Detailing the main methods in the theory of involutive systems of
complex vector fields this book examines the major results from the
last twenty five years in the subject. One of the key tools of the
subject - the Baouendi-Treves approximation theorem - is proved for
many function spaces. This in turn is applied to questions in
partial differential equations and several complex variables. Many
basic problems such as regularity, unique continuation and boundary
behaviour of the solutions are explored. The local solvability of
systems of partial differential equations is studied in some
detail. The book provides a solid background for others new to the
field and also contains a treatment of many recent results which
will be of interest to researchers in the subject.
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