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Includes bibliographical references (pages 381-389) and index.
Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas.
Detailing the main methods in the theory of involutive systems of complex vector fields, this book examines the major results from the last 25 years in the subject. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored.
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