2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60973We prove that an arbitrary function, which is holomorphic on some neighbourhood of z=0 in $\mathbb{C}^N$ and vanishes at z=0, whose values are bounded linear operators mapping one separable Hilbert space into another one, can be represented as the transfer function of some multiparametric discrete time-invariant conservative scattering linear system with a Krein space of its inner states.LaTeX, 16 pagesFunctional Analysistext