P. Besse, H. Cardot, and D. Stephenson, Autoregressive Forecasting of Some Functional Climatic Variations, Scandinavian Journal of Statistics, vol.27, issue.4, pp.673-687, 2000.
DOI : 10.1111/1467-9469.00215

P. Billingsley, Convergence of probability measures Wiley Series in Probability and Statistics: Probability and Statistics, 1999.

D. Blanke and D. Bosq, Observing jumps in discrete time. Applications, 2014.

M. Bloznelis and V. Paulauskas, On the central limit theorem in D[0, 1], Statistics & Probability Letters, vol.17, issue.2, pp.105-111, 1993.
DOI : 10.1016/0167-7152(93)90004-3

D. Bosq, Estimating and detecting jumps. Applications to D[0,1]-valued linear processes, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01207305

R. C. Bradley, Introduction to strong mixing conditions, 2007.

H. Cardot, Convergence du lissage spline de la pr??vision des processus autor??gressifs fonctionnels, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.326, issue.6, pp.755-758, 1998.
DOI : 10.1016/S0764-4442(98)80044-X

R. Cont and P. Tankov, Financial modelling with jump processes, CRC Financial Mathematics Series. Chapman & Hall/CRC, vol.2, 2004.
DOI : 10.1201/9780203485217
URL : https://hal.archives-ouvertes.fr/hal-00002693

J. Damon and S. Guillas, Estimation and Simulation of Autoregressive Hilbertian Processes with Exogenous Variables, Statistical Inference for Stochastic Processes, vol.22, issue.384, pp.185-204, 2005.
DOI : 10.1007/s11203-004-1031-6

E. Hajj and L. , Théorèms limites pour les processus autorégressifs autorégressifsà valeurs dans D[0, 1], C. R. Math. Acad. Sci. Paris, vol.349, pp.13-14, 2011.

E. Hajj and L. , Théorèmes limites pour les processus autorégressifs autorégressifsà valeurs dans D[0,1], 2013.

F. Ferraty and P. Vieu, Nonparametric functional data analysis . Springer Series in Statistics, Theory and practice, 2006.

S. M. Garba, A. B. Gumel, and M. R. Bakar, Backward bifurcations in dengue transmission dynamics, Mathematical Biosciences, vol.215, issue.1, pp.11-25, 2008.
DOI : 10.1016/j.mbs.2008.05.002

V. Jacq, P. Albert, and R. Delorme, Le mistral. Quelques aspects des connaissances actuelles, La météorologie, vol.50, pp.30-38, 2005.

V. Kargin and A. Onatski, Curve forecasting by functional autoregression, Journal of Multivariate Analysis, vol.99, issue.10, pp.2508-2526, 2008.
DOI : 10.1016/j.jmva.2008.03.001

J. M. Marion and B. Pumo, Comparaison des modèles ARH(1) et ARHD(1) sur des données physiologiques, Ann. I.S.U.P, issue.3, pp.48-77, 2004.

A. Mas, Consistance du prédicteur dans le modèle ARH(1): le cas compact, Ann. I.S.U.P, vol.48, issue.3, pp.39-48, 2004.

T. Mourid, Estimation and Prediction of Functional Autoregressive Processes, Statistics, vol.36, issue.2, pp.125-138, 2002.
DOI : 10.1080/02331880212048

V. Y. Pan, Solving a Polynomial Equation: Some History and Recent Progress, SIAM Review, vol.39, issue.2, pp.187-220, 1997.
DOI : 10.1137/S0036144595288554

W. R. Pestman, Measurability of linear operators in the Skorokhod topology, Bull. Belg. Math. Soc. Simon Stevin, vol.2, issue.4, pp.381-388, 1995.

B. Pumo, Prediction of continuous time processes by C [0,1] valued autoregressive process, Statistical Inference for Stochastic Processes, vol.1, issue.3, pp.297-309, 1998.
DOI : 10.1023/A:1009951104780

M. D. Ruiz-medina, Spatial functional prediction from spatial autoregressive Hilbertian processes, Environmetrics, vol.25, issue.6, pp.119-128, 2012.
DOI : 10.1002/env.1143

A. N. Shiryaev, Probability (Second ed.), Volume 95 of Graduate Texts in Mathematics, 1980.

P. Tankov and E. Voltchkova, Jump-diffusion models: a practitioners guide, Banque et Marchés, vol.99, pp.1-24, 2009.