Harmonic Analysis, Princeton University Press, 1993.
[79]
A. Suàrez, R. Quéré.
Stability analysis of nonlinear microwave circuits, Artech House, 2003.
[80]
T. Wolff.
Counterexamples with harmonic gradients in 𝐑3, in: Essays on Fourier analysis in honor of Elias M. Stein, Math. Ser., Princeton Univ. Press, 1995, vol. 42, pp. 321–384.