B. Adcock and A. C. Hansen, A Generalized Sampling Theorem for Stable Reconstructions in Arbitrary Bases, Journal of Fourier Analysis and Applications, vol.35, issue.11, pp.685-716, 2012.
DOI : 10.1007/s00041-012-9221-x

R. Arcangéli, M. C. De-silanes, and J. J. Torrens, An extension of a bound for functions in Sobolev spaces, with applications to (m, s)-spline interpolation and smoothing, Numerische Mathematik, vol.13, issue.2???3, pp.181-211, 2007.
DOI : 10.1007/s00211-007-0092-z

R. Bélanger-rioux and L. Demanet, Compressed Absorbing Boundary Conditions via Matrix Probing, SIAM Journal on Numerical Analysis, vol.53, issue.5, pp.2441-2471, 2015.
DOI : 10.1137/14095563X

J. Bergé, S. Price, A. Amara, and J. Rhodes, On point spread function modelling: towards optimal interpolation, Monthly Notices of the Royal Astronomical Society, vol.419, issue.3, pp.2356-2368, 2012.
DOI : 10.1111/j.1365-2966.2011.19888.x

M. D. Buhmann, Radial basis functions: theory and implementations, Cambridge Monographs on Applied and Computational Mathematics, vol.12, pp.147-165, 2003.
DOI : 10.1017/CBO9780511543241

C. Chang, P. Marshall, J. Jernigan, J. Peterson, S. Kahn et al., Atmospheric point spread function interpolation for weak lensing in short exposure imaging data, Monthly Notices of the Royal Astronomical Society, vol.427, issue.3, pp.2572-2587, 2012.
DOI : 10.1111/j.1365-2966.2012.22134.x

J. Chiu and L. Demanet, Matrix Probing and its Conditioning, SIAM Journal on Numerical Analysis, vol.50, issue.1, pp.171-193, 2012.
DOI : 10.1137/110825972

A. Cohen, Wavelet methods in numerical analysis, 2003.
DOI : 10.1016/S1570-8659(00)07004-6

J. Duchon, Sur l'erreur d'interpolation des fonctions de plusieurs variables par les D m splines . RAIRO-Analyse numérique, pp.325-334, 1978.

P. Escande and P. Weiss, Approximation of integral operators using convolution-product expansions. arXiv preprint, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01301235

M. Gentile, F. Courbin, and G. Meylan, Interpolating point spread function anisotropy, Astronomy & Astrophysics, vol.549, p.1, 2013.
DOI : 10.1051/0004-6361/201219739

M. Jee, J. Blakeslee, M. Sirianni, A. Martel, R. White et al., Principal component analysis of the time-and position-dependent point-spread function of the advanced camera for surveys. Publications of the Astronomical Society of the Pacific, p.1403, 2007.

T. Kailath, Sampling models for linear time-variant filters, 1959.

W. Kozek and G. E. Pfander, Identification of Operators with Bandlimited Symbols, SIAM Journal on Mathematical Analysis, vol.37, issue.3, pp.867-888, 2005.
DOI : 10.1137/S0036141003433437

S. Mallat, A Wavelet Tour of Signal Processing ? The Sparse Way. Third Edition, 2008.

F. N. Mboula, J. Starck, S. Ronayette, K. Okumura, and J. Amiaux, Super-resolution method using sparse regularization for point-spread function recovery, Astronomy & Astrophysics, vol.575, p.86, 2015.
DOI : 10.1051/0004-6361/201424167
URL : https://hal.archives-ouvertes.fr/cea-01290110

C. A. Micchelli and M. Pontil, Kernels for multi-task learning, Proceedings of NIPS 2004, 2004.

C. A. Micchelli and M. Pontil, On Learning Vector-Valued Functions, Neural Computation, vol.1, issue.1, pp.177-204, 2005.
DOI : 10.1109/34.735807

G. E. Pfander, Sampling of Operators, Journal of Fourier Analysis and Applications, vol.253, issue.1, pp.612-650, 2013.
DOI : 10.1007/s00041-013-9269-2

G. E. Pfander, H. Rauhut, and J. Tanner, Identification of Matrices Having a Sparse Representation, IEEE Transactions on Signal Processing, vol.56, issue.11, pp.5376-5388, 2008.
DOI : 10.1109/TSP.2008.928503

E. M. Stein, Singular integrals and differentiability properties of functions (PMS-30), 2016.
DOI : 10.1515/9781400883882

A. B. Tsybakov, Introduction to nonparametric estimation Springer Series in Statistics, 2009.

F. Utreras, Cross-validation techniques for smoothing spline functions in one or two dimensions, Smoothing techniques for curve estimation, pp.196-232, 1979.
DOI : 10.1007/BF01437407

F. I. Utreras, Convergence rates for multivariate smoothing spline functions, Journal of Approximation Theory, vol.52, issue.1, pp.1-27, 1988.
DOI : 10.1016/0021-9045(88)90034-2

G. Wahba, Convergence rates of "thin plate" smoothing splines wihen the data are noisy, 1979.
DOI : 10.1007/BF01437407

H. Wendland, Scattered data approximation, 2004.
DOI : 10.1017/CBO9780511617539

H. Wendland and C. Rieger, Approximate Interpolation with Applications to Selecting Smoothing Parameters, Numerische Mathematik, vol.21, issue.4, pp.729-748, 2005.
DOI : 10.1007/s00211-005-0637-y