An Introduction to Involutive Structures

Shiferaw Berhanu is a Professor of Mathematics at Temple University in Philadelphia. Paulo D. Cordaro is a Professor of Mathematics in the Institute of Mathematics and Statistics at the University of São Paulo. Jorge Hounie is a Professor of Mathematics at the Federal University of São Carlos in Brazil.

• Preface; 1. Locally integrable structures; 2. The Baouendi-Treves approximation formula; 3. Sussmann's orbits and unique continuation; 4. Local solvability of vector fields; 5. The FBI transform and some applications; 6. Some boundary properties of solutions; 7. The differential complex associated to a formally integrable structure; 8. Local solvability in locally integrable structures; Epilogue; Bibliography; A. Hardy space lemmas.

'… carefully organised … The book will be very useful for students wanting to learn the subject and it also introduces interesting recent results for specialists.' EMS Newsletter