  A Mall bundle on a Hopf manifold H is a holomorphic vector bundle whose
pullback to the universal cover of H is trivial. We define resonant and
non-resonant Mall bundles, generalizing the notion of the resonance in ODE, and
prove that a non-resonant Mall bundle always admits a flat holomorphic
connection. We use this observation to prove a version of Poincare-Dulac
linearization theorem, showing that any non-resonant invertible holomorphic
contraction of a complex space is linear in appropriate holomorphic
coordinates. We define the notion of resonance in Hopf manifolds, and show that
all non-resonant Hopf manifolds are linear; previously, this result was
obtained by Kodaira using the Poincare-Dulac theorem.
