A. Barron, L. Birgé, and P. Massart, Risk bounds for model selection via penalization. Probab. Theory Related Fields, pp.301-413, 1999.

H. Cardot and J. Johannes, Thresholding projection estimators in functional linear models. forthcoming in the, Journal of Multivariate Analysis, 2009.

H. Cardot, F. Ferraty, and P. Sarda, Spline estimators for the functional linear model, Statistica Sinica, vol.13, pp.571-591, 2003.

F. Comte, Y. Rozenholc, and M. Taupin, Penalized contrast estimator for adaptive density deconvolution, Canadian Journal of Statistics, vol.18, issue.3, 2006.
DOI : 10.1002/cjs.5550340305

URL : https://hal.archives-ouvertes.fr/hal-00016489

C. Crambes, A. Kneip, and P. Sarda, Smoothing splines estimators for functional linear regression, The Annals of Statistics, vol.37, issue.1, pp.35-72, 2009.
DOI : 10.1214/07-AOS563

URL : https://hal.archives-ouvertes.fr/hal-00627068

H. W. Engl, M. Hanke, and A. Neubauer, Regularization of inverse problems, Kluwer Academic, 2000.

F. Ferraty and P. Vieu, Nonparametric Functional Data Analysis: Methods, Theory, Applications and Implementations, 2006.

M. Forni and L. Reichlin, Let's Get Real: A Factor Analytical Approach to Disaggregated Business Cycle Dynamics, Review of Economic Studies, vol.65, issue.3, pp.453-473, 1998.
DOI : 10.1111/1467-937X.00053

P. Hall and J. L. Horowitz, Methodology and convergence rates for functional linear regression, The Annals of Statistics, vol.35, issue.1, pp.70-91, 2007.
DOI : 10.1214/009053606000000957

G. M. James, J. Wang, and J. Zhu, Functional linear regression that???s interpretable, The Annals of Statistics, vol.37, issue.5A, 2009.
DOI : 10.1214/08-AOS641

J. Johannes, Nonparametric estimation in circular functional linear model, 2009.

B. A. Mair and F. H. Ruymgaart, Statistical Inverse Estimation in Hilbert Scales, SIAM Journal on Applied Mathematics, vol.56, issue.5, pp.1424-1444, 1996.
DOI : 10.1137/S0036139994264476

P. Massart, Concentration inequalities and model selection Lectures from the 33rd Summer School on Probability Theory held in Saint-Flour, Lecture Notes in Mathematics, vol.1896, 2003.

H. Müller and U. Stadtmüller, Generalized functional linear models, The Annals of Statistics, vol.33, issue.2, pp.774-805, 2005.
DOI : 10.1214/009053604000001156

F. Natterer, Error bounds for tikhonov regularization in hilbert scales, Applicable Analysis, vol.28, issue.1-2, pp.29-37, 1984.
DOI : 10.1080/00036818408839508

M. H. Neumann, On the effect of estimating the error density in nonparametric deconvolution, Journal of Nonparametric Statistics, vol.46, issue.4, pp.307-330, 1997.
DOI : 10.1214/aos/1176348768

V. V. Petrov, Limit theorems of probability theory. Sequences of independent random variables . Oxford Studies in Probability, 1995.

C. Preda and G. Saporta, PLS regression on a stochastic process, Computational Statistics & Data Analysis, vol.48, issue.1, pp.149-158, 2005.
DOI : 10.1016/j.csda.2003.10.003

URL : https://hal.archives-ouvertes.fr/hal-01124683

J. Ramsay and B. Silverman, Functional Data Analysis, 2005.

M. Talagrand, New concentration inequalities in product spaces, Inventiones Mathematicae, vol.126, issue.3, pp.505-563, 1996.
DOI : 10.1007/s002220050108

U. Tautenhahn, Error Estimates for Regularization Methods in Hilbert Scales, SIAM Journal on Numerical Analysis, vol.33, issue.6, pp.2120-2130, 1996.
DOI : 10.1137/S0036142994269411