New Approach to the Local Embedding Theorem of Cr-Structures for N

This book is aimed at researchers in complex analysis, several complex variables, or partial differential equations. Kuranishi proved that any abstract strongly pseudo convex CR-structure 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 counter example, 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.