Memoirs of the American Mathematical Society 1987; 257 pp; softcover Volume: 67 ISBN10: 0821824287 ISBN13: 9780821824283 List Price: US$42 Individual Members: US$25.20 Institutional Members: US$33.60 Order Code: MEMO/67/366
 This book is aimed at researchers in complex analysis, several complex variables, or partial differential equations. Kuranishi proved that any abstract strongly pseudo convex CRstructure of real dimension \(\geq 9\) can be locally embedded in a complex euclidean space. For the case of real dimension \(=3\), there is the famous Nirenberg counterexample, but the cases of real dimension \(= 5\) or 7 were left open. The author of this book establishes the result for real dimension \(=7\) and, at the same time, presents a new approach to Kuranishi's result. Table of Contents  An a priori estimate for \(D^\psi_b\)
 An a priori estimate for \(D^f_b\)complex with respect to \(t_f\)
 The smoothing operator
 The algorithm for constructing a sequence of embeddings
 The local embedding theorem
