“…In some of early papers on the subject, it is proved that solutions of elliptic systems in the form of (4.1) that vanish of sufficiently high order at the origin are ≡ 0; see [7,15,47] and the references cited in these papers for definitions of elliptic systems. A classical method of proof is to reduce the systems to (quasi-) diagonal form; this approach requires conditions on the regularity and the multiplicity of the eigenvalues of the system that are often difficult to check; see [9,24,29,56]. The strong continuation properties of systems of complex analytic vector fields in the form of Lu = 0 defined on a real-analytic manifold is proved in [1].…”