2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169975The main result of this paper is the existence of a hyperinvariant subspace of weighted composition operator $Tf=vf\circτ$ on $L^p([0,1]^d)$, ($1 \leq p \leq \infty$) when the weight $v$ is in the class of ``generalized polynomials'' and the composition map is a bijective ergodic transform satisfying a given discrepancy. The work is based on the construction of a functional calculus initiated by Wermer and generalized by Davie.Functional Analysis47A15, 47A10, 47A60text