  This work adopts a Banach-valued time series framework for component-wise
estimation and prediction, from temporal correlated functional data, in
presence of exogenous variables. The strong-consistency of the proposed
functional estimator and associated plug-in predictor is formulated. The
simulation study undertaken illustrates their large-sample size properties. Air
pollutants PM10 curve forecasting, in the Haute-Normandie region (France), is
addressed by implementation of the functional time series approach presented
