J. Azais, Y. D. Castro, and F. Gamboa, Spike detection from inaccurate samplings, Applied and Computational Harmonic Analysis, vol.38, issue.2, 2013.
DOI : 10.1016/j.acha.2014.03.004
URL : https://hal.archives-ouvertes.fr/hal-00780808

J. K. Baksalary and O. M. Baksalary, Particular formulae for the Moore???Penrose inverse of a columnwise partitioned matrix, Linear Algebra and its Applications, vol.421, issue.1, pp.16-23, 2007.
DOI : 10.1016/j.laa.2006.03.031

H. H. Bauschke and P. L. Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2011.
DOI : 10.1007/978-3-319-48311-5
URL : https://hal.archives-ouvertes.fr/hal-00643354

K. Bredies and H. K. Pikkarainen, Inverse problems in spaces of measures, ESAIM: Control, Optimisation and Calculus of Variations, vol.19, issue.1, pp.190-218, 2013.
DOI : 10.1051/cocv/2011205

E. J. Candès and C. Fernandez-granda, Super-Resolution from Noisy Data, Journal of Fourier Analysis and Applications, vol.39, issue.8, pp.1229-1254, 2013.
DOI : 10.1007/s00041-013-9292-3

E. J. Candès and C. Fernandez-granda, Towards a Mathematical Theory of Super-resolution, Communications on Pure and Applied Mathematics, vol.52, issue.3, pp.906-956, 2013.
DOI : 10.1002/cpa.21455

S. S. Chen, D. L. Donoho, and M. A. Saunders, Atomic decomposition by basis pursuit, In: SIAM journal on scientific computing, vol.201, pp.33-61, 1999.
DOI : 10.1137/s003614450037906x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.7694

G. and D. Maso, An Introduction to ?-convergence Progress in nonlinear differential equations and their applications, 1993.

Y. De-castro and F. Gamboa, Exact reconstruction using Beurling minimal extrapolation, Journal of Mathematical Analysis and Applications, vol.395, issue.1, pp.336-354, 2012.
DOI : 10.1016/j.jmaa.2012.05.011
URL : https://hal.archives-ouvertes.fr/hal-00678423

Q. Denoyelle, V. Duval, and G. Peyré, Support Recovery for Sparse Deconvolution of Positive Measures, pp.1506-08264, 2015.

V. Duval and G. Peyré, Exact Support Recovery for Sparse Spikes Deconvolution, Foundations of Computational Mathematics, vol.15, issue.5, 2015.
DOI : 10.1007/s10208-014-9228-6
URL : https://hal.archives-ouvertes.fr/hal-00839635

V. Duval and G. Peyré, Sparse Spikes Retrieval on Thin Grids I: the LASSO
DOI : 10.1088/1361-6420/aa5e12

C. Ekanadham, D. Tranchina, and E. P. Simoncelli, A unified framework and method for automatic neural spike identification, Journal of Neuroscience Methods, vol.222, pp.47-55, 2014.
DOI : 10.1016/j.jneumeth.2013.10.001
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4075282

C. Ekanadham, D. Tranchina, and E. P. Simoncelli, Recovery of Sparse Translation-Invariant Signals With Continuous Basis Pursuit, Signal Processing, pp.4735-4744, 2011.
DOI : 10.1109/TSP.2011.2160058

C. Fernandez-granda, Support detection in super-resolution, Proc. Proceedings of the 10th International Conference on Sampling Theory and Applications (2013), pp.145-148

A. Florescu, A Constrained Optimization Approach For Complex Sparse Perturbed Models, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00783298

J. J. Fuchs, On Sparse Representations in Arbitrary Redundant Bases, IEEE Transactions on Information Theory, vol.50, issue.6, pp.1341-1344, 2004.
DOI : 10.1109/TIT.2004.828141
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.1728

A. Roger, C. R. Horn, and . Johnson, Matrix Analysis. 2nd, pp.521548233-9780521548236, 2012.

R. T. Rockafellar, R. J. Wets, and M. Wets, Variational analysis. Grundlehren der mathematischen Wissenschaften, 1998.

G. Schiebinger, E. Robeva, and B. Recht, Superresolution without separation, 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
DOI : 10.1109/CAMSAP.2015.7383732
URL : http://arxiv.org/abs/1506.03144

G. Tang and B. Recht, Atomic decomposition of mixtures of translation-invariant signals, IEEE CAMSAP, 2013.

R. Tibshirani, Regression shrinkage and selection via the Lasso, Journal of the Royal Statistical Society. Series B. Methodological, vol.581, pp.267-288, 1996.
DOI : 10.1111/j.1467-9868.2011.00771.x