A. B. Abda, F. Ben-hassen, J. Leblond, and M. Mahjoub, Sources recovery from boundary data: a model related to electroencephalography, Math. and Comput. Modelling, vol.49, p.22132223, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00798465

G. Alessandrini, L. Rondi, E. Rosset, and S. Vessella, The stability for the Cauchy problem for elliptic equations, Inverse Problems, vol.25, issue.12, p.12300447, 2009.
DOI : 10.1088/0266-5611/25/12/123004

B. Atfeh, L. Baratchart, J. Leblond, and J. R. Partington, Bounded Extremal and Cauchy???Laplace Problems on??the??Sphere and Shell, Journal of Fourier Analysis and Applications, vol.11, issue.2, p.177203, 2010.
DOI : 10.1007/s00041-009-9110-0

URL : https://hal.archives-ouvertes.fr/inria-00272203

A. Badia, Inverse source problem in an anisotropic medium by boundary measurements, Inverse Problems, vol.21, issue.5, p.14871506, 2005.
DOI : 10.1088/0266-5611/21/5/001

A. Badia and T. Ha-duong, An inverse source problem in potential analysis, Inverse Problems, vol.16, issue.3, p.651663, 2000.
DOI : 10.1088/0266-5611/16/3/308

L. Baratchart, Approximants for Linear Systems, IMA Journal of Mathematical Control and Information, vol.3, issue.2-3, p.89101, 1986.
DOI : 10.1093/imamci/3.2-3.89

L. Baratchart and M. Yattselev, Meromorphic approximants to complex Cauchy transforms with polar singularities, Sbornik: Mathematics, vol.200, issue.9, p.340, 2009.
DOI : 10.1070/SM2009v200n09ABEH004037

URL : https://hal.archives-ouvertes.fr/hal-00508311

L. Baratchart, M. Olivi, and F. Wielonsky, On a rational approximation problem in the real Hardy space H2, Theoretical Computer Science, vol.94, issue.2, p.175197, 1992.
DOI : 10.1016/0304-3975(92)90033-C

L. Baratchart, H. Stahl, and F. Wielonsky, Asymptotic Uniqueness of Best Rational Approximants of Given Degree to Markov Functions in L 2 of the Circle, Constructive Approximation, vol.17, issue.1, p.103138, 2001.
DOI : 10.1007/s003650010017

L. Baratchart, A. B. Abda, F. B. Hassen, and J. Leblond, Recovery of pointwise sources or small inclusions in 2D domains and rational approximation, Inverse Problems, vol.21, issue.1, p.5174, 2005.
DOI : 10.1088/0266-5611/21/1/005

L. Baratchart, J. Leblond, and J. Marmorat, Inverse source problem in a 3D ball from best meromorphic approximation on 2D slices, Electronic Trans. in Numerical Analysis, vol.25, p.4153, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00504716

R. Bassila, M. Clerc, J. Leblond, J. Marmorat, and T. Papadopoulo, Find- sources3d, 2008.

C. Bénar, R. N. Gunn, C. Grova, B. Champagne, and J. Gotman, Statistical Maps for EEG Dipolar Source Localization, IEEE Transactions on Biomedical Engineering, vol.52, issue.3, p.401413, 2005.
DOI : 10.1109/TBME.2004.841263

M. Clerc and J. Kybic, Cortical mapping by Laplace???Cauchy transmission using a boundary element method, Inverse Problems, vol.23, issue.6, p.25892601, 2007.
DOI : 10.1088/0266-5611/23/6/020

URL : https://hal.archives-ouvertes.fr/inria-00180229

B. Cun, A method for localizing EEG sources in realistic head models, IEEE Trans. on Biomedical Engineering, vol.42, p.6871, 1995.

R. Dautray and J. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, 2000.

P. Ebenfelt, D. Khavinson, and H. S. Shapiro, An Inverse Problem for the Double Layer Potential, Computational Methods and Function Theory, vol.236, issue.2, p.387402, 2001.
DOI : 10.1007/BF03320998

A. Gramfort, T. Papadopoulo, E. Olivi, and M. Clerc, OpenMEEG: opensource software for quasistatic bioelectromagnetics, BioMedical Engineering OnLine, vol.9, issue.1, 2010.
DOI : 10.1186/1475-925X-9-45

URL : https://hal.archives-ouvertes.fr/inria-00467061

V. Isakov, Inverse problems for partial dierential equations, Applied Mathematical Sciences, vol.127, 1998.

D. Kandaswamy, T. Blu, and D. Van-de-ville, Analytic Sensing: Noniterative Retrieval of Point Sources from Boundary Measurements, SIAM Journal on Scientific Computing, vol.31, issue.4, p.3179319, 2009.
DOI : 10.1137/080712829

V. A. Kozlov, V. G. Mazya, and A. V. Fomin, An iterative method for solving the Cauchy problem for elliptic equations, Comput. Maths. Math. Phys, vol.31, issue.1, p.4552, 1992.

J. Kybic, M. Clerc, T. Abboud, O. Faugeras, R. Keriven et al., A common formalism for the Integral formulations of the forward EEG problem, IEEE Transactions on Medical Imaging, vol.24, issue.1
DOI : 10.1109/TMI.2004.837363

J. Leblond, C. Paduret, S. Rigat, and M. Zghal, Source localization in ellipsoids by the best meromorphic approximation in planar sections, Inverse Problems, vol.24, issue.3, p.35017, 2008.
DOI : 10.1088/0266-5611/24/3/035017

J. Marmorat and M. Olivi, Rational approximation: RARL2, 2004.

J. Marmorat, M. Olivi, B. Hanzon, and R. L. Peeters, Matrix rational H/sup 2/ approximation: a state-space approach using Schur parameters, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2002.
DOI : 10.1109/CDC.2002.1185036

J. C. Mosher, P. S. Lewis, and R. M. Leahy, Multiple dipole modeling and localization from spatio-temporal MEG data, IEEE Transactions on Biomedical Engineering, vol.39, issue.6, p.541553, 1992.
DOI : 10.1109/10.141192

K. D. Phung, Remarques sur l'observabilit?? pour l'??quation de Laplace, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, p.621635, 2003.
DOI : 10.1051/cocv:2003030

W. Rudin, Real and Complex Analysis, 1987.

M. Scherg, T. Bast, and P. Berg, Multiple Source Analysis of Interictal Spikes: Goals, Requirements, and Clinical Value, Journal of Clinical Neurophysiology, vol.16, issue.3, p.214238, 1999.
DOI : 10.1097/00004691-199905000-00003

B. D. Van-veen and K. M. Buckley, Beamforming: a versatile approach to spatial filtering, IEEE ASSP Magazine, vol.5, issue.2, p.424, 1988.
DOI : 10.1109/53.665

S. Vessella, Locations and strengths of point sources: stability estimates, Inverse Problems, vol.8, issue.6, p.911917, 1992.
DOI : 10.1088/0266-5611/8/6/008