Notes on spectral theory, Van Nostrand Mathematical Studies, issue.5, 1966. ,

On the asymptotic normality of kernel estimators of the long run covariance of functional time series, Journal of Multivariate Analysis, vol.144, pp.150-175, 2016. ,

Linear processes in function spaces, Lecture Notes in Statistics, vol.149, 2000. ,

The central limit theorem for a sequence of random processes with space-varying long memory, Lithuanian mathematical journal, vol.53, issue.2, pp.149-160, 2013. ,

Operator self-similar processes and functional central limit theorems, Stochastic Processes and their Applications, vol.124, pp.2605-2627, 2014. ,

A Course in Functional Analysis, 1994. ,

A note on quadratic forms of stationary functional time series under mild conditions, Stochastic Processes and their Applications, 2019. ,

Spectral analysis of weakly stationary processes valued in a separable Hilbert space, 2020. ,

URL : https://hal.archives-ouvertes.fr/hal-02318267

Limit theorems for Hilbert space-valued linear processes under long range dependence, Stochastic Processes and their Applications, vol.128, pp.1439-1465, 2018. ,

Holomorphic operator functions of one variable and applications, vol.192, 2009. ,

Weakly dependent functional data. The annals of statistics, vol.38, pp.1845-1884, 2010. ,

Dynamic functional principal components, J. R. Stat. Soc. Ser. B. Stat. Methodol, vol.77, issue.2, pp.319-348, 2015. ,

Inference for Functional Data with Applications ,

, Springer Series in Statistics, 2012.

Estimation of the mean of functional time series and a two-sample problem, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.75, issue.1, pp.103-122, 2013. ,

Multidimensional Second Order Stochastic Processes, 1997. ,

Prediction of functional ARMA processes with an application to traffic data, Econometrics and Statistics, vol.1, pp.128-149, 2017. ,

Dependent functional data. ISRN Probability and Statistics, 2012. ,

Frequency domain theory for functional time series: Variance decomposition and an invariance principle, Bernoulli, vol.26, issue.3, pp.2383-2399 ,

Long-range dependent curve time series, Journal of the American Statistical Association, vol.115, issue.530, pp.957-971, 2020. ,

Fourier analysis of stationary time series in function space, Ann. Statist, vol.41, issue.2, pp.568-603, 2013. ,

Cramer-karhunen-loeve representation and harmonic principal component analysis of functional time series, Stochastic Processes And Their Applications, vol.123, pp.29-2779, 2013. ,

Long-Range Dependence and Self-Similarity, Cambridge Series in Statistical and Probabilistic Mathematics, 2017. ,

Operator fractional brownian motion as limit of polygonal lines processes in hilbert space, Stochastics and Dynamics, vol.11, issue.01, pp.49-70, 2011. ,

Strictly stationary solutions of ARMA equations in Banach spaces, Journal of Multivariate Analysis, vol.121, pp.127-138 ,

Fourier Analysis of Functional Time Series, with Applications to DNA Dynamics, 2014. ,