2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212989The paper studies semi-almost periodic holomorphic functions on a polydisk which have, in a sense, the weakest possible discontinuities on the boundary torus. The basic result used in the proofs is an extension of the classical Bohr approximation theorem for almost periodic holomorphic functions on a strip to the case of Banach-valued almost periodic holomorphic functions.We give alternative proof of Theorem 1.4Complex VariablesFunctional Analysis30H05; 46J20Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functionstext