
An Introduction to Involutive Structures
Cambridge University Press
Published on 20. March 2008
Book
Hardback
404 pages
978-0-521-87857-9 (ISBN)
Description
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.
Reviews / Votes
'... 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 NewsletterMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 26 mm
Weight
736 gr
ISBN-13
978-0-521-87857-9 (9780521878579)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Shiferaw Berhanu | Paulo D. Cordaro | Jorge Hounie
An Introduction to Involutive Structures
E-Book
04/2008
1st Edition
Cambridge University Press
€79.99
Available for download
Persons
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 Sao Paulo. Jorge Hounie is a Professor of Mathematics at the Federal University of Sao Carlos in Brazil.
Author
Temple University, Philadelphia
Universidade de Sao Paulo
Content
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.