1 Introduction and Main Results
Let ? ? Rn be a neighborhood of 0, and denote by i the square root of?1. We consider the following system of complex vectorfields Pj=?xj?i?xj?(x)?t,j=1,…, n, (x, t)∈?× R, (1.1) where ?(x) is a real-valued function defined in ?. This system was first studied by Treves[4], and considered therein is more general case for t varies in Rm rather than R.