Beering, CarinaCarinaBeeringLeucht, AnneAnneLeucht2025-07-022025-07-0220241029-03111048-52521026-7654https://fis.uni-bamberg.de/handle/uniba/108462We provide a functional central limit theorem for a broad class of smooth functions for possibly non-causal multivariate linear processes with time-varying coefficients. Since the limiting processes depend on unknown quantities, we propose a local block bootstrap procedure to circumvent this inconvenience in practical applications. In particular, we prove bootstrap validity for a very large class of processes. Our results are illustrated by some numerical examples.engbootstrapfunctional central limit theoremlinear processlocal stationarity330article10.1080/10485252.2023.2284896